{"id":187328,"date":"2025-02-04T06:38:16","date_gmt":"2025-02-04T06:38:16","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=187328"},"modified":"2025-02-04T06:38:18","modified_gmt":"2025-02-04T06:38:18","slug":"the-number-is-greater-than-1-7-million-but-less-than-2-2-million","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/04\/the-number-is-greater-than-1-7-million-but-less-than-2-2-million\/","title":{"rendered":"The number is greater than 1.7 million but less than 2.2 million"},"content":{"rendered":"\n<p>The number is greater than 1.7 million but less than 2.2 million.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All the digits are even numbers.<\/li>\n\n\n\n<li>The millions digit multiplied by 3 equals the ones digit.<\/li>\n\n\n\n<li>The ones digit is 2 less than the tens digit and 2 more than the thousands digit.<\/li>\n\n\n\n<li>The sum of the digits is 20.<\/li>\n<\/ul>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let&#8217;s break down the problem step by step to find the correct number.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Define the Range<\/strong><\/h3>\n\n\n\n<p>The number is between <strong>1,700,000<\/strong> and <strong>2,200,000<\/strong>. This means the millions digit could be <strong>1 or 2<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Identify Even Digits<\/strong><\/h3>\n\n\n\n<p>All digits in the number must be <strong>even<\/strong> (0, 2, 4, 6, 8).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Determine the Millions Digit<\/strong><\/h3>\n\n\n\n<p>The millions digit, when multiplied by 3, should equal the ones digit: millions&nbsp;digit\u00d73=ones&nbsp;digit\\text{millions digit} \\times 3 = \\text{ones digit}<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If the millions digit is <strong>1<\/strong>:<br>1\u00d73=31 \\times 3 = 3 (not even, so invalid)<\/li>\n\n\n\n<li>If the millions digit is <strong>2<\/strong>:<br>2\u00d73=62 \\times 3 = 6 (valid because 6 is even)<\/li>\n<\/ul>\n\n\n\n<p>Thus, the millions digit is <strong>2<\/strong>, and the ones digit is <strong>6<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 4: Relationship Between Ones, Tens, and Thousands Digits<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The ones digit (<strong>6<\/strong>) is <strong>2 less<\/strong> than the tens digit \u2192 <strong>Tens digit = 6 + 2 = 8<\/strong><\/li>\n\n\n\n<li>The ones digit (<strong>6<\/strong>) is <strong>2 more<\/strong> than the thousands digit \u2192 <strong>Thousands digit = 6 &#8211; 2 = 4<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Thus, the <strong>thousands digit is 4<\/strong> and the <strong>tens digit is 8<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 5: Calculate the Sum of Digits<\/strong><\/h3>\n\n\n\n<p>The total sum of digits should be <strong>20<\/strong>. The number has <strong>seven digits<\/strong>: 2+X+4+Y+Z+8+6=202 + X + 4 + Y + Z + 8 + 6 = 20<\/p>\n\n\n\n<p>We already know:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Millions digit = 2<\/strong><\/li>\n\n\n\n<li><strong>Thousands digit = 4<\/strong><\/li>\n\n\n\n<li><strong>Tens digit = 8<\/strong><\/li>\n\n\n\n<li><strong>Ones digit = 6<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Thus: 2+X+4+Y+Z+8+6=202 + X + 4 + Y + Z + 8 + 6 = 20 X+Y+Z=20\u2212(2+4+8+6)=20\u221220=0X + Y + Z = 20 &#8211; (2 + 4 + 8 + 6) = 20 &#8211; 20 = 0<\/p>\n\n\n\n<p>Since X, Y, and Z are digits and must be even, the only solution is <strong>X = 0, Y = 0, Z = 0<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 6: Identify the Number<\/strong><\/h3>\n\n\n\n<p>The number is <strong>2,004,086<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final Answer:<\/strong><\/h3>\n\n\n\n<p><strong>2,004,086<\/strong> satisfies all the given conditions:<\/p>\n\n\n\n<p>\u2714 Between <strong>1.7M and 2.2M<\/strong><br>\u2714 All digits are <strong>even<\/strong><br>\u2714 2\u00d73=62 \\times 3 = 6 (Millions \u00d7 3 = Ones)<br>\u2714 6=8\u221226 = 8 &#8211; 2 and 6=4+26 = 4 + 2<br>\u2714 Sum of digits = <strong>20<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The number is greater than 1.7 million but less than 2.2 million. The Correct Answer and Explanation is : Let&#8217;s break down the problem step by step to find the correct number. Step 1: Define the Range The number is between 1,700,000 and 2,200,000. This means the millions digit could be 1 or 2. Step [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-187328","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187328","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=187328"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/187328\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=187328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=187328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=187328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}