{"id":57,"date":"2022-08-07T12:18:47","date_gmt":"2022-08-07T12:18:47","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=57"},"modified":"2024-02-21T05:58:20","modified_gmt":"2024-02-21T05:58:20","slug":"ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-4","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-3-playing-with-numbers-ex-3-4\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 3 Playing with Numbers Ex 3.4"},"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 3.4 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-3-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 3.5<\/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; 3.4<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Find the common factors of:<br \/>\n<\/strong>(a) 20 and 28<br \/>\n(b) 15 and 25<br \/>\n(c) 35 and 50<br \/>\n(d) 56 and 120<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(a) 20 and 28<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">1, 2, 4, 5, 10 and 20 are factors of 20<br \/>\n<\/span><span style=\"color: #000000;\">1, 2, 4, 7, 14 and 28 are factors of 28<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 2, 4<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(b) 15 and 25<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">1, 3, 5 and 15 are factors of 15<br \/>\n<\/span><span style=\"color: #000000;\">1, 5 and 25 are factors of 25<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 5<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(c) 35 and 50<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">1, 5, 7 and 35 are factors of 35<br \/>\n<\/span><span style=\"color: #000000;\">1, 2, 5, 10, 25 and 50 are factors of 50<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 5<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(d) 56 and 120<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">1, 2, 4, 7, 8, 14, 28 and 56 are factors of 56<br \/>\n<\/span><span style=\"color: #000000;\">1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120 are factors of 120<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 2, 4, 8<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>2. Find the common factors of:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">(a) 4, 8 and 12<br \/>\n<\/span><span style=\"color: #000000;\">(b) 5, 15 and 25<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(a)\u00a04, 8 and 12<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">1, 2, 4 are factors of 4<br \/>\n<\/span><span style=\"color: #000000;\">1, 2, 4, 8 are factors of 8<br \/>\n<\/span><span style=\"color: #000000;\">1, 2, 3, 4, 6, 12 are factors of 12<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 2, 4<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(b) 5, 15 and 25<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">1, 5 are factors of 5<br \/>\n<\/span><span style=\"color: #000000;\">1, 3, 5, 15 are factors of 15<br \/>\n<\/span><span style=\"color: #000000;\">1, 5, 25 are factors of 25<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 5<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>3. Find first three common multiples of:<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">(a) 6 and 8<br \/>\n<\/span><span style=\"color: #000000;\">(b) 12 and 18<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(a) 6 and 8<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">6, 12, 18, 24, 30 are multiples of 6<br \/>\n<\/span><span style=\"color: #000000;\">8, 16, 24, 32 are multiples of 8<br \/>\n<\/span><span style=\"color: #000000;\">Three common multiples are 24, 48, 72<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(b) 12 and 18<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">12, 24, 36, 48 are multiples of 12<br \/>\n<\/span><span style=\"color: #000000;\">18, 36, 54, 72 are multiples of 18<br \/>\n<\/span><span style=\"color: #000000;\">Three common factors are 36, 72, 108<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>4. Write all the numbers less than 100 which are common multiples of 3 and 4.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Multiples of 3 are 3, 6, 9, 12, 15<br \/>\n<\/span><span style=\"color: #000000;\">Multiples of 4 are 4, 8, 12, 16, 20<br \/>\n<\/span><span style=\"color: #000000;\">Common multiples are 12, 24, 36, 48, 60, 72, 84 and 96<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>5. Which of the following numbers are co-prime?<br \/>\n<\/strong><\/span><span style=\"color: #000000;\">(a) 18 and 35<br \/>\n<\/span><span style=\"color: #000000;\">(b) 15 and 37<br \/>\n<\/span><span style=\"color: #000000;\">(c) 30 and 415<br \/>\n<\/span><span style=\"color: #000000;\">(d) 17 and 68<br \/>\n<\/span><span style=\"color: #000000;\">(e) 216 and 215<br \/>\n<\/span><span style=\"color: #000000;\">(f) 81 and 16<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>(a) 18 and 35<\/strong><br \/>\n<\/span><span style=\"color: #000000;\">Factors of 18 are 1, 2, 3, 6, 9, 18<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 35 are 1, 5, 7, 35<br \/>\n<\/span><span style=\"color: #000000;\">Common factor = 1<br \/>\n<\/span><span style=\"color: #000000;\">Since, their common factor is 1. Hence, the given two numbers are co-prime<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(b) 15 and 37<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">Factors of 15 are 1, 3, 5, 15<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 37 are 1, 37<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1<br \/>\n<\/span><span style=\"color: #000000;\">Since, their common factor is 1. Hence, the given two numbers are co-prime<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(c) 30 and 415<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 415 are 1, 5, 83, 415<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 5<br \/>\n<\/span><span style=\"color: #000000;\">Since, their common factor is other than 1. Hence, the given two numbers are not co-prime<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(d) 17 and 68<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">Factors of 17 are 1, 17<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 68 are 1, 2, 4, 17, 34, 68<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1, 17<br \/>\n<\/span><span style=\"color: #000000;\">Since, their common factor is other than 1. Hence, the given two numbers are not co-prime<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(e) 216 and 215<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">Factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 215 are 1, 5, 43, 215<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1<br \/>\n<\/span><span style=\"color: #000000;\">Since, their common factor is 1. Hence, the given two numbers are co-prime<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">(f) 81 and 16<br \/>\n<\/span><\/strong><span style=\"color: #000000;\">Factors of 81 are 1, 3, 9, 27, 81<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 16 are 1, 2, 4, 8, 16<br \/>\n<\/span><span style=\"color: #000000;\">Common factors = 1<br \/>\n<\/span><span style=\"color: #000000;\">Since, their common factor is 1. Hence, the given two numbers are co-prime<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>6. A number is divisible by both 5 and 12. By which other number will that number be always divisible?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Factors of 5 are 1, 5<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 12 are 1, 2, 3, 4, 6, 12<br \/>\n<\/span><span style=\"color: #000000;\">Their common factor = 1<br \/>\n<\/span><span style=\"color: #000000;\">Since, their common factor is 1. The given two numbers are co-prime and is also divisible by their product 60.<br \/>\n<\/span><span style=\"color: #000000;\">Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60<\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>7. A number is divisible by 12. By what other numbers will that number be divisible?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\">Since, the number is divisible by 12. Hence, it also divisible by its factors i.e 1, 2, 3, 4, 6, 12.<br \/>\n<\/span><span style=\"color: #000000;\">Therefore 1, 2, 3, 4, 6 are the numbers other than 12 by which this number is also divisible.<\/span><\/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 3.4 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-57","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 3.4 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 3 Playing with Numbers Exercise 3.4 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-3-4\/\" \/>\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 3.4\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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