{"id":39905,"date":"2025-06-27T10:43:28","date_gmt":"2025-06-27T10:43:28","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=39905"},"modified":"2025-06-27T10:43:29","modified_gmt":"2025-06-27T10:43:29","slug":"if-all-the-numbers-from-7-to-51-which-are-divisible-by-7-are-removed","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/if-all-the-numbers-from-7-to-51-which-are-divisible-by-7-are-removed\/","title":{"rendered":"If all the numbers from 7 to 51 which are divisible by 7 are removed"},"content":{"rendered":"\n<p>If all the numbers from 7 to 51 which are divisible by 7 are removed, then how many numbers will be left?<\/p>\n\n\n\n<p class=\"has-text-align-left\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: 38 numbers will be left.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To solve the problem, we need to follow a step-by-step approach:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the range<\/strong>:<br>The numbers from <strong>7 to 51<\/strong> are being considered. This is an inclusive range, so both 7 and 51 are included.<\/li>\n\n\n\n<li><strong>Count the total numbers from 7 to 51<\/strong>:<br>To count how many whole numbers lie between two given numbers (inclusive), use the formula: Total\u00a0numbers=(Last\u00a0number)\u2212(First\u00a0number)+1\\text{Total numbers} = (\\text{Last number}) &#8211; (\\text{First number}) + 1 =51\u22127+1=45= 51 &#8211; 7 + 1 = 45 So, there are 45 numbers from 7 to 51, including both.<\/li>\n\n\n\n<li><strong>Find numbers divisible by 7 in this range<\/strong>:<br>The smallest number in the range divisible by 7 is 7.<br>The largest number in the range divisible by 7 is 49. We list the multiples of 7 from 7 up to 51: 7,14,21,28,35,42,497, 14, 21, 28, 35, 42, 49 Count these values: Number\u00a0of\u00a0multiples\u00a0of\u00a07=7\\text{Number of multiples of 7} = 7<\/li>\n\n\n\n<li><strong>Subtract the number of removed elements<\/strong>:<br>If we remove all numbers divisible by 7 (which are 7 in total), then the remaining count is: 45\u22127=3845 &#8211; 7 = 38<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Conclusion<\/strong>:<br>There are <strong>45<\/strong> numbers between 7 and 51 inclusive. Out of those, <strong>7<\/strong> are divisible by 7. After removing them, <strong>38<\/strong> numbers are left. The key idea is recognizing how to count inclusively and identify divisible numbers by using basic division and multiplication rules.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If all the numbers from 7 to 51 which are divisible by 7 are removed, then how many numbers will be left? The correct answer and explanation is: Correct Answer: 38 numbers will be left. Explanation: To solve the problem, we need to follow a step-by-step approach: Conclusion:There are 45 numbers between 7 and 51 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-39905","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39905","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=39905"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39905\/revisions"}],"predecessor-version":[{"id":39907,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39905\/revisions\/39907"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39905"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39905"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39905"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}