{"id":16485,"date":"2026-04-30T02:58:05","date_gmt":"2026-04-29T20:58:05","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/smallest-positive-integer-satisfying-modulo\/"},"modified":"2026-04-30T02:58:05","modified_gmt":"2026-04-29T20:58:05","slug":"smallest-positive-integer-satisfying-modulo","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/smallest-positive-integer-satisfying-modulo\/","title":{"rendered":"Smallest Positive Integer Satisfying Modulo"},"content":{"rendered":"<p>Find the smallest positive integer x such that 3x + 1 is divisible by 7.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>1<\/li>\n<li>2<\/li>\n<li>3<\/li>\n<li>5<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2526,2489,2597,2497],"subject":[1425],"education_level":[1894,1895],"class_list":["post-16485","mcq","type-mcq","status-publish","hentry","topic-arithmetic","topic-arithmetic-number-system","topic-modular-arithmetic","topic-number-system","subject-mathematics","education_level-grade-8","education_level-ssc"],"mcq_note":"Solve 3x + 1 \u2261 0 (mod 7) \u21d2 3x \u2261 6 (mod 7). The inverse of 3 mod 7 is 5, so x \u2261 5\u00b76 \u2261 30 \u2261 2 (mod 7); smallest positive x = 2.","mcq_options":[{"right":"no","answer":"1"},{"right":"yes","answer":"2"},{"right":"no","answer":"3"},{"right":"no","answer":"5"}],"multi_answers":"no","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2526,"title":"Arithmetic","slug":"arithmetic"},{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2597,"title":"Modular Arithmetic","slug":"modular-arithmetic"},{"id":2497,"title":"Number System","slug":"number-system"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16485","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=16485"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16485"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16485"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16485"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}