{"id":16391,"date":"2026-04-29T21:16:45","date_gmt":"2026-04-29T15:16:45","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/select-pairs-with-given-hcf-and-lcm\/"},"modified":"2026-04-29T21:16:45","modified_gmt":"2026-04-29T15:16:45","slug":"select-pairs-with-given-hcf-and-lcm","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/select-pairs-with-given-hcf-and-lcm\/","title":{"rendered":"Select Pairs With Given HCF And LCM"},"content":{"rendered":"<p>Select all pairs of positive integers that have HCF 6 and LCM 180<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>12 and 90<\/li>\n<li>18 and 60<\/li>\n<li>30 and 36<\/li>\n<li>24 and 45<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2489,2523,2637],"subject":[1425],"education_level":[1894,1895],"class_list":["post-16391","mcq","type-mcq","status-publish","hentry","topic-arithmetic-number-system","topic-factors-and-multiples","topic-hcf-and-lcm","subject-mathematics","education_level-grade-8","education_level-ssc"],"mcq_note":"If HCF\u00d7LCM = product of the two numbers, then the numbers must be 6\u00d7m and 6\u00d7n with m\u00d7n = 30 and gcd(m,n)=1; (12,90),(18,60),(30,36) satisfy this, while (24,45) does not have gcd 6.","mcq_options":[{"right":"yes","answer":"12 and 90"},{"right":"yes","answer":"18 and 60"},{"right":"yes","answer":"30 and 36"},{"right":"no","answer":"24 and 45"}],"multi_answers":"yes","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2489,"title":"Arithmetic &amp; Number System","slug":"arithmetic-number-system"},{"id":2523,"title":"Factors And Multiples","slug":"factors-and-multiples"},{"id":2637,"title":"HCF And LCM","slug":"hcf-and-lcm"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/16391","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=16391"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=16391"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=16391"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=16391"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=16391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}