{"id":16607,"date":"2025-06-11T16:42:05","date_gmt":"2025-06-11T16:42:05","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=16607"},"modified":"2025-06-11T16:42:08","modified_gmt":"2025-06-11T16:42:08","slug":"multiple-of-3-but-not-of-6-and-9-greater-than-22-but-less-than-37","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/multiple-of-3-but-not-of-6-and-9-greater-than-22-but-less-than-37\/","title":{"rendered":"Multiple of 3 but not of 6 and 9 greater than 22 but less than 37"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Multiple of 3 but not of 6 and 9 greater than 22 but less than 37.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><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<h3 class=\"wp-block-heading\">Correct Answer: <strong>33<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">To solve the problem, we need to find a number that satisfies <strong>all<\/strong> of the following conditions:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>It is a multiple of 3<\/strong><\/li>\n\n\n\n<li><strong>It is <em>not<\/em> a multiple of 6<\/strong><\/li>\n\n\n\n<li><strong>It is <em>not<\/em> a multiple of 9<\/strong><\/li>\n\n\n\n<li><strong>It is greater than 22<\/strong><\/li>\n\n\n\n<li><strong>It is less than 37<\/strong><\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: List multiples of 3 between 22 and 37<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Multiples of 3 are numbers that can be evenly divided by 3 (i.e., 3 \u00d7 n). Let\u2019s list them in this range:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>24 (3\u00d78)<\/li>\n\n\n\n<li>27 (3\u00d79)<\/li>\n\n\n\n<li>30 (3\u00d710)<\/li>\n\n\n\n<li>33 (3\u00d711)<\/li>\n\n\n\n<li>36 (3\u00d712)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">So the multiples of 3 between 22 and 37 are: <strong>24, 27, 30, 33, 36<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Eliminate multiples of 6<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Multiples of 6 are numbers divisible by both 2 and 3. Let\u2019s test each:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>24 \u2192 divisible by 6<\/li>\n\n\n\n<li>27 \u2192 not divisible by 6<\/li>\n\n\n\n<li>30 \u2192 divisible by 6<\/li>\n\n\n\n<li>33 \u2192 not divisible by 6<\/li>\n\n\n\n<li>36 \u2192 divisible by 6<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">After removing multiples of 6, we are left with: <strong>27, 33<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Eliminate multiples of 9<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Multiples of 9 are: 9, 18, 27, 36, 45&#8230;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">From the list <strong>27, 33<\/strong>, eliminate 27 (because it&#8217;s a multiple of 9).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now we are left with: <strong>33<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>33<\/strong> is the only number between 22 and 37 that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Is divisible by 3 (3 \u00d7 11 = 33)<\/li>\n\n\n\n<li>Is <strong>not<\/strong> divisible by 6<\/li>\n\n\n\n<li>Is <strong>not<\/strong> divisible by 9<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">This is a classic example of applying multiple filters step by step to narrow down options and find the one value that satisfies all the given conditions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Multiple of 3 but not of 6 and 9 greater than 22 but less than 37. The correct answer and explanation is: Correct Answer: 33 Explanation (300 words): To solve the problem, we need to find a number that satisfies all of the following conditions: Step 1: List multiples of 3 between 22 and 37 [&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-16607","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16607","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=16607"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16607\/revisions"}],"predecessor-version":[{"id":16608,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16607\/revisions\/16608"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16607"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16607"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16607"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}