{"id":166665,"date":"2024-04-09T12:15:27","date_gmt":"2024-04-09T06:45:27","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166665"},"modified":"2024-04-09T12:15:28","modified_gmt":"2024-04-09T06:45:28","slug":"let-x-be-the-least-number-divisible-by-24-30-36-45-and-50-and-x-is-also-a-perfect-square","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/let-x-be-the-least-number-divisible-by-24-30-36-45-and-50-and-x-is-also-a-perfect-square\/","title":{"rendered":"Let x be the least number divisible by 24, 30, 36, 45 and 50 and x is also a perfect square"},"content":{"rendered":"\n<p>Let x be the least number divisible by 24, 30, 36, 45 and 50 and x is also a perfect square. What is the remainder when x is divided by 233?<\/p>\n\n\n\n<p>(a) 55<\/p>\n\n\n\n<p><strong>(b) 105<\/strong><\/p>\n\n\n\n<p>(c) 170<\/p>\n\n\n\n<p>(d) 103<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>L.C.M of (24, 30, 36, 45, 50) = 1800 = 900\u00d7 2<\/p>\n\n\n\n<p>For a perfect square = 900 \u00d7 2 \u00d7 2 = 3600<\/p>\n\n\n\n<p>Remainder=3600\/233=15 105\/233<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let x be the least number divisible by 24, 30, 36, 45 and 50 and x is also a perfect square. What is the remainder when x is divided by 233? (a) 55 (b) 105 (c) 170 (d) 103 Sol: L.C.M of (24, 30, 36, 45, 50) = 1800 = 900\u00d7 2 For a perfect [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":166666,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-166665","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166665","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=166665"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166665\/revisions"}],"predecessor-version":[{"id":166667,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166665\/revisions\/166667"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166666"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166665"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166665"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166665"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=166665"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}