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{"id":1874,"date":"2021-08-17T18:44:57","date_gmt":"2021-08-17T18:44:57","guid":{"rendered":"https:\/\/www.wikitechy.com\/interview-questions\/?p=1874"},"modified":"2021-09-13T09:34:03","modified_gmt":"2021-09-13T09:34:03","slug":"a-number-is-divided-by-5-3-2-successively-in-order-to-get-remainders-of-0-2-1-respectively-what-will-be-the-remainder-when-the-same-number-is-divided-by-2-3-5-respectively","status":"publish","type":"post","link":"https:\/\/www.wikitechy.com\/interview-questions\/numbers\/a-number-is-divided-by-5-3-2-successively-in-order-to-get-remainders-of-0-2-1-respectively-what-will-be-the-remainder-when-the-same-number-is-divided-by-2-3-5-respectively\/","title":{"rendered":"A number is divided by 5, 3, 2 successively in order to get remainders of 0, 2, 1 respectively. What will be the remainder when the same number is divided by 2, 3, 5 respectively ?"},"content":{"rendered":"<div class=\"TextHeading\">\n<div class=\"hddn\">\n<p class=\"color-pink\">A number is divided by 5, 3, 2 successively in order to get remainders of 0, 2, 1 respectively. What will be the remainder when the same number is divided by 2, 3, 5 respectively ?<\/p>\n<div class=\"row\">\n<div class=\"col-sm-6\">\n<p>A. 4, 3, 2<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>B. 1, 0, 4<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>C. 2, 1, 3<\/p>\n<\/div>\n<div class=\"col-sm-6\">\n<p>D. 4, 1, 2<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<h3 id=\"answer-b-1-0-4\"><b>Answer :\u00a0<\/b>B. 1, 0, 4&#8230;<\/h3>\n<div class=\"subheading\">\n<h2 id=\"explanation\">Explanation:<\/h2>\n<\/div>\n<div class=\"Content\">\n<div class=\"hddn\">\n<p align=\"justify\">Let the number = N.<br \/>\nNow N = 5K<br \/>\nK = 3L + 2<br \/>\nL = 2M + 1<br \/>\nK = 3 (2M + 1) + 2<br \/>\n= 6M + 5<br \/>\nN = 5 (6M + 5)<br \/>\n= 30 M + 25.<\/p>\n<p>For M = 0 we get the least number as 25. Now when 25 is divided by 2, we get 12 as quotient and 1 as remainder.<br \/>\nWhen 12 is divided by 3 we get 4 as quotient, and 0 as remainder. When 4 is divided by 5 we get 4 as remainder.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Answer :\u00a0B. 1, 0, 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