{"id":16921,"date":"2026-05-02T01:06:10","date_gmt":"2026-05-01T19:06:10","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/greatest-divisor-leaving-same-remainder-5\/"},"modified":"2026-05-02T01:06:10","modified_gmt":"2026-05-01T19:06:10","slug":"greatest-divisor-leaving-same-remainder-5","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/greatest-divisor-leaving-same-remainder-5\/","title":{"rendered":"Greatest Divisor Leaving Same Remainder 5"},"content":{"rendered":"<p>Find the greatest number that divides 745, 985, and 1225 leaving the same remainder in each case.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>240<\/li>\n<li>120<\/li>\n<li>480<\/li>\n<li>5<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2631,2540],"subject":[1425],"education_level":[1896],"class_list":["post-16921","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-gcd-and-lcm","topic-remainders","subject-mathematics","education_level-hsc"],"mcq_note":"If a divisor leaves the same remainder, it must divide all pairwise differences. GCD of the differences is 240.","mcq_options":[{"right":"yes","answer":"240"},{"right":"no","answer":"120"},{"right":"no","answer":"480"},{"right":"no","answer":"5"}],"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":2631,"title":"GCD And LCM","slug":"gcd-and-lcm"},{"id":2540,"title":"Remainders","slug":"remainders"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16921","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=16921"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16921"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16921"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16921"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}