{"id":16759,"date":"2026-05-01T23:57:13","date_gmt":"2026-05-01T17:57:13","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/number-theory-challenge-59\/"},"modified":"2026-05-01T23:57:13","modified_gmt":"2026-05-01T17:57:13","slug":"number-theory-challenge-59","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/number-theory-challenge-59\/","title":{"rendered":"Number Theory Challenge 59"},"content":{"rendered":"<p>Find the remainder when (59+3)^64 is divided 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>0<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2522,2540],"subject":[1425],"education_level":[1896],"class_list":["post-16759","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-number-theory","topic-remainders","subject-mathematics","education_level-hsc"],"mcq_note":"Use modular arithmetic and cyclic patterns to determine the remainder.","mcq_options":[{"right":"no","answer":"1"},{"right":"no","answer":"2"},{"right":"no","answer":"3"},{"right":"yes","answer":"0"}],"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":2522,"title":"Number Theory","slug":"number-theory"},{"id":2540,"title":"Remainders","slug":"remainders"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16759","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=16759"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16759"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16759"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16759"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16759"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}