{"id":16303,"date":"2026-04-29T03:39:37","date_gmt":"2026-04-28T21:39:37","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/number-with-given-divisibility-and-remainder\/"},"modified":"2026-04-29T03:39:37","modified_gmt":"2026-04-28T21:39:37","slug":"number-with-given-divisibility-and-remainder","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/number-with-given-divisibility-and-remainder\/","title":{"rendered":"Number With Given Divisibility And Remainder"},"content":{"rendered":"<p>Find the smallest positive integer that is divisible by both 8 and 12 and leaves a remainder of 4 when divided by 5.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>12<\/li>\n<li>24<\/li>\n<li>28<\/li>\n<li>40<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2513,2597],"subject":[1425],"education_level":[1894,1895],"class_list":["post-16303","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-lcm-and-hcf","topic-modular-arithmetic","subject-mathematics","education_level-grade-8","education_level-ssc"],"mcq_note":"LCM of 8 and 12 is 24, so candidates are multiples of 24; 24 mod 5 = 4, so 24 is the smallest number satisfying all conditions.","mcq_options":[{"right":"no","answer":"12"},{"right":"yes","answer":"24"},{"right":"no","answer":"28"},{"right":"no","answer":"40"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2513,"title":"LCM and HCF","slug":"lcm-and-hcf"},{"id":2597,"title":"Modular Arithmetic","slug":"modular-arithmetic"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16303","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=16303"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16303"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16303"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16303"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}