{"id":16926,"date":"2026-05-02T01:06:54","date_gmt":"2026-05-01T19:06:54","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/large-power-remainder-5\/"},"modified":"2026-05-02T01:06:54","modified_gmt":"2026-05-01T19:06:54","slug":"large-power-remainder-5","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/large-power-remainder-5\/","title":{"rendered":"Large Power Remainder 5"},"content":{"rendered":"<p>Find the remainder when 12^97 is divided by 19.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>6<\/li>\n<li>13<\/li>\n<li>11<\/li>\n<li>12<\/li>\n<li>14<\/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-16926","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-modular-arithmetic","topic-remainders","subject-mathematics","education_level-hsc"],"mcq_note":"Reduce the base modulo 19 and use cyclic powers. This gives 12^97 \u2261 12 (mod 19).","mcq_options":[{"right":"no","answer":"6"},{"right":"no","answer":"13"},{"right":"no","answer":"11"},{"right":"yes","answer":"12"},{"right":"no","answer":"14"}],"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\/16926","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=16926"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16926"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16926"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16926"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16926"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}