{"id":154649,"date":"2023-08-05T14:47:11","date_gmt":"2023-08-05T09:17:11","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=154649"},"modified":"2023-08-05T14:47:16","modified_gmt":"2023-08-05T09:17:16","slug":"how-many-integers-are-there-between-100-and-1000-all-of-whose-digits-are-even","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/how-many-integers-are-there-between-100-and-1000-all-of-whose-digits-are-even\/","title":{"rendered":"How many integers are there between 100 and 1000 all of whose digits are even?"},"content":{"rendered":"\n<p>Q. How many integers are there between 100 and 1000 all of whose digits are even?<\/p>\n\n\n\n<p>(A) 60<\/p>\n\n\n\n<p>(B) 80<\/p>\n\n\n\n<p>(C) 100<\/p>\n\n\n\n<p>(D) 90<\/p>\n\n\n\n<p>Ans: 100<\/p>\n\n\n\n<p>We need the numbers between 100 and 1000 and all the digits should be even. <\/p>\n\n\n\n<p>As the required numbers are greater than 100 and less than 1000, all the numbers have 3 digits only. <\/p>\n\n\n\n<p>As we can fill each digit with an even number, <\/p>\n\n\n\n<p>Possible even numbers to fill unit place = 0, 2, 4, 6, 8 (5 possibilities) <\/p>\n\n\n\n<p>Possible even numbers to fill tens place = 0, 2, 4, 6, 8 (5 possibilities) <\/p>\n\n\n\n<p>Possible even numbers to fill hundreds place = 2, 4, 6, 8 (4 possibilities)<\/p>\n\n\n\n<p>Total number of choices =<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"216\" height=\"31\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-535.png\" alt=\"\" class=\"wp-image-154650\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. How many integers are there between 100 and 1000 all of whose digits are even? (A) 60 (B) 80 (C) 100 (D) 90 Ans: 100 We need the numbers between 100 and 1000 and all the digits should be even. As the required numbers are greater than 100 and less than 1000, all the [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":154651,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5141],"tags":[5140],"offerexpiration":[],"class_list":["post-154649","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154649","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=154649"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154649\/revisions"}],"predecessor-version":[{"id":154652,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154649\/revisions\/154652"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/154651"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=154649"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=154649"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=154649"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=154649"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}