{"id":16689,"date":"2026-05-01T23:34:01","date_gmt":"2026-05-01T17:34:01","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-when-a-power-is-divided-2\/"},"modified":"2026-05-01T23:34:01","modified_gmt":"2026-05-01T17:34:01","slug":"remainder-when-a-power-is-divided-2","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/remainder-when-a-power-is-divided-2\/","title":{"rendered":"Remainder When A Power Is Divided"},"content":{"rendered":"<p>Find the remainder when 2^100 is divided by 3.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>0<\/li>\n<li>1<\/li>\n<li>2<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2597,2522,2694],"subject":[1425],"education_level":[1896],"class_list":["post-16689","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-modular-arithmetic","topic-number-theory","topic-powers-and-exponents","subject-mathematics","education_level-hsc"],"mcq_note":"Powers of 2 modulo 3 cycle: 2^1\u22612, 2^2\u22611, then repeat with period 2; since 100 is even, 2^100\u22611 (mod 3), so remainder 1.","mcq_options":[{"right":"no","answer":"0"},{"right":"yes","answer":"1"},{"right":"no","answer":"2"}],"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":2522,"title":"Number Theory","slug":"number-theory"},{"id":2694,"title":"Powers And Exponents","slug":"powers-and-exponents"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16689","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=16689"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16689"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16689"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16689"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16689"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}