{"id":4261,"date":"2016-05-06T11:49:00","date_gmt":"2016-05-06T11:49:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-playing-with-numbers-ex-3-4\/"},"modified":"2018-07-20T12:13:07","modified_gmt":"2018-07-20T06:43:07","slug":"ncert-solutions-class-6-maths-exercise-3-4","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/","title":{"rendered":"NCERT Solutions for Class 6 Maths Exercise 3.4"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#NCERT_Solutions_for_Class_6_Maths_Playing_with_numbers\" >NCERT Solutions for Class 6 Maths\u00a0Playing with numbers<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Class_%E2%80%93VI\" >Class \u2013VI<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Mathematics\" >Mathematics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Ex_34\" >(Ex. 3.4)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Question_1Find_the_common_factors_of\" >Question 1.Find the common factors of:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Question_2Find_the_common_factors_of\" >Question 2.Find the common factors of:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Question_3Find_the_first_three_common_multiples_of\" >Question 3.Find the first three common multiples of:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Question_4Write_all_the_numbers_less_than_100_which_are_common_multiples_of_3_and_4\" >Question 4.Write all the numbers less than 100 which are common multiples of 3 and 4.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Question_5Which_of_the_following_numbers_are_co-prime\" >Question 5.Which of the following numbers are co-prime:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Question_6A_number_is_divisible_by_both_5_and_12_By_which_other_number_will_that_number_be_always_divisible\" >Question 6.A number is divisible by both 5 and 12. By which other number will that number be always divisible?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#Question_7A_number_is_divisible_by_12_By_what_other_numbers_will_that_number_be_divisible_Answer_Factors_of_12_are_1_2_3_4_6_12\" >Question 7.A number is divisible by 12. By what other numbers will that number be divisible? Answer: Factors of 12 are 1, 2, 3, 4, 6, 12.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#NCERT_Solutions_for_Class_6_Maths_Exercise_34\" >NCERT Solutions for Class 6 Maths Exercise 3.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#NCERT_Solutions_for_Mathematics_Class_3rd_to_12th\" >NCERT Solutions for Mathematics Class 3rd to 12th<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/#CBSE_app_for_Students\" >CBSE app for Students<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 6 Maths Exercise 3.4 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 6 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Maths\u00a0Playing with numbers\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-06-mathematics-playing-with-numbers\/1615\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/06_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 6 Maths Exercise 3.4\" width=\"166\" height=\"193\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_6_Maths_Playing_with_numbers\"><\/span>NCERT Solutions for Class 6 Maths\u00a0Playing with numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VI\"><\/span><strong>Class \u2013VI <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Mathematics\"><\/span><strong>Mathematics <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Ex_34\"><\/span><strong>(Ex. 3.4)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"Question_1Find_the_common_factors_of\"><\/span><strong>Question<\/strong> 1.Find the common factors of:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a) 20 and 28<\/p>\n<p>(b) 15 and 25<\/p>\n<p>(c) 35 and 50<\/p>\n<p>(d) 56 and 120<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a) Factors of 20 = 1, 2, 4, 5, 10, 20<\/p>\n<p>Factors of 28 = 1, 2, 4, 7, 14, 28<\/p>\n<p>Common factors = 1, 2, 4<\/p>\n<p>(b) Factors of 15 = 1, 3, 5, 15<\/p>\n<p>Factors of 25 = 1, 5, 25<\/p>\n<p>Common factors = 1, 5<\/p>\n<p>(c) Factors of 35 = 1, 5, 7, 35<\/p>\n<p>Factors of 50 = 1, 2, 5, 10, 25, 50<\/p>\n<p>Common factors = 1, 5<\/p>\n<p>(d) Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56<\/p>\n<p>Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 60, 120<\/p>\n<p>Common factors = 1, 2, 4, 8<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"Question_2Find_the_common_factors_of\"><\/span><strong>Question<\/strong> 2.Find the common factors of:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a) 4, 8 and 12<\/p>\n<p>(b) 5, 15 and 25<\/p>\n<p><strong>Answer: <\/strong><\/p>\n<p>(a) Factors of 4 = 1, 2, 4<\/p>\n<p>Factors of 8 = 1, 2, 4, 8<\/p>\n<p>Factors of 12 = 1, 2, 3, 4, 6, 12<\/p>\n<p>Common factors of 4, 8 and 12 = 1, 2, 4<\/p>\n<p>(b) Factors of 5 = 1, 5<\/p>\n<p>Factors of 15 = 1, 3, 5, 15<\/p>\n<p>Factors of 25 = 1, 5, 25<\/p>\n<p>Common factors of 5, 15 and 25 = 1, 5<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 6 Maths Exercise 3.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_3Find_the_first_three_common_multiples_of\"><\/span><strong>Question<\/strong> 3.Find the first three common multiples of:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a) 6 and 8<\/p>\n<p>(b) 12 and 18<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a) Multiple of 6 = 6, 12, 18, 24, 30, 36, 42, 28, 54, 60, 72, \u2026\u2026\u2026\u2026<\/p>\n<p>Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026.<\/p>\n<p>Common multiples of 6 and 8 = 24, 48, 72<\/p>\n<p>(b) Multiple of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, \u2026\u2026\u2026<\/p>\n<p>Multiple of 18 = 18, 36, 54, 72, 90, 108, \u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026<\/p>\n<p>Common multiples of 12 and 18 = 36, 72, 108<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"Question_4Write_all_the_numbers_less_than_100_which_are_common_multiples_of_3_and_4\"><\/span><strong>Question<\/strong> 4.Write all the numbers less than 100 which are common multiples of 3 and 4.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong> Multiple of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66,<\/p>\n<p>69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99<\/p>\n<p>Multiple of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,<\/p>\n<p>92, 96, 100<\/p>\n<p>Common multiples of 3 and 4 = 12, 24, 36, 48, 60, 72, 84, 96<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 6 Maths Exercise 3.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_5Which_of_the_following_numbers_are_co-prime\"><\/span><strong>Question<\/strong> 5.Which of the following numbers are co-prime:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a) 18 and 35<\/p>\n<p>(b) 15 and 37<\/p>\n<p>(c) 30 and 415<\/p>\n<p>(d) 17 and 68<\/p>\n<p>(e) 216 and 215<\/p>\n<p>(f) 81 and 16<\/p>\n<p><strong>Answer:<\/strong> (a) Factors of 18 = 1, 2, 3, 6, 9, 18<\/p>\n<p>Factors of 35 = 1, 5, 7, 35<\/p>\n<p>Common factor = 1<\/p>\n<p>Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbe<\/p>\n<p>(b) Factors of 15 = 1, 3, 5, 15<\/p>\n<p>Factors of 37 = 1, 37<\/p>\n<p>Common factor = 1<\/p>\n<p>Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbe<\/p>\n<p>(c) Factors of 30 = 1, 2, 3, 5, 6, 15, 30<\/p>\n<p>Factors of 415 = 1, 5, \u2026\u2026.., 83, 415<\/p>\n<p>Common factor = 1, 5<\/p>\n<p>Since, both have more than one common factor, therefore, they are not co-prime numbe<\/p>\n<p>(d) Factors of 17 = 1, 17<\/p>\n<p>Factors of 68 = 1, 2, 4, 17, 34, 86<\/p>\n<p>Common factor = 1, 17<\/p>\n<p>Since, both have more than one common factor, therefore, they are not co-prime numbe<\/p>\n<p>(e) Factors of 216 = 1, 2, 3, 4, 6, 8, 36, 72, 108, 216<\/p>\n<p>Factors of 215 = 1, 5, 43, 215<\/p>\n<p>Common factor = 1<\/p>\n<p>Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbe<\/p>\n<p>(f) Factors of 81 = 1, 3, 9, 27, 81<\/p>\n<p>Factors of 16 = 1, 2, 4, 8, 16<\/p>\n<p>Common factor = 1<\/p>\n<p>Since, both have only one common factor, i.e., 1, therefore, they are co-prime number<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"Question_6A_number_is_divisible_by_both_5_and_12_By_which_other_number_will_that_number_be_always_divisible\"><\/span><strong>Question<\/strong> 6.A number is divisible by both 5 and 12. By which other number will that number be always divisible?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong> 5 x 12 = 60. The number must be divisible by 60.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 6 Maths Exercise 3.4<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_7A_number_is_divisible_by_12_By_what_other_numbers_will_that_number_be_divisible_Answer_Factors_of_12_are_1_2_3_4_6_12\"><\/span><strong>Question<\/strong> 7.A number is divisible by 12. By what other numbers will that number be divisible?<strong> Answer:<\/strong> Factors of 12 are 1, 2, 3, 4, 6, 12.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>Therefore, the number also be divisible by 1,2 ,3 4 and 6.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_6_Maths_Exercise_34\"><\/span>NCERT Solutions for Class 6 Maths Exercise 3.4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 6 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 6 Maths includes text book solutions from Class 6 Maths Book . NCERT Solutions for CBSE Class 6 Maths have total 14 chapters. 6 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 6 solutions PDF and Maths ncert class 6 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Mathematics_Class_3rd_to_12th\"><\/span>NCERT Solutions for Mathematics Class 3rd to 12th<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-12-mathematics\/\">NCERT Solutions for Class 12 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-mathematics\/\">NCERT Solutions for Class 11 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-10-maths\/\">NCERT Solutions for Class 10 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths\/\">NCERT Solutions for Class 9 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-mathematics\/\">NCERT Solutions for Class 8 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-mathematics\/\">NCERT Solutions for Class 7 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths\/\">NCERT Solutions for Class 6 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-5-mathematics\/\">NCERT Solutions for Class 5 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-4-mathematics\/\">NCERT Solutions for Class 4 Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-3-mathematics\/\">NCERT Solutions for Class 3 Mathematics<\/a><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Students\"><\/span>CBSE app for Students<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 6 Maths, Social Science Computer Science, Home Science, Hindi English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 6 Maths Exercise 3.4 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 6 Maths chapter wise &#8230; <a title=\"NCERT Solutions for Class 6 Maths Exercise 3.4\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-6-maths-exercise-3-4\/\" aria-label=\"More on NCERT Solutions for Class 6 Maths Exercise 3.4\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1395,281],"tags":[283,196,321,1485,216],"class_list":["post-4261","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-06","category-ncert-solutions","tag-cbse-study-material","tag-class-6","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 6 Maths Exercise 3.4 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 6 Maths Exercise 3.4 in PDF format for free download. 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