{"id":740,"date":"2022-08-01T14:06:40","date_gmt":"2022-08-01T08:36:40","guid":{"rendered":"https:\/\/theexampillar.com\/ukgk\/?p=740"},"modified":"2022-08-02T23:56:25","modified_gmt":"2022-08-02T18:26:25","slug":"uksssc-police-head-constable-mukhya-aarakshi-telecommunication-exam-31-july-2022-answer-key","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ukgk\/uksssc-police-head-constable-mukhya-aarakshi-telecommunication-exam-31-july-2022-answer-key\/","title":{"rendered":"UKSSSC Police Head Constable (Mukhya Aarakshi) Telecommunication Exam 31 July 2022 (Official Answer Key)"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Uttarakhand Subordinate Service Selection Commission (UKSSSC) Conducted the Uttarakhand Police Head Constable &#8211; Telecommunication Exam on 31 July, 2022. Uttarakhand Police Head Constable &#8211; Telecommunication Exam Paper with Official\u00a0Answer Key available here &#8211;\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Post \u2014<\/strong> Uttarakhand Police Head Constable &#8211; Telecommunication<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><b>Organization \u2014 <\/b>Uttarakhand Police<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Exam Date \u2014<\/strong> 31 July, 2022\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Total Question \u2014<\/strong> 100<br \/>\n<strong>Paper Set \u2014<\/strong>\u00a0A<\/span><\/p>\n<p><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><span style=\"color: #ff0000;\"><strong>Read Also<\/strong> &#8211;<\/span> <\/span><\/p>\n<table style=\"border-collapse: collapse; width: 100%;\" border=\"1\">\n<tbody>\n<tr>\n<td style=\"width: 77.3561%;\"><span style=\"color: #ff0000;\"><strong><span style=\"font-family: georgia, palatino, serif;\">Uttarakhand <\/span>Police Head Constable (Mukhya Aarakshi) Telecommunication Exam 31 July 2022 (Official Answer Key)<\/strong><\/span><\/td>\n<td style=\"width: 19.6439%; text-align: center;\"><span style=\"color: #0000ff; font-size: 12pt; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/uksssc-police-head-constable-mukhya-aarakshi-telecommunication-exam-31-july-2022-official-answer-key\" target=\"_blank\" rel=\"noopener\"><strong>Hindi Language<\/strong><\/a><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Uttarakhand Police Head Constable (Telecommunication) Exam Paper 2022<br \/>\n(Official Answer Key)<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">1. A person who has a tendency to steal. One word of this sentence is: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Insomnia <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Posthumous <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Kleptomaniac <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Promenade<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">2. The fact that he is silent, proves his guilt. The above sentence is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Simple sentence <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Compound sentence <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Complex sentence <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Exclamatory sentence<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">3. The Sun ________ the birds began to chirp. The suitable option in the blank will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) rose <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) having been risen <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) having risen <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) being risen<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">4. <span style=\"text-decoration: underline;\">I am working<\/span> on this book since last January. Correct the underlined with suitable option given below: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) was working <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) have been worked <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) being working <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) have been working<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">5. My friend said to me, \u201cHas your father returned from Kolkata?\u201d The correct indirect narration of the above sentence is: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) My friend asked me if my father had returned from Kolkata. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) My friend asked me that my father has returned from Kolkata. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) My friend told me that his father had returned from Kolkata. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) My friend enquired me if his father had returned from Kolkata.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">6. From the following the correctly spelt word is: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Interegnum <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Intregnum <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Interregnim <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Interregnum<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">7. One of the following is passive voice which is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) I expected him to come here at the right time. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) I made him run. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) I expected the work to be finished in time. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) I expected to finish the work in time.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">8. The correct active voice of the following sentence is : It will have to be done by you. <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) You will do it. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) You will have to do it. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) You have to do it. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) You will have it<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">9. The correct meaning of the underlined phrase in the following is : <\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">We should guard against our <span style=\"text-decoration: underline;\">green-eyed<\/span> friend. <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Rich <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Jealous <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Handsome <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Enthusiastic<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">10. The clerk ________ the money from the bank by two o&#8217;clock. The suitable option in the blank will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) is withdrawing <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) has withdrawn <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) had been withdrawing <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) will have withdrawn<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">11. The most appropriate word in the blank will be:<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">If I ________ a bird I would fly in the sky.<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) am <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) was <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) be <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) were<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">12. The figure of speech found in : <\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">\u2018Life is a dream\u2019 is <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Metaphor <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Simile <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Personification <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">13. The correct modal in the given sentence is: <\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">She wore good clothes so that she ________ appear attractive. <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) might <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) shall <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) may <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) can<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">14. The antonym of \u2018Expedite\u2019 is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Accelerate <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Renegotiate <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Delay <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Hurry<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">15. The verse is so difficult that one cannot understand it. The affirmative sentence of the above will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) The verse is too difficult to understand. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) The verse is so difficult to understand. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) The verse is hardly to understand. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">16. Mohita accepted the marriage proposal, <span style=\"text-decoration: underline;\">which<\/span> I put yesterday. In this sentence \u2018Which\u2019 is: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Adverb clause <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Adjective clause <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Noun clause <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">17. The appropriate synonym of the word \u2018Naive\u2019 is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Smart <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Subtle <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Straight forward <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Spotless<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">18. Either Sunil or his friends ________ this mistake. <\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">The correct form in the blank will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) has made <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) have made <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) both have made <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) all have made<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">19. The part of speech used for the underlined word in the following sentence is : <\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\"><span style=\"text-decoration: underline;\">Such<\/span> was not my intention. <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Adjective <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Pronoun <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Adverb <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Verb<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">20. The work was done ________ haste. <\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">The correct preposition in the blank will be:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) for <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) to <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) with <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) in<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><!--nextpage--><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">21. Relation between coefficient of friction (\u03bc) and angle of friction (\u03b8) is :<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) \u03bc = cos\u03b8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) \u03bc = tan\u03b8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) \u03bc = sin\u03b8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">22. A 42 kilowatt engine is operating between 227\u00b0C and 177\u00b0C; the efficiency of the engine will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 5%<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 20%<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 10%<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 15%<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">23. According to Bohr, the ratio of velocities of electrons in first, second and third orbit of hydrogen atom would be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 1:2:3 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 3:2:1 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 6:3:2 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 2:3:6<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">24. The multiplicative inverse of 4 &#8211; 3<em>i<\/em> is :<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{25}&amp;space;-&amp;space;\\frac{3}{25}i\" alt=\"\\frac{4}{25} - \\frac{3}{25}i\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{25}&amp;space;-&amp;space;\\frac{4}{25}i\" alt=\"\\frac{3}{25} - \\frac{4}{25}i\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><br \/>\n(C) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{25}&amp;space;+&amp;space;\\frac{4}{25}i\" alt=\"\\frac{3}{25} + \\frac{4}{25}i\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><br \/>\n(D) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{4}{25}&amp;space;+&amp;space;\\frac{3}{25}i\" alt=\"\\frac{4}{25} + \\frac{3}{25}i\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">25. Which of the following statement is correct? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Determinant is a square matrix <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Determinant is a number associated to a matrix <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Determinant is a number associated to a square matrix <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">26. Area of a rectangle having vertices A, B, C and D with position vectors <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{-\\hat{i}&amp;space;+&amp;space;\\frac{1}{2}\\hat{j}&amp;space;+4\\hat{k},&amp;space;\\hat{i}&amp;space;+\\frac{1}{2}\\hat{j}&amp;space;+4\\hat{k},&amp;space;\\hat{i}&amp;space;-\\frac{1}{2}\\hat{j}+\\hat{k}}\" alt=\"\\mathbf{-\\hat{i} + \\frac{1}{2}\\hat{j} +4\\hat{k}, \\hat{i} +\\frac{1}{2}\\hat{j} +4\\hat{k}, \\hat{i} -\\frac{1}{2}\\hat{j}+\\hat{k}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\hat{i}&amp;space;-&amp;space;\\frac{1}{2}\\hat{j}&amp;space;+&amp;space;4\\hat{k}}\" alt=\"\\mathbf{\\hat{i} - \\frac{1}{2}\\hat{j} + 4\\hat{k}}\" align=\"absmiddle\" \/> respectively is :<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) \u00bd <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 1<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 4<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">27. On increasing the intensity of light, the maximum kinetic energy of photo electrons will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) increases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) decreases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) remains unchanged <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) none of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">28. Kepler&#8217;s second law is a consequence of: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) conservation of kinetic energy <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) conservation of linear momentum <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) conservation of charge <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) conservation of angular momentum<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">29. If the focal length of a biconvex lens in air is 10 cm. and if this lens is immersed in water (\u03bc = 4\/3), then its focal length is (refractive index of glass = 3\/2): <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 5 cm <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 10 cm <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 20 cm <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 40 cm<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">30. Distance between the line 4x + 3y = 11 and 8x + 6y = 15 will be <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 7\/10<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 5 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 7\/4 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">31. If V<sub>o<\/sub> and V<sub>e<\/sub> are orbital velocity and escape velocity respectively, then: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) V<sub>e<\/sub> = V<sub>o<\/sub><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) V<sub>o<\/sub> = \u221a2 V<sub>e<\/sub><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) V<sub>e<\/sub> = V<sub>o<\/sub>\u221a2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">32. On the basis of which property from the following the light waves and sound waves can be differentiated? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Interference <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Refraction <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Polarisation <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Reflection<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">33. The value of \u222btan<sup>2<\/sup> x dx will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) tan x + x + C <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) cot x + x + C <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) tan x &#8211; x + C <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) cot x &#8211; x + C<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">34. If the radius of a soap bubble is r. the surface tension of soap solution is T. keeping temperature constant, the radius of the soap bubble is doubled, the energy necessary for this will be <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 8\u03c0r<sup>2<\/sup>T<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 16\u03c0r<sup>2<\/sup>T <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 24\u03c0r<sup>2<\/sup>T <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 32\u03c0r<sup>2<\/sup>T<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">35. From which layer of atmosphere the radio waves are reflected <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Mesosphere <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Troposphere <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Exosphere <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Ionosphere<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">36. There are 20 teachers in a school who teach Mathematics or Physics. Out of these, 12 teach Mathematics and 4 teach Physics and Mathematics both then how many teachers teach Physics? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 16 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 12 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 4<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">37. The audio frequencies range is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 20 Hz to 20,000 kHz <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 20 Hz to 20 kHz <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 20 kHz to 20,000 kHz <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">38. If A and B are two disjoint sets, then the value of n (A \u222a B) will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) (A) + n(B) <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) n(A) + n(B) &#8211; n(A \u2229 B) <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) n(A) + n(B) + n(A \u2229 B) <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) n(A).n(B)<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">39. By increasing angle of incidence in a prism, angle of deviation (\u03b4) changes as: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Angle of deviation increases continuously <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Angle of deviation decreases continuously <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) First increases, become maximum then decreases<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) First decreases become minimum and then increases<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">40. When a body falls freely towards the earth, then its total energy:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Increases<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Remains constant<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Decreases<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) First increases and then decreases<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><!--nextpage--><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">41. The derivative of the product of two functions u and v is:<br \/>\n<\/span><\/strong>(A) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{d}{dx}&amp;space;(u.v)&amp;space;=&amp;space;u.\\frac{du}{dx}&amp;space;+v.\\frac{dv}{dx}\" alt=\"\\frac{d}{dx} (u.v) = u.\\frac{du}{dx} +v.\\frac{dv}{dx}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{d}{dx}&amp;space;(u.v)&amp;space;=&amp;space;u.\\frac{dv}{dx}&amp;space;+v.\\frac{du}{dx}\" alt=\"\\frac{d}{dx} (u.v) = u.\\frac{dv}{dx} +v.\\frac{du}{dx}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(C) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{d}{dx}&amp;space;(u.v)&amp;space;=&amp;space;\\frac{du}{dx}.\\frac{dv}{dx}\" alt=\"\\frac{d}{dx} (u.v) = \\frac{du}{dx}.\\frac{dv}{dx}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">42. The equation of the line that goes parallel to the x-axis and from the origin is:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) x\/0 = y\/1 = z\/0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) x\/0 = y\/0 = z\/0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) x\/1 = y\/0 = z\/0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) x\/0 = y\/0 = z\/1<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">43. The polar form of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{(i^{25})^3}\" alt=\"\\mathbf{(i^{25})^3}\" align=\"absmiddle\" \/> is :<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) cos \u03c0 + i sin \u03c0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) cos \u03c0\/2 + i sin \u03c0\/2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) cos \u03c0 &#8211; i sin \u03c0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) cos \u03c0 &#8211; i sin \u03c0\/2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">44. If <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\left&amp;space;|&amp;space;\\begin{matrix}&amp;space;2&amp;space;&amp;&amp;space;&amp;3&amp;space;\\\\&amp;space;4&amp;space;&amp;&amp;space;&amp;5&amp;space;\\end{matrix}&amp;space;\\right&amp;space;|}\" alt=\"\\mathbf{\\left | \\begin{matrix} 2 &amp; &amp;3 \\\\ 4 &amp; &amp;5 \\end{matrix} \\right |}\" align=\"absmiddle\" \/>\u00a0 = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\left&amp;space;|&amp;space;\\begin{matrix}&amp;space;x&amp;space;&amp;&amp;space;&amp;3&amp;space;\\\\&amp;space;2x&amp;space;&amp;&amp;space;&amp;5&amp;space;\\end{matrix}&amp;space;\\right&amp;space;|\" alt=\"\\left | \\begin{matrix} x &amp; &amp;3 \\\\ 2x &amp; &amp;5 \\end{matrix} \\right |\" align=\"absmiddle\" \/>then the value of x will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 4<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 3<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 5<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">45. On what principle does the dynamo work? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Electro magnetic induction <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Induced current <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Induced magnetism <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">46. The maximum value of angle of dip is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 0\u00b0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 90\u00b0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 45\u00b0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 60\u00b0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">47. The eccentricity (e) of an ellipse satisfies which of the following condition? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) e &lt; 0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 0 &lt; e &lt;l <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) e = 1 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) e &gt; 1<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">48. A = {1, 2, 3}, then number of equivalence relations containing (1, 2) will be <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 1 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 2 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 3 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 4<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">49. If \u2018\u03b8\u2019 is angle between the two vectors is <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{a}}\" alt=\"\\mathbf{\\vec{a}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{b}}\" alt=\"\\mathbf{\\vec{b}}\" align=\"absmiddle\" \/> such that <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\left&amp;space;|&amp;space;\\mathbf{\\vec{a}}.\\mathbf{\\vec{b}}&amp;space;\\right&amp;space;|&amp;space;=&amp;space;\\left&amp;space;|&amp;space;\\mathbf{\\vec{a}}&amp;space;\\times&amp;space;\\mathbf{\\vec{b}}&amp;space;\\right&amp;space;|\" alt=\"\\left | \\mathbf{\\vec{a}}.\\mathbf{\\vec{b}} \\right | = \\left | \\mathbf{\\vec{a}} \\times \\mathbf{\\vec{b}} \\right |\" align=\"absmiddle\" \/>, when the value of \u03b8 will be <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) \u03c0\/4<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) \u03c0\/2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) \u03c0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">50. The value of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\int_{0}^{\\pi\/2}sin2x&amp;space;dx}\" alt=\"\\mathbf{\\int_{0}^{\\pi\/2}sin2x dx}\" align=\"absmiddle\" \/> will be.<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) \u03c0\/2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) \u00bd <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 1<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">51. Differentiation of function <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{e^{e^{x}}}\" alt=\"\\mathbf{e^{e^{x}}}\" align=\"absmiddle\" \/>\u00a0with respect to x, will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) e<sup>x<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?e^{e^{x}}\" alt=\"e^{e^{x}}\" align=\"absmiddle\" \/>. e<sup>x<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) e<sup>-x<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?e^{x^{2}}\" alt=\"e^{x^{2}}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">52. <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{x^2&amp;space;\\frac{d^3y}{dx^3}&amp;space;+&amp;space;x\\frac{d^2y}{dx^2}&amp;space;+&amp;space;y\\frac{dy}{dx}&amp;space;=&amp;space;0}\" alt=\"\\mathbf{x^2 \\frac{d^3y}{dx^3} + x\\frac{d^2y}{dx^2} + y\\frac{dy}{dx} = 0}\" align=\"absmiddle\" \/>, its order and degree will be <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Order 3 Degree 1 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Degree 2 Order 3 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Order 3 Degree 3 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">53. The value of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\int&amp;space;e^x&amp;space;\\left&amp;space;(&amp;space;logx+\\frac{1}{x}&amp;space;\\right&amp;space;)dx}\" alt=\"\\mathbf{\\int e^x \\left ( logx+\\frac{1}{x} \\right )dx}\" align=\"absmiddle\" \/> will be : <\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">(A) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?e^x&amp;space;log&amp;space;x+C\" alt=\"e^x log x+C\" align=\"absmiddle\" \/><br \/>\n<\/span>(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{e^x}{x}&amp;space;+&amp;space;C\" alt=\"\\frac{e^x}{x} + C\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">(C) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?e^x&amp;space;+C\" alt=\"e^x +C\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">(D) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?e^x&amp;space;\\left&amp;space;(\\frac{1}{x}&amp;space;-&amp;space;\\frac{1}{x^2}\\right)&amp;space;+C\" alt=\"e^x \\left (\\frac{1}{x} - \\frac{1}{x^2}\\right) +C\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">54. The velocity of sound on rainy days as compared to other days: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) increases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) decreases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) remains same <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) none of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">55. Principal value of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{sin^{-1}\\left&amp;space;(-&amp;space;\\frac{1}{2}&amp;space;\\right&amp;space;)}\" alt=\"\\mathbf{sin^{-1}\\left (- \\frac{1}{2} \\right )}\" align=\"absmiddle\" \/> will be:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) \u03c0\/6<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) \u03c0\/3<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) -\u03c0\/6<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) -\u03c0\/3<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">56. If matrix <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{A&amp;space;=&amp;space;\\begin{vmatrix}&amp;space;1&amp;space;&amp;&amp;space;8\\\\&amp;space;2&amp;space;&amp;&amp;space;7&amp;space;\\end{vmatrix}}\" alt=\"\\mathbf{A = \\begin{vmatrix} 1 &amp; 8\\\\ 2 &amp; 7 \\end{vmatrix}}\" align=\"absmiddle\" \/>, then:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) (A + A\u2019) is a symmetric matrix <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) (A + A\u2019) is a skew symmetric matrix <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) (A &#8211; A\u2019) is a null matrix <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) (A &#8211; A\u2019) is an identity matrix<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">57. If P(A) = 7\/13, P(B) = 9\/13 and P(A \u2229 B) = 4\/13 then the value of P(A\/B) will be. <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 4\/9<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 5\/9<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 3\/9<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 2\/9<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">58. The function <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{f(x)&amp;space;=&amp;space;\\frac{4-x^2}{4x-x^3}}\" alt=\"\\mathbf{f(x) = \\frac{4-x^2}{4x-x^3}}\" align=\"absmiddle\" \/> is<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) discontinuous at only one point <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) discontinuous at exactly two points <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) discontinuous at exactly three points <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) none of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">59. The value of 2 sin 5\u03b8.cos\u03b8 will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) sin 6\u03b8 + cos 4\u03b8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) sin 6\u03b8 &#8211; sin 4\u03b8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) sin 6\u03b8 + sin 4\u03b8<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) cos 6\u03b8 + cos 4\u03b8<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">60. If the mass of the bob of a simple pendulum is doubled, then its time period would become :<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Double <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Four times <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Remains unchanged <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Half<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><!--nextpage--><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">61. Which term of the series 20, 18, 16 &#8230;. is -2? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 10 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 13 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 12 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 11 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">62. When r=3, then the rate of change of area of the circle with respect to its radius will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 3\u03c0 cm2 \/sec <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 4\u03c0 cm2\/sec. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 6\u03c0 cm2\/sec. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">63. If <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{a}&amp;space;=&amp;space;\\widehat{i}-7\\widehat{j}+7\\widehat{k}}\" alt=\"\\mathbf{\\vec{a} = \\widehat{i}-7\\widehat{j}+7\\widehat{k}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{b}&amp;space;=&amp;space;3\\widehat{i}-2\\widehat{j}+2\\widehat{k}}\" alt=\"\\mathbf{\\vec{b} = 3\\widehat{i}-2\\widehat{j}+2\\widehat{k}}\" align=\"absmiddle\" \/> then the value of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{a}&amp;space;\\times&amp;space;\\vec{b}&amp;space;}\" alt=\"\\mathbf{\\vec{a} \\times \\vec{b} }\" align=\"absmiddle\" \/> will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 19\u221a2 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 20\u221a2 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) \u221a200 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">64. If <sup>15<\/sup>C<sub>3r<\/sub> = <sup>15<\/sup>C<sub>r+3<\/sub> then the value of r will be:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 3<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 5<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 7<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">65. The reason of brilliance of diamond is: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Interference <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Diffraction <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Total internal reflection <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Polarization<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">66. At what speed does a listener move with respect to a stationary sound source that he or she may hear twice the frequency of the source? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Half of the speed of sound towards the source <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Double of the speed of sound towards the source <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Speed of sound away from the source <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Speed of sound towards source<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">67. At what height from the centre of the earth do Geostationary satellites revolves in their orbit? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 35,800 Km <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 30,700 Km <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 32,600 Km <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 31,400 Km<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">68. Two capacitors of capacitance C are connected in series. If one of them is completely filled with dielectric medium of dielectric constant K, what would be their effective capacitance?<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) KC\/(1+K)<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) C(K+1)<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 2KC\/(1+K)<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) (1+K)\/KC<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">69. Which of the following gate is a universal gate? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) OR <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) NAND <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) NOT <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) AND<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">70. S.I. unit of magnetic flux is: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Gauss <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Weber\/m.<sup>2 <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Tesla <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Weber<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">71. If a set A has n elements, then the number of elements in the power set of A will be:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) n<sup>2 <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 2<sup>n <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 2<sup>2n<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 2<sup>n+1 <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">72. The Integration Factor (I.F) of differential equation <\/span><\/strong><\/span><img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{x\\frac{dy}{dx}-y=2x^2}\" alt=\"\\mathbf{x\\frac{dy}{dx}-y=2x^2}\" align=\"absmiddle\" \/> \u00a0<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">will be :<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) e<sup>-x<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) e<sup>-y<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 1\/x <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) x<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">73. On increasing the temperature, the viscosity of a liquid: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) decreases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) increases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) no change <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">74. A wheel makes 360 revolutions in one minute, then number of radians does it turn in one second is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 15\u03c0 Radian <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 8\u03c0 Radian<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 12\u03c0 Radian <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 16\u03c0 Radian<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">75. A body is projected from earth with a velocity of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{v}&amp;space;=&amp;space;(3\\widehat{i}&amp;space;+&amp;space;10\\widehat{j})}\" alt=\"\\mathbf{\\vec{v} = (3\\widehat{i} + 10\\widehat{j})}\" align=\"absmiddle\" \/> . What will be the maximum height gain by the body? (g = 10 m\/s.<sup>2<\/sup>):<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 5m <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 3 m <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 6 m <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) .45 m<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">76. A radioactive series <sub>92<\/sub>U<sup>238<\/sup> \u2192 <sub>82<\/sub>Pb<sup>206<\/sup> . How many \u03b1 and \u03b2 particles will be emitted? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 10\u03b2, 6\u03b1 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 12\u03b1, 6\u03b2 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 8\u03b1, 8\u03b2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 8\u03b1, 6\u03b2<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">77. The angle between <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{A}&amp;space;=&amp;space;2\\widehat{i}&amp;space;+3\\widehat{j}}\" alt=\"\\mathbf{\\vec{A} = 2\\widehat{i} +3\\widehat{j}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{B}&amp;space;=&amp;space;6\\widehat{i}&amp;space;-4\\widehat{j}}\" alt=\"\\mathbf{\\vec{B} = 6\\widehat{i} -4\\widehat{j}}\" align=\"absmiddle\" \/> will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 45\u00b0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 90\u00b0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 60\u00b0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 180\u00b0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">78. If R is a relation on a finite set A having n elements, then number of relations on A will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 2<sup>n <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?2^{n^{2}}\" alt=\"2^{n^{2}}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) n<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) n<sup>n<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">79. The dimension of modulus of elasticity is <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) [M<sup>2<\/sup>L<sup>1<\/sup>T<sup>2<\/sup>] <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) ]M<sup>-1<\/sup>L<sup>-1<\/sup>T<sup>-2<\/sup>] <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) [MLT<sup>-2<\/sup>] <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) [ML<sup>-1<\/sup>T<sup>-2<\/sup>]<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">80. The maximum value of (1\/x)<sup>x<\/sup> will be.<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) e<br \/>\n(B) e<sup>e<\/sup><br \/>\n(C) e<sup>1\/e<\/sup><br \/>\n(D) (1\/e)<sup>1\/e<\/sup><br \/>\n<div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><!--nextpage--><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">81. If A = <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\begin{bmatrix}&amp;space;1&amp;space;&amp;&amp;space;2\\\\&amp;space;2&amp;space;&amp;&amp;space;3&amp;space;\\end{bmatrix}}\" alt=\"\\mathbf{\\begin{bmatrix} 1 &amp; 2\\\\ 2 &amp; 3 \\end{bmatrix}}\" align=\"absmiddle\" \/>, then A<sup>-1<\/sup> will be:<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\">(A) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\begin{bmatrix}&amp;space;-3&amp;space;&amp;&amp;space;2\\\\&amp;space;2&amp;space;&amp;&amp;space;-1&amp;space;\\end{bmatrix}\" alt=\"\\begin{bmatrix} -3 &amp; 2\\\\ 2 &amp; -1 \\end{bmatrix}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\begin{bmatrix}&amp;space;3&amp;space;&amp;&amp;space;2\\\\&amp;space;2&amp;space;&amp;&amp;space;1&amp;space;\\end{bmatrix}\" alt=\"\\begin{bmatrix} 3 &amp; 2\\\\ 2 &amp; 1 \\end{bmatrix}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(C) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\begin{bmatrix}&amp;space;1&amp;space;&amp;&amp;space;2\\\\&amp;space;2&amp;space;&amp;&amp;space;3&amp;space;\\end{bmatrix}\" alt=\"\\begin{bmatrix} 1 &amp; 2\\\\ 2 &amp; 3 \\end{bmatrix}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(D) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\begin{bmatrix}&amp;space;3&amp;space;&amp;&amp;space;-2\\\\&amp;space;-2&amp;space;&amp;&amp;space;1&amp;space;\\end{bmatrix}\" alt=\"\\begin{bmatrix} 3 &amp; -2\\\\ -2 &amp; 1 \\end{bmatrix}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">82. The value of determinant <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\begin{vmatrix}&amp;space;5^2&amp;space;&amp;&amp;space;5^3&amp;space;&amp;&amp;space;5^4\\\\&amp;space;5^3&amp;space;&amp;&amp;space;5^4&amp;space;&amp;&amp;space;5^5\\\\&amp;space;5^4&amp;space;&amp;&amp;space;5^5&amp;space;&amp;&amp;space;5^6&amp;space;\\end{vmatrix}}\" alt=\"\\mathbf{\\begin{vmatrix} 5^2 &amp; 5^3 &amp; 5^4\\\\ 5^3 &amp; 5^4 &amp; 5^5\\\\ 5^4 &amp; 5^5 &amp; 5^6 \\end{vmatrix}}\" align=\"absmiddle\" \/> will be <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 5<sup>2 <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 5<sup>9 <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 0 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 5<sup>13<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">83. The median of a given frequency distribution can be found graphically with the help of: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Histogram <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Frequency curve <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Frequency polygon <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Ogive<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">84. Which of the following Diode is used as a voltage regulator? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Photo Diode <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Light Emitting Diode <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Solar cell <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Zener Diode<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">85. If in Young&#8217;s Double Slit Experiment, the distance between the two slits is doubled and the distance between the slit and screen is also doubled, then the fringe width will become : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Remained same <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Double <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Four times <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Half<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">86. Which of the following remains constant in a simple harmonic motion? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Restoring force <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Acceleration <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Displacement <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Mechanical energy<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">87. If Z is a complex number then: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) |Z<sup>2<\/sup>| &gt; |Z| <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) [Z<sup>2<\/sup>] = |Z<sup>2<\/sup>| <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) |Z| &lt; |Z|<sup>2 <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) |Z<sup>2<\/sup>| \u2265 |Z|<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">88. In summer, when the valve of a bicycle tube is removed, the escaping air appears cold because<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Isothermal expansion <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Adiabatic expansion <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Isothermal compression <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Adiabatic compression<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">89. In an open organ pipe, there may be <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) only odd harmonics <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) only even harmonics <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) even and odd harmonics <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">90. If the mass of a solid sphere is M and its radius is R, then the moment of inertia of the tangent parallel to the diameter on the surface of that sphere will be: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{2}{5}MR^2\" alt=\"\\frac{2}{5}MR^2\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><br \/>\n(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{7}{5}MR^2\" alt=\"\\frac{7}{5}MR^2\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><br \/>\n(C) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{5}MR^2\" alt=\"\\frac{3}{5}MR^2\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><br \/>\n(D) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3}{2}MR^2\" alt=\"\\frac{3}{2}MR^2\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">91. A = [aij]<sub>m x n<\/sub> will be a square matrix, if: <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) m &lt; n<br \/>\n(B) m &gt; n<br \/>\n(C) m = n<br \/>\n(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">92. The amount and nature of charge on conductor having 1500 excess of electrons will be : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 1.6 x 10<sup>-19<\/sup>, positive charge <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 1500 coulomb, negative charge <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 2.4 x 10<sup>-16<\/sup> coulomb, positive charge <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 2.4 x 10<sup>-16<\/sup> coulomb, negative charge<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">93. If f : R\u2192 R be defined by f(x) = 3x<sup>2<\/sup> &#8211; 5 and g : R\u2192 R by g(x) = x\/(x<sup>2<\/sup> +1), then gof is :<br \/>\n<\/span><\/strong>(A) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x^2&amp;space;-&amp;space;5}{9x^4&amp;space;-&amp;space;30x^2&amp;space;+&amp;space;26}\" alt=\"\\frac{3x^2 - 5}{9x^4 - 30x^2 + 26}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x^2&amp;space;-&amp;space;5}{9x^4&amp;space;-&amp;space;6x^2&amp;space;+&amp;space;26}\" alt=\"\\frac{3x^2 - 5}{9x^4 - 6x^2 + 26}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(C) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x^2}{x^4&amp;space;+&amp;space;2x^2&amp;space;+&amp;space;4}\" alt=\"\\frac{3x^2}{x^4 + 2x^2 + 4}\" align=\"absmiddle\" \/><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\">(D) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\frac{3x^2}{9x^4&amp;space;+&amp;space;30x^2&amp;space;-2}\" alt=\"\\frac{3x^2}{9x^4 + 30x^2 -2}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (A)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">94. The probability that an ordinary year has 53 Mondays is:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 2\/7 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 1\/7 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 7\/52<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 7\/53<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">95. If <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{A}}\" alt=\"\\mathbf{\\vec{A}}\" align=\"absmiddle\" \/> and <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\vec{B}}\" alt=\"\\mathbf{\\vec{B}}\" align=\"absmiddle\" \/> are two vectors, then which of the following statement is not true. <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\vec{A}+\\vec{B}=\\vec{B}+\\vec{A}\" alt=\"\\vec{A}+\\vec{B}=\\vec{B}+\\vec{A}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\vec{A}.\\vec{B}=\\vec{B}.\\vec{A}\" alt=\"\\vec{A}.\\vec{B}=\\vec{B}.\\vec{A}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\vec{A}\\times&amp;space;\\vec{B}&amp;space;=&amp;space;\\vec{B}\\times\\vec{A}\" alt=\"\\vec{A}\\times \\vec{B} = \\vec{B}\\times\\vec{A}\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\vec{A}-\\vec{B}=&amp;space;-(\\vec{B}-\\vec{A})\" alt=\"\\vec{A}-\\vec{B}= -(\\vec{B}-\\vec{A})\" align=\"absmiddle\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">96. Moving from equator to poles, the value of acceleration due to gravity (g): <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Not changed <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Decreases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Increases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Decreases upto 45\u00b0 latitude<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">97. On increasing the mass of the particle, the value of de-Broglie wavelength is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) increases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) remains unchanged <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) decreases <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) none of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (C)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">98. The fluid rises in the capillary tube if angle of contact is : <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) obtuse angle \u03b8 &gt; 90\u00b0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) acute angle \u03b8 &lt; 90\u00b0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) \u03b8 = 90\u00b0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) \u03b8 = 180\u00b0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">99. The velocity at the highest point of projectile will be:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) u cos \u03b8 \/g<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) u cos \u03b8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) u sin \u03b8 \/g <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; (B)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">100. The number of terms in the expansion of (1 + 3x + 3x<sup>2<\/sup> + x<sup>3<\/sup>)<sup>20<\/sup> will be:<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 61 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 60 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 52 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of the above<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><div style=\"margin: auto; width: 100%; \"><h3 class='azc_tsh_toggle' style='border: #FFFFFF; background-color: #FFFFFF; background-image: none !important; padding-left: 10px; '><a href='#' style='color: #f98f0b; '>Click To Show Answer\/Hide<\/a><\/h3><div class='azc_tsh_toggle_container' style='border: #FFFFFF; background-color: #FFFFFF; color: #D40202; font-size: 18px; '>Answer &#8211; 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#000000; font-family: georgia, palatino, serif; font-size: 14pt;\">Uttar Pradesh Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/td>\n<td style=\"width: 26.2424%; text-align: left; height: 28px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/uttar-pradesh-study-material\/\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/strong><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24.5px;\">\n<td style=\"width: 73.7576%; height: 24px; text-align: left;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\">Uttarakhand Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/td>\n<td style=\"width: 26.2424%; height: 24px; text-align: left;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/uttarakhand-study-material\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; height: 28px; text-align: left;\"><span style=\"font-size: 14pt; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Uttarakhand Study Material in English Language<\/span><span style=\"color: #000000;\"><br \/>\n<\/span><\/span><\/td>\n<td style=\"width: 26.2424%; height: 28px; text-align: left;\"><span style=\"font-size: 14pt; font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ukgk\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong>\u00a0<\/a><\/span><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; height: 28px; text-align: left;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\">Biology Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/td>\n<td style=\"width: 26.2424%; height: 28px; text-align: left;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/biology-notes-in-hindi\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 73.7576%; height: 24px; text-align: left;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">Computer <span style=\"color: #000000; font-size: 14pt;\">Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/span><\/td>\n<td style=\"width: 26.2424%; height: 24px; text-align: left;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/computer-study-materials\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 73.7576%; height: 24px; text-align: left;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">Geography <span style=\"color: #000000; font-size: 14pt;\">Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/span><\/td>\n<td style=\"width: 26.2424%; height: 24px; text-align: left;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/geography-notes\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">Hindi <span style=\"color: #000000; font-size: 14pt;\">Study Material\u00a0<\/span><\/span><\/td>\n<td style=\"width: 26.2424%; text-align: left; height: 28px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/hindi-notes\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">Modern India History <span style=\"color: #000000; font-size: 14pt;\">Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/span><\/td>\n<td style=\"width: 26.2424%; text-align: left; height: 28px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/history-of-modern-india\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">Medieval India History <span style=\"color: #000000; font-size: 14pt;\">Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/span><\/td>\n<td style=\"width: 26.2424%; text-align: left; height: 28px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/history-of-medieval-india\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">Indian Polity <span style=\"color: #000000; font-size: 14pt;\">Study Material in Hindi Language (\u0939\u093f\u0902\u0926\u0940 \u092d\u093e\u0937\u093e \u092e\u0947\u0902)\u00a0<\/span><\/span><\/td>\n<td style=\"width: 26.2424%; text-align: left; height: 28px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/political-science\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">Solved Papers\u00a0<\/span><\/td>\n<td style=\"width: 26.2424%; text-align: left; height: 28px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/solved-papers\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 73.7576%; text-align: left; height: 28px;\"><span style=\"font-size: 14pt; color: #000000; font-family: georgia, palatino, serif;\">MCQ in English\u00a0<\/span><\/td>\n<td style=\"width: 26.2424%; text-align: left; height: 28px;\"><span style=\"color: #000000; font-family: georgia, palatino, serif; font-size: 14pt;\"><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/mcq\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"ays-arp-under-posts-container ays-arp-grid-layout \" id=\"ays-arp-under-posts-container-740-69d33a249de13\"  data-id=\"69d33a249de13\" data-ratio=\"1\"><h2 class=\"ays-arp-under-posts-container-title\">Related Posts<\/h2><input type=\"hidden\" name=\"ays-arp-id-69d33a249de13\" value=\"740\"><div class=\"ays-arp-under-posts\"><div class=\"ays-arp-under-post\"><div class=\"ays-arp-under-post-header\"><div class=\"ays-arp-under-post-img-row\"><a href=\"https:\/\/theexampillar.com\/ukgk\/ukpsc-uksssc-daily-mcq-uttarakhand-12-november-2025\/\" 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Uttarakhand Police Head Constable &#8211; Telecommunication Exam Paper with Official\u00a0Answer Key available here &#8211;\u00a0 Post \u2014 Uttarakhand Police Head Constable &#8211; Telecommunication Organization \u2014 Uttarakhand Police Exam Date \u2014 31 July, 2022\u00a0 Total Question \u2014 100 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":741,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[60],"tags":[207,208,209],"class_list":["post-740","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uksssc","tag-uk-police-head-constable-exam-paper-2022","tag-uksssc-police-constable-exam-2022-answer-key","tag-uttarakhand-police-head-constable-exam-2022-answer-key"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>UKSSSC Police Head Constable (Mukhya Aarakshi) Telecommunication Exam 31 July 2022 (Official Answer Key) | TheExamPillar -Uttarakhand<\/title>\n<meta name=\"description\" content=\"Uttarakhand Subordinate Service Selection Commission (UKSSSC) Conducted the Uttarakhand Police Head Constable - Telecommunication Exam on 31 July, 2022. 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