# Exercise 2

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 Share the quiz to show your results ! Facebook Just tell us who you are to view your results ! HCF and LCM - Exercise 2 I got %%score%% of %%total%% right 
 /* JS debug. Use \$_GET['wpvq_js_debug'] to enable it. */ var wpvq_js_debug = false; var wpvq_ans89733 = {"a9374":{"297":"0","298":"0","299":"0","300":"1","301":"0","302":"1","303":"0","304":"0","305":"1","306":"0","307":"0","308":"0","309":"0","310":"0","311":"1","312":"0","313":"0","314":"0","315":"1","316":"0"},"ra98euef":{"77":{"ai0099":"300","e9878":"<p>Let the two numbers be N1 and N2.<\/p><p>Then, N1 : N2 = 3:4<\/p><p>i.e, N1 = 3x and N2 = 4x<\/p><p>Given, LCM(N1, N2) = 60<\/p><p>LCM(3x, 4x) = 60<\/p><p>12x = 60<\/p><p>x = 5<\/p><p>Hence, N1 = 3x5 = 15 and N2 = 4x5 = 20<\/p>"},"78":{"ai0099":"302","e9878":"<p>If the highest four digit number is divisible by 6, 15, 20 and 50, then it must be divisible by the LCM of 6, 15, 20, and 50.<\/p><p>LCM(6, 15, 20, 50) = 300<\/p><p>The highest four digit number is 9999.<\/p><p>9999 divided by 300 leaves 99 as remainder.<\/p><p>Subtracting 99 from 9999 gives 9900 which is divisible by the LCM(6, 15, 20, 50), which in turn implies that 9900 is the highest four digit number divisible by 6, 15, 20 and 50.<\/p>"},"79":{"ai0099":"305","e9878":"<p>In order solve this lets first find the LCM of 14, 35 and 77, which is 770.<\/p><p>That means 770 is the lowest number that gives a remainders 0 when divided by 14, 34 and 77.<\/p><p>Hence 770+5 =&gt; 775 is the lowest&nbsp;number that gives a remainder 5&nbsp;when divided by 14, 34 and 77.<\/p>"},"80":{"ai0099":"311","e9878":"<p>In the problem we see that the difference between the divisors&nbsp;and their respective remainders&nbsp;is same.<\/p><p>i.e&nbsp;5 - 2 = 8 - 5 = 16 - 13 = 3.<\/p><p>In this case, the smallest numbers is LCM(5, 8, 16) - 3 = 80 - 3 = 77.<\/p><p>Hence, 77 is the lowest number which leaves remainders 2, 5 and 13 when divided by 5, 8 and 16 respectively.<\/p>"},"81":{"ai0099":"315","e9878":"<p>Since A takes 20 seconds to complete a round, A will reach the starting in every multiple of 20 seconds, similarly B takes multiples of 30 seconds to complete a round. The time taken by A and B to meet again at the starting is given by the LCM of 20 and 30 seconds, which is 60 seconds.<\/p><p>Hence, A and B meet at the starting point after 60 seconds.<\/p>"}}}; /* Global var */ var wpvq_front_quiz = true; // useful for wpvq-front-results var quizName = "HCF and LCM - Exercise 2"; var quizId = 25; var totalCountQuestions = 5; var askEmail = false; var askNickname = false; var forceToShare = false; var wpvq_type = "WPVQGameTrueFalse"; var wpvq_hideRightWrong = false; var wpvq_refresh_page = false; var wpvq_force_continue_button = false; var wpvq_browser_page = 0; var wpvq_answersStatus = []; var wpvq_countQuestions = false; var wpvq_scroll_top_offset = 0; var wpvq_scroll_speed = 750; var wpvq_autoscroll_next_var = true; var wpvq_progressbar_content = 'percentage'; var wpvq_wait_trivia_page = 1000; var i18n_wpvq_needEmailAlert = "You have to give your e-mail to see your results."; var i18n_wpvq_needNicknameAlert = "You have to give your nickname to see your results."; var wpvq_checkMailFormat = true; var wpvq_local_caption = 'I got %%score%% of 5 right'; var wpvq_refresh_url = '//www.justquant.com/lesson/hcf-and-lcm/exercise-2/?wpvqas=%%wpvqas%%'; var wpvq_share_url = 'https://www.justquant.com/lesson/hcf-and-lcm/exercise-2/'; var wpvq_facebook_caption = 'I got %%score%% of 5 right, and you ?'; var wpvq_facebook_description = '%%details%%'; var wpvq_facebook_picture = null; var wpvq_redirection_page = '';