{"id":16927,"date":"2026-05-02T01:07:03","date_gmt":"2026-05-01T19:07:03","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/large-power-remainder-6\/"},"modified":"2026-05-02T01:07:03","modified_gmt":"2026-05-01T19:07:03","slug":"large-power-remainder-6","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/large-power-remainder-6\/","title":{"rendered":"Large Power Remainder 6"},"content":{"rendered":"<p>Find the remainder when 8^123 is divided by 11.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>6<\/li>\n<li>5<\/li>\n<li>7<\/li>\n<li>2<\/li>\n<li>8<\/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-16927","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 11 and use cyclic powers. This gives 8^123 \u2261 6 (mod 11).","mcq_options":[{"right":"yes","answer":"6"},{"right":"no","answer":"5"},{"right":"no","answer":"7"},{"right":"no","answer":"2"},{"right":"no","answer":"8"}],"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\/16927","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=16927"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16927"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16927"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16927"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16927"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}