{"id":21081,"date":"2019-05-14T12:18:27","date_gmt":"2019-05-14T06:48:27","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21081"},"modified":"2023-04-03T14:28:12","modified_gmt":"2023-04-03T08:58:12","slug":"og-q370-if-2-00x-and-3-00y-are-2-numbers-in-decimal-form","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/og-q370-if-2-00x-and-3-00y-are-2-numbers-in-decimal-form\/","title":{"rendered":"GMAT Quant OG 2020 Question No. 370 with Solution-&#8220;If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits&#8230;&#8221;"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2>PQID = DS13841.01 | OG 2020 Question No. 370<\/h2>\n\n\n\n<p>If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00X) &gt; 2(3.00Y)?<\/p>\n\n\n\n<ol type=\"1\"><li>3X &lt; 2Y<\/li><li>X &lt; Y \u2013 3<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OG 2020<\/td><\/tr><tr><td>PQID<\/td><td>DS13841.01<\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Algebra<\/td><\/tr><tr><td>Sub-topic<\/td><td>Inequalities<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 id=\"h-solution\">Solution<\/h2>\n\n\n\n<h4 id=\"h-steps-1-2-understand-question-and-draw-inferences\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>2.00X and 3.00Y are two numbers in decimal form with thousandths digits X and Y.<\/li><\/ul>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>Whether 3(2.00X) &gt; 2(3.00Y) or not.<\/li><\/ul>\n\n\n\n<p>We can simplify the given expression as<\/p>\n\n\n\n<ul><li>3(2.00X) &gt; 2(3.00Y)<\/li><li>Or, 3(2 + 0.00X) &gt; 2(3 + 0.00Y)<\/li><li>Or, 6 + 3X\/1000 &gt; 6 + 2Y\/1000<\/li><li>Or, 3X &gt; 2Y<\/li><\/ul>\n\n\n\n<p>Hence, we need to determine whether 3X is greater than 2Y or not.<\/p>\n\n\n\n<p>With this understanding, let us now analyse the individual statements.<\/p>\n\n\n\n<h4 id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 1, 3X &lt; 2Y.<\/p>\n\n\n\n<ul><li>From this statement, we can definitely conclude that 3X is not greater than 2Y.<\/li><\/ul>\n\n\n\n<p>Hence, statement 1 is sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 2, X &lt; Y \u2013 3.<\/p>\n\n\n\n<p>Or, X + 3 &lt; Y. &#8212;-(I)<\/p>\n\n\n\n<p>Now, is 3X &gt; 2Y implies&nbsp;&nbsp;<\/p>\n\n\n\n<ul><li>IS Y &lt; (3\/2) X?<\/li><\/ul>\n\n\n\n<p>Using (I), this can be said as<\/p>\n\n\n\n<p>Is X + 3 &lt; Y &lt; (3\/2) X?<\/p>\n\n\n\n<p>Is X + 3 &lt; (3\/2) X?<\/p>\n\n\n\n<p>Is 2X + 6 &lt; 3X?<\/p>\n\n\n\n<p>Is X &gt; 6?<\/p>\n\n\n\n<p>Now, if X &gt; 6, then from (I), we can say Y &gt; 9.<\/p>\n\n\n\n<ul><li>However, Y cannot be greater than 9, as Y is a single digit.<\/li><li>Therefore, we can say X is not greater than 6, and hence 3X is not greater than 2Y.<\/li><\/ul>\n\n\n\n<p>Hence, statement 2 is sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-5-combine-both-statements-together-if-needed\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n<p>Since we can determine the answer from either of the statements individually, this step is not required.<\/p>\n\n\n\n<p>Hence, the correct answer choice is option D.<\/p>\n\n\n\n<div style=\"height:28px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3>Takeaways:<\/h3>\n\n\n\n<ol type=\"a\"><li>0.00X can be represented as X\/1000.<\/li><li>If <em>x<\/em> represents a digit in any number, say 23<em>x<\/em>4, then the only possible values for <em>x<\/em> are 0, 1, 2, &#8230;, 9.<\/li><\/ol>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? 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Why don\u2019t you<a href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">&nbsp;<strong>try out our FREE Trial?<\/strong><\/a><strong>&nbsp;<\/strong>We are the<strong>&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>&nbsp;with more than 2500 reviews as of February 2023.<\/p><\/blockquote>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-19027ee2-90d9-405d-9ae8-e679166bad4d\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" 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Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>GMAT Quant OG 2020 Question No. 370 with Solution-&quot;If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits...&quot;<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/og-q370-if-2-00x-and-3-00y-are-2-numbers-in-decimal-form\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Quant OG 2020 Question No. 370 with Solution-&quot;If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits...&quot;\" \/>\n<meta property=\"og:description\" content=\"PQID = DS13841.01 | OG 2020 Question 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