{"id":351,"date":"2021-11-26T23:56:41","date_gmt":"2021-11-26T18:26:41","guid":{"rendered":"https:\/\/theexampillar.com\/ukgk\/?p=351"},"modified":"2021-12-03T11:53:28","modified_gmt":"2021-12-03T06:23:28","slug":"utet-exam-26-nov-2021-paper-1-mathematics-answer-key","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ukgk\/utet-exam-26-nov-2021-paper-1-mathematics-answer-key\/","title":{"rendered":"UTET Exam 26 Nov 2021 Paper \u2013 1 (Mathematics) (Official Answer Key)"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UBSE (Uttarakhand Board of School Education) Conduct the UTET (Uttarakhand Teachers Eligibility Test) 2021 Exam held on 26 November 2021. Here UTET Paper 1 &#8211; Mathematics Subject Paper with Official Answer Key.<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000; font-size: 14pt;\"><b>UTET (Uttarakhand Teachers Eligibility Test) Primary Level<br \/>\n<\/b><\/span><span style=\"color: #000000; font-size: 14pt;\"><b>(Class 1 to Class 5)<\/b><\/span><\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Exam :\u2212 <\/strong>\u00a0UTET (Uttarakhand Teachers Eligibility Test)<strong><br \/>\n<\/strong><strong>Part :\u2212 <\/strong>Mathematics<strong><br \/>\n<\/strong><b>Organized<\/b><\/span><b><span style=\"color: #000000;\"> by :<strong>\u2212<\/strong>\u00a0<\/span><a href=\"http:\/\/ubse.uk.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"color: #0000ff;\">UBSE<\/span><\/a><\/b><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Number of Question :\u2212<\/strong> 30<br \/>\n<\/span><span style=\"color: #000000;\"><strong>SET &#8211;<\/strong> <\/span>A<\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Exam Date :\u2013 <\/strong>26<sup>th<\/sup> November 2021<\/span><\/p>\n<h2 style=\"text-align: center;\"><span style=\"color: #ff0000; font-family: georgia, palatino, serif;\"><strong>UTET 26 Nov 2021 (Primary Level)<\/strong><\/span><\/h2>\n<table style=\"width: 100%; height: 244px;\" border=\"1\">\n<tbody>\n<tr style=\"height: 28px;\">\n<td style=\"text-align: center; width: 79.2727%; height: 28px;\"><span style=\"font-size: 14pt; color: #ff0000; font-family: georgia, palatino, serif;\"><strong>UTET Primary Level Paper Official Answer Key<\/strong><\/span><\/td>\n<td style=\"text-align: center; width: 19.7576%; height: 28px;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>Link<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">\u092c\u093e\u0932 \u0935\u093f\u0915\u093e\u0938 \u090f\u0935\u0902 \u0936\u093f\u0915\u094d\u0937\u0923 \u0935\u093f\u091c\u094d\u091e\u093e\u0928<\/span><\/span>)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/utet-exam-26-nov-2021-paper-1-cdp-answer-key\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (Child Development and Pedagogy)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ukgk\/utet-exam-26-nov-2021-paper-1-cdp-answer-key\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (Language &#8211; I : Hindi)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/utet-exam-26-nov-2021-paper-1-language-1-hindi-answer-key\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (Language &#8211; II : Hindi)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/utet-exam-26-nov-2021-paper-1-language-2-hindi-answer-key\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (Language &#8211; II : Sanskrit)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/utet-exam-26-nov-2021-paper-1-language-2-sanskrit-answer-key\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (Language &#8211; I : English)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><a href=\"https:\/\/theexampillar.com\/ukgk\/utet-exam-26-nov-2021-paper-1-language-1-english-answer-key\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong>Click Here<\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (Language &#8211; II : English)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><a href=\"https:\/\/theexampillar.com\/ukgk\/utet-exam-26-nov-2021-paper-1-language-2-english-answer-key\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong>Click Here<\/strong><\/span><\/a><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam <span style=\"font-family: georgia, palatino, serif;\">26 Nov <\/span>2021 &#8211; Paper &#8211; 1 (<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">\u0917\u0923\u093f\u0924 <\/span><\/span>)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/utet-exam-26-nov-2021-paper-1-mathematics-answer-key\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 79.2727%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam <span style=\"font-family: georgia, palatino, serif;\">26 Nov <\/span>2021 &#8211; Paper &#8211; 1 (Mathematics)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ukgk\/utet-exam-26-nov-2021-paper-1-mathematics-answer-key\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"width: 79.2727%; height: 24px;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (<span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">\u092a\u0930\u094d\u092f\u093e\u0935\u0930\u0923 \u0905\u0927\u094d\u092f\u092f\u0928<\/span><\/span>)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center; height: 24px;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/utet-exam-26-nov-2021-paper-1-evs-answer-key\/\" target=\"_blank\" rel=\"noopener\"><strong>Click Here<\/strong><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 79.2727%;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">UTET Exam 26 Nov 2021 &#8211; Paper &#8211; 1 (Environmental Studies)\u00a0<\/span><\/td>\n<td style=\"width: 19.7576%; text-align: center;\"><span style=\"color: #0000ff; font-family: georgia, palatino, serif;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ukgk\/utet-exam-26-nov-2021-paper-1-evs-answer-key\/\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"font-size: 18pt;\"><strong><span style=\"color: #000000;\">UTET Exam 2021 Paper &#8211; 1 (Primary Level)<br \/>\n<\/span><\/strong><span style=\"color: #000000;\"><strong>Mathematics<br \/>\n(Official\u00a0<\/strong><\/span><\/span><span style=\"font-size: 18pt;\"><span style=\"color: #000000;\"><strong>Answer Key<\/strong><\/span><\/span><span style=\"font-size: 18pt;\"><span style=\"color: #000000;\"><strong>)<\/strong><\/span><\/span><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>91. If 2160 = 22<sup>a<\/sup> x 3<sup>b<\/sup> x 5<sup>c<\/sup>, then the value of 3<sup>a<\/sup> x 2<sup>-b<\/sup> x 5<sup>-c<\/sup> will be &#8211; <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 81\/40 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 37\/39 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 1\/2 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 0<\/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; color: #000000;\"><strong>92. If third Friday is on 16th of month then what will be the date of fourth Tuesday of that month? <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 27 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 29<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 20<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 22<\/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; color: #000000;\"><strong>93. If the length and breadth of a room is decreased by 10% and 20% respectively, while height is increased by 5%, then what percentage will be changes in the volume of the room? <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 24.4% <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 24.6% <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 24% <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 24.2%<\/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; color: #000000;\"><strong>94. If number 5132416p is divisible by 3, then which digit will come in place of p? <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 6 <\/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) 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; color: #000000;\"><strong>95. The value of <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-18637\" src=\"https:\/\/theexampillar.com\/wp-content\/uploads\/2021\/11\/UTET-Exam-26-Nov-2021-Paper-I-Que-95.jpg\" alt=\"UTET Exam 26 Nov 2021 Paper \u2013 1 (Maths) (Answer Key)\" width=\"184\" height=\"41\" \/>will be &#8211; <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 14 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 12 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 16<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 13<\/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; color: #000000;\"><strong>96. When the number 398 is divided by 5, then the remainder is &#8211; <\/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; (D)<\/div><\/div><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>97. In how many hours, the number of seconds is equal to the number of minutes in 10 days &#8211; <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 2 hours <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 3 hours <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 4 hours <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 5 hours<\/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; color: #000000;\"><strong>98. If <\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-18636\" src=\"https:\/\/theexampillar.com\/wp-content\/uploads\/2021\/11\/UTET-Exam-26-Nov-2021-Paper-I-Que-98.jpg\" alt=\"UTET Exam 26 Nov 2021 Paper \u2013 1 (Maths) (Answer Key)\" width=\"170\" height=\"91\" \/><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>then the value of x and y are &#8211; <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) x = 9; y = 3 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) x = 3; y = 9 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) x = 5; y = 8 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) x = 4; y = 8<\/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; color: #000000;\"><strong>99. The square root of (7 + 2\u221a6) is &#8211; <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) \u221a6 + 1 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) \u221a3 + 2 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(c) \u221a2 + \u221a5 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 2 + \u221a5<\/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; color: #000000;\"><strong>100. The volume of a cube is 64 cm. The total surface area of the cube will be<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 12 cm<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(8) 24 cm<sup>2<\/sup> <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 48 cm<sup>2<\/sup> <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 96 cm<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; color: #000000;\"><strong>101. A right angled triangle cannot be &#8211; <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) An equilateral triangle <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) An isosceles triangle <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) A scalene triangle <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) A polygon<\/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; color: #000000;\"><strong>102. The greatest five digit perfect square number is &#8211; <\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 99999 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 99976 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 99856 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 99764<\/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; color: #000000;\"><strong>103. The value of<\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-18635\" src=\"https:\/\/theexampillar.com\/wp-content\/uploads\/2021\/11\/UTET-Exam-26-Nov-2021-Paper-I-Que-103.jpg\" alt=\"UTET Exam 26 Nov 2021 Paper \u2013 1 (Maths) (Answer Key)\" width=\"235\" height=\"64\" \/> will be &#8211;\u00a0<\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 21\/10<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 17\/10 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 8\/10<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 12\/10<\/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;\">104. How many natural numbers lie between 3 and 200 which are divisible by 7?<\/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) 28 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 29 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 30<\/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;\">105. If HCF (a, 8) = 4 and LCM (a, 8) = 24, then the value of \u2018a\u2019 is &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 14 <\/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) 10 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 12<\/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;\">106. In a circular park of diameter 80m, there is a square shaped playground of maximum area. The area of the playground is &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 6400 m<sup>2 <\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 3200 m<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 1600 m<sup>2<\/sup><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 12800 m<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;\">107. The method in which new rules are established by examples is &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Deductive Method <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Inductive Method <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Analytical Method <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Synthesis Method<\/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;\">108. The oldest branch of Mathematics is &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Algebra <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Arithmetic <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Geometry <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Astrology Math<\/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;\">109. What is the importance of Mathematics at Primary level? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Cultural <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Social <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Religious <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Mental<\/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;\">110. According to Hogben &#8211; \u201cMathematics is the mirror of Civilization.\u201d This statement corresponds to which value of Mathematics? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Cultural Value <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Social Value <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Disciplinary Value <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of these<\/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;\">111. If x:y = 1:2, then the value of (8x + 9y) : (8x + 2y) will be &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 22 : 29<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 29 : 22 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 13 : 6 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 6 : 13<\/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;\">112. If a metallic cone of radius 30 cm and height 45 cm is melted and recast into metallic spheres of radius 5 cm, find the number of spheres &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 81 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 41 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 80 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 40<\/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;\">113. A work can be completed by P and Q in 12 days, Q and R in 15 days &amp; R and P in 20 days. In how many days P alone can finish the work? <\/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) 20 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 30<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 60<\/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;\">114. The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. Find the average marks of top 5 students &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 92 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 96 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 93 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 97 <\/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;\">115. What is the major problem found in primary level teacher of mathematics? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Lack of pedagogical training <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Lack of preparation <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Busyness in record maintenance <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) None of these<\/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;\">116. Which of the following method is based on principles of \u201cWatch, listen and learn\u201d?<\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) Laboratory Method <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) Demonstration Method <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) Lecture Method <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) Research Method<\/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;\">117. If x + y= 2a, then the value of a\/(x &#8211; a) + a\/(y &#8211; a) is &#8211; <\/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) 2a<sup>2 <\/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) 2a<\/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;\">118. Zinc and Copper are in the ratio 5:3 in 400 gm. of an alloy. How much of copper (in gms) should be added to make the ratio 5 : 6? <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 50 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 150 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 550 <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 300<\/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;\">119. If 1 is subtracted to both the numerator and the denominator of a fraction, it becomes 1\/3. If 1 is added to both the numerator and denominator of that fraction, it becomes 1\/2. Then the sum of numerator and denominator of that fraction is &#8211; <\/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) 18 <\/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) 16<\/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;\">120. A car can finish a certain journey in 10 hours at speed of 48 km\/h. In order to cover the same distance in 8 hours, the speed of the car must be increased by &#8211; <\/span><\/strong><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(A) 6 Km\/h <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(B) 12 km\/h <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(C) 15 Km\/h <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">(D) 60 Km\/h<\/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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Here UTET Paper 1 &#8211; Mathematics Subject Paper with Official Answer Key. UTET (Uttarakhand Teachers Eligibility Test) Primary Level (Class 1 to Class 5) Exam :\u2212 \u00a0UTET (Uttarakhand Teachers Eligibility Test) Part :\u2212 Mathematics Organized [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":352,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[128],"tags":[129,130,131,132,136,134,135],"class_list":["post-351","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-utet","tag-utet-2021-answer-key","tag-utet-2021-answerkey","tag-utet-2021-paper-1-answer-kay","tag-utet-2021-paper-1-answer-key","tag-utet-exam-paper-in-english","tag-utet-previous-years-paper","tag-utet-solved-paper"],"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>UTET Exam 26 Nov 2021 Paper \u2013 1 (Mathematics) (Official Answer Key) | TheExamPillar -Uttarakhand<\/title>\n<meta name=\"description\" content=\"UBSE (Uttarakhand Board of School Education) Conduct the UTET (Uttarakhand Teachers Eligibility Test) 2021 Exam held on 26 November 2021. 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