{"id":65,"date":"2022-08-07T12:18:55","date_gmt":"2022-08-07T12:18:55","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=65"},"modified":"2024-02-21T05:58:54","modified_gmt":"2024-02-21T05:58:54","slug":"ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 3 (Playing with Numbers)<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 6 Mathematics <strong>Chapter &#8211; 3 Playing with Numbers <\/strong>Exercise 3.5 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-3\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_3_Playing_with_Numbers\" style=\"color: #000000;\">Chapter 3: Playing with Numbers<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 3.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 3.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 3.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 3.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 3.6<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-7\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 3.7<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 3.5<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Which of the following statements are true?<br \/>\n<\/strong>(a) If a number is divisible by 3, it must be divisible by 9.<br \/>\n(b) If a number is divisible by 9, it must be divisible by 3.<br \/>\n(c) A number is divisible by 18, if it is divisible by both 3 and 6.<br \/>\n(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.<br \/>\n(e) If two numbers are co-primes, at least one of them must be prime.<br \/>\n(f) All numbers which are divisible by 4 must also be divisible by 8.<br \/>\n(g) All numbers which are divisible by 8 must also be divisible by 4.<br \/>\n(h) If a number exactly divides two numbers separately, it must exactly divide their sum.<br \/>\n(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) False. <\/strong><br \/>\n6 is divisible by 3 but is not divisible by 9.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) True.<\/strong><br \/>\nas 9 = 3 \u00d7 3. Hence, if a number is divisible by 9, it will also be divisible by 3.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) False.<\/strong><br \/>\nSince 30 is divisible by both 3 and 6 but is not divisible by 18.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) True<\/strong>.<br \/>\nas 9 \u00d7 10 = 90. Hence, if a number is divisible by both 9 and 10 then it is divisible by 90.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) False.<\/strong><br \/>\nSince 15 and 32 are co-primes and also composite numbers.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) False<\/strong>.<br \/>\nas 12 is divisible by 4 but is not divisible by 8.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) True<\/strong>.<br \/>\nas 2 \u00d7 4 = 8. Hence, if a number is divisible by 8, it will also be divisible by 2 and 4.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h) True<\/strong>.<br \/>\nas 2 divides 4 and 8 and it also divides 12 (4 + 8 = 12).<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) False<\/strong>.<br \/>\nsince, 2 divides 12 but it does not divide 7 and 5.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Here are two different factor trees for 60. Write the missing numbers.<br \/>\n<\/strong><strong>(a) <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-73\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg\" alt=\"NCERT Class 6 Math Solution\" width=\"352\" height=\"142\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg 416w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a-300x121.jpg 300w\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" \/><br \/>\n<\/strong><strong>(b)\u00a0<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-72\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2b.jpg\" alt=\"NCERT Class 6 Math Solution\" width=\"375\" height=\"168\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2b.jpg 413w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2b-300x134.jpg 300w\" sizes=\"auto, (max-width: 375px) 100vw, 375px\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-75\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a-Ans.jpg\" alt=\"\" width=\"416\" height=\"168\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a-Ans.jpg 416w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a-Ans-300x121.jpg 300w\" sizes=\"auto, (max-width: 416px) 100vw, 416px\" \/><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-74\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2b-Ans.jpg\" alt=\"\" width=\"413\" height=\"185\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2b-Ans.jpg 413w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2b-Ans-300x134.jpg 300w\" sizes=\"auto, (max-width: 413px) 100vw, 413px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Which factors are not included in the prime factorisation of a composite number?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">1 and the number itself are not included in the prime factorisation of a composite number.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Write the greatest 4-digit number and express it in terms of its prime factors.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The greatest four digit number is 9999<br \/>\nTherefore 9999 = 3 \u00d7 3 \u00d7 11 \u00d7 101<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-76 size-medium\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-Q4-300x168.png\" alt=\"NCERT Class 6 Math Solution\" width=\"300\" height=\"168\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-Q4-300x168.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-Q4-480x269.png 480w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-Q4.png 670w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>5. Write the smallest 5-digit number and express it in the form of its prime factors.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The smallest five digit number = 10000<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-77 size-medium\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5Q5-300x284.png\" alt=\"NCERT Class 6 Math Solution\" width=\"300\" height=\"284\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5Q5-300x284.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5Q5.png 476w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>6. Find all the prime factors of 1729 and arrange them in ascending order. Now state the relation, if any; between two consecutive prime factors.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-78\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-Q6.jpg\" alt=\"NCERT Class 6 Math Solution\" width=\"89\" height=\"107\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">1729 = 7 \u00d7 13 \u00d7 19<br \/>\n13 \u2013 7 = 6<br \/>\n19 \u2013 13 = 6<br \/>\nHence, the difference between two consecutive prime factors is 6.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>7. The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong>(i) 2 \u00d7 3 \u00d7 4 = 24 which is divisible by 6<br \/>\n(ii) 5 \u00d7 6 \u00d7 7 = 210 which is divisible by 6<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>8. The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<\/strong><br \/>\n(i)\u00a05 + 3 = 8 which is divisible by 4<br \/>\n(ii) 7 + 9 = 16 which is divisible by 4<br \/>\n(iii) 13 + 15 = 28 which is divisible by 4<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>9. In which of the following expressions, prime factorisation has been done?<br \/>\n<\/strong><strong>(a) 24 = 2 \u00d7 3 \u00d7 4<br \/>\n<\/strong><strong>(b) 56 = 7 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n<\/strong><strong>(c) 70 = 2 \u00d7 5 \u00d7 7<br \/>\n<\/strong><strong>(d) 54 = 2 \u00d7 3 \u00d7 9<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong><strong>(a)\u00a024 = 2 \u00d7 3 \u00d7 4<br \/>\n<\/strong>Since, 4 is composite. Hence, prime factorisation has not been done<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 56 = 7 \u00d7 2 \u00d7 2 \u00d7 2<br \/>\n<\/strong>Since, all the factors are prime. Hence, prime factorisation has been done<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 70 = 2 \u00d7 5 \u00d7 7<br \/>\n<\/strong>Since, all the factors are prime. Hence, prime factorisation has been done<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 54 = 2 \u00d7 3 \u00d7 9<br \/>\n<\/strong>Since, 9 is composite. Hence prime factorisation has not been done<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>10. Determine if 25110 is divisible by 45. [Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong>45 = 5 \u00d7 9<br \/>\n1, 5 are factors of 5<br \/>\n1, 3, 9 are factors of 9<br \/>\nHence, 5 and 9 are co-prime numbers<br \/>\nThe last digit of 25110 is 0.<br \/>\nHence, it is <strong>divisible by 5<\/strong><br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Sum of digits 25110<br \/>\n2 + 5 + 1 + 1 + 0 = 9<br \/>\nSince, the sum of digits of 25110 is divisible by 9.<br \/>\nHence, 25110 is <strong>divisible by 9<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Since the number is divisible by both 5 and 9.<br \/>\nTherefore 25110 is <strong>divisible by 45.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>11. 18 is divisible by both 2 and 3. It is also divisible by 2 \u00d7 3 = 6. Similarly, a number is divisible by both 4 and 6. Can we say that the number must also be divisible by 4 \u00d7 6 = 24? If not, give an example to justify your answer.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong>No, since, 12 and 36 are both divisible by 4 and 6. But 12 and 36 are not divisible by 24<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>12. I am the smallest number, having four different prime factors. Can you find me?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<\/strong>Since, it is the smallest number. Therefore it will be the product of 4 smallest prime numbers<br \/>\n2 \u00d7 3 \u00d7 5 \u00d7 7 = 210<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 3 (Playing with Numbers) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 3 Playing with Numbers Exercise 3.5 has been provided here to help the students in solving the questions from this exercise. Chapter 3: Playing with Numbers NCERT Solution Class 6 Maths Exercise [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[9,8,4,5],"class_list":["post-65","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-3-playing-with-numbers-in-english","tag-ncert-solutions-class-6-maths-chapter-3-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"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>NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 3 Playing with Numbers Exercise 3.5 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 3 Playing with Numbers Exercise 3.5 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/\" \/>\n<meta property=\"og:site_name\" content=\"TheExamPillar NCERT\" \/>\n<meta property=\"article:published_time\" content=\"2022-08-07T12:18:55+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-21T05:58:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg\" \/>\n<meta name=\"author\" content=\"Admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@exampillar\" \/>\n<meta name=\"twitter:site\" content=\"@exampillar\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/\"},\"author\":{\"name\":\"Admin\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"headline\":\"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5\",\"datePublished\":\"2022-08-07T12:18:55+00:00\",\"dateModified\":\"2024-02-21T05:58:54+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/\"},\"wordCount\":767,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"image\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/NCERT-Class-6-Math-Ex-3.5-2a.jpg\",\"keywords\":[\"Chapter 3 Playing with Numbers in English\",\"NCERT Solutions Class 6 Maths Chapter 3 in english\",\"NCERT Solutions Class 6 Maths in English\",\"NCERT Solutions in English\"],\"articleSection\":[\"Class 6 Maths\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/\",\"name\":\"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5 | TheExamPillar NCERT\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/NCERT-Class-6-Math-Ex-3.5-2a.jpg\",\"datePublished\":\"2022-08-07T12:18:55+00:00\",\"dateModified\":\"2024-02-21T05:58:54+00:00\",\"description\":\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 3 Playing with Numbers Exercise 3.5 has been provided here to help the students in solving the questions from this exercise.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#primaryimage\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/NCERT-Class-6-Math-Ex-3.5-2a.jpg\",\"contentUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/NCERT-Class-6-Math-Ex-3.5-2a.jpg\",\"width\":416,\"height\":168,\"caption\":\"NCERT Class 6 Math Solution\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#website\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/\",\"name\":\"TheExamPillar NCERT\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\"},\"alternateName\":\"NCERT Solution\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/#\\\/schema\\\/person\\\/521fbdbd2eb8621382a3096b5e3ecaf1\",\"name\":\"Admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"contentUrl\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\",\"width\":512,\"height\":512,\"caption\":\"Admin\"},\"logo\":{\"@id\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/wp-content\\\/uploads\\\/2022\\\/07\\\/cropped-ExamPillar-PNG.png\"},\"sameAs\":[\"https:\\\/\\\/theexampillar.com\\\/ncert\"],\"url\":\"https:\\\/\\\/theexampillar.com\\\/ncert\\\/author\\\/ncert_eng_vikram\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5 | TheExamPillar NCERT","description":"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 3 Playing with Numbers Exercise 3.5 has been provided here to help the students in solving the questions from this exercise.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/","og_locale":"en_US","og_type":"article","og_title":"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5","og_description":"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 3 Playing with Numbers Exercise 3.5 has been provided here to help the students in solving the questions from this exercise.","og_url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/","og_site_name":"TheExamPillar NCERT","article_published_time":"2022-08-07T12:18:55+00:00","article_modified_time":"2024-02-21T05:58:54+00:00","og_image":[{"url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg","type":"","width":"","height":""}],"author":"Admin","twitter_card":"summary_large_image","twitter_creator":"@exampillar","twitter_site":"@exampillar","twitter_misc":{"Written by":"Admin","Est. reading time":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#article","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/"},"author":{"name":"Admin","@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"headline":"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5","datePublished":"2022-08-07T12:18:55+00:00","dateModified":"2024-02-21T05:58:54+00:00","mainEntityOfPage":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/"},"wordCount":767,"commentCount":0,"publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"image":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#primaryimage"},"thumbnailUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg","keywords":["Chapter 3 Playing with Numbers in English","NCERT Solutions Class 6 Maths Chapter 3 in english","NCERT Solutions Class 6 Maths in English","NCERT Solutions in English"],"articleSection":["Class 6 Maths"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/","url":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/","name":"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5 | TheExamPillar NCERT","isPartOf":{"@id":"https:\/\/theexampillar.com\/ncert\/#website"},"primaryImageOfPage":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#primaryimage"},"image":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#primaryimage"},"thumbnailUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg","datePublished":"2022-08-07T12:18:55+00:00","dateModified":"2024-02-21T05:58:54+00:00","description":"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 3 Playing with Numbers Exercise 3.5 has been provided here to help the students in solving the questions from this exercise.","breadcrumb":{"@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#primaryimage","url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg","contentUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-3.5-2a.jpg","width":416,"height":168,"caption":"NCERT Class 6 Math Solution"},{"@type":"BreadcrumbList","@id":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-5\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/theexampillar.com\/ncert\/"},{"@type":"ListItem","position":2,"name":"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.5"}]},{"@type":"WebSite","@id":"https:\/\/theexampillar.com\/ncert\/#website","url":"https:\/\/theexampillar.com\/ncert\/","name":"TheExamPillar NCERT","description":"","publisher":{"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1"},"alternateName":"NCERT Solution","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/theexampillar.com\/ncert\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":["Person","Organization"],"@id":"https:\/\/theexampillar.com\/ncert\/#\/schema\/person\/521fbdbd2eb8621382a3096b5e3ecaf1","name":"Admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","url":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","contentUrl":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png","width":512,"height":512,"caption":"Admin"},"logo":{"@id":"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/cropped-ExamPillar-PNG.png"},"sameAs":["https:\/\/theexampillar.com\/ncert"],"url":"https:\/\/theexampillar.com\/ncert\/author\/ncert_eng_vikram\/"}]}},"_links":{"self":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/65","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/comments?post=65"}],"version-history":[{"count":6,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/65\/revisions"}],"predecessor-version":[{"id":7498,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/posts\/65\/revisions\/7498"}],"wp:attachment":[{"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/media?parent=65"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/categories?post=65"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theexampillar.com\/ncert\/wp-json\/wp\/v2\/tags?post=65"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}