{"id":17046,"date":"2026-05-02T02:35:21","date_gmt":"2026-05-01T20:35:21","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/smallest-integer-satisfying-two-remainders-3\/"},"modified":"2026-05-02T02:35:21","modified_gmt":"2026-05-01T20:35:21","slug":"smallest-integer-satisfying-two-remainders-3","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/smallest-integer-satisfying-two-remainders-3\/","title":{"rendered":"Smallest Integer Satisfying Two Remainders 3"},"content":{"rendered":"<p>Find the smallest positive integer that leaves remainder 3 when divided by 7 and remainder 4 when divided by 9.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>30<\/li>\n<li>32<\/li>\n<li>94<\/li>\n<li>7<\/li>\n<li>31<\/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":[1896],"class_list":["post-17046","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-modular-arithmetic","topic-remainders","subject-mathematics","education_level-hsc"],"mcq_note":"Testing numbers congruent to 3 modulo 7, the first one also congruent to 4 modulo 9 is 31.","mcq_options":[{"right":"no","answer":"30"},{"right":"no","answer":"32"},{"right":"no","answer":"94"},{"right":"no","answer":"7"},{"right":"yes","answer":"31"}],"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\/17046","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=17046"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17046"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17046"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17046"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17046"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}