{"id":16582,"date":"2026-05-01T01:13:42","date_gmt":"2026-04-30T19:13:42","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/number-with-given-remainders\/"},"modified":"2026-05-01T01:13:42","modified_gmt":"2026-04-30T19:13:42","slug":"number-with-given-remainders","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/number-with-given-remainders\/","title":{"rendered":"Number With Given Remainders"},"content":{"rendered":"<p>Find the smallest positive integer that leaves remainder 3 when divided by 4 and remainder 2 when divided by 5.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>7<\/li>\n<li>11<\/li>\n<li>19<\/li>\n<li>3<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2597,2540],"subject":[1425],"education_level":[1894,1895],"class_list":["post-16582","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-modular-arithmetic","topic-remainders","subject-mathematics","education_level-grade-8","education_level-ssc"],"mcq_note":"Numbers congruent to 3 mod 4 are 4k+3; solving 4k+3 \u2261 2 (mod 5) gives k \u2261 1 (mod 5) so k=1 yields 4\u00b71+3 = 7, the smallest such positive integer.","mcq_options":[{"right":"yes","answer":"7"},{"right":"no","answer":"11"},{"right":"no","answer":"19"},{"right":"no","answer":"3"}],"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":2597,"title":"Modular Arithmetic","slug":"modular-arithmetic"},{"id":2540,"title":"Remainders","slug":"remainders"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16582","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=16582"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16582"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16582"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16582"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}