{"id":21350,"date":"2019-05-21T01:54:25","date_gmt":"2019-05-20T20:24:25","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21350"},"modified":"2023-03-31T10:54:22","modified_gmt":"2023-03-31T05:24:22","slug":"ogqr-q86-if-the-smaller-of-2-consecutive","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/ogqr-q86-if-the-smaller-of-2-consecutive\/","title":{"rendered":"GMAT Quant OGQR 2020 Question #86 with Solution &#8211; &#8220;If the smaller of 2 consecutive odd integers&#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 id=\"h-pqid-ps91602-01-ogqr-2020-question-no-86\">PQID = PS91602.01&nbsp; | OGQR 2020: Question No. 86<\/h2>\n\n\n\n<p>If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers?<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>Source<\/td><td>OGQR 2020<\/td><\/tr><tr><td>Type<\/td><td>Problem Solving<\/td><\/tr><tr><td>Topic<\/td><td>Number Property<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Even &#8211; Odd<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 id=\"h-given\"><strong><u>Given<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>The smaller of 2 consecutive odd integers is a multiple of 5.<\/li><\/ul>\n\n\n\n<h4 id=\"h-to-find\"><strong><u>To Find<\/u><\/strong><\/h4>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>Among the given options, which one could not be the sum of those 2 consecutive odd integers.<\/li><\/ul>\n\n\n\n<h4 id=\"h-approach-working\"><strong><u>Approach &amp; Working<\/u><\/strong><\/h4>\n\n\n\n<p>Let us assume that the smaller of the 2 consecutive odd number is 5k, where k is an odd number.<\/p>\n\n\n\n<ul><li>Therefore, the other integer must be 5k + 2.<\/li><li>And, their sum is 5k + 5k + 2 = 10k + 2<\/li><\/ul>\n\n\n\n<p>Now, let\u2019s check the options individually.<\/p>\n\n\n\n<ul><li>If 10k + 2 = -8, then 10k = -10 or, k = -1, which is an odd number<\/li><li>If 10k + 2 = 12, then 10k = 10 or, k = 1, which is an odd number<\/li><li>If 10k + 2 = 22, then 10k = 20 or, k = 2, which is an even number<\/li><li>If 10k + 2 = 52, then 10k = 50 or, k = 5, which is an odd number<\/li><li>If 10k + 2 = 252, then 10k = 250 or, k = 25, which is an odd number<\/li><\/ul>\n\n\n\n<p>As k is an odd number, k cannot be equal to 2.<\/p>\n\n\n\n<p>Hence, the correct answer is option C.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2>Takeaway(s):<\/h2>\n\n\n\n<p>If k is an odd number, then the next consecutive odd&nbsp;number will be k + 2.&nbsp;<a href=\"https:\/\/e-gmat.com\/blogs\/if-the-smaller-of-2-consecutive-odd-integers-is-a-multiple-of-5-which-of-the-following-could-not-be-the-sum-of-these-2-integers-ogqr-2020-question-86-with-solution\/\" target=\"_blank\" rel=\"noreferrer noopener\" data-wpel-link=\"internal\"><\/a><\/p>\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? We can help you achieve that. 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-d0c38811-3a26-4d35-939a-78a39e138c97\"><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\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>PQID = PS91602.01&nbsp; | OGQR 2020: Question No. 86 If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers? Source OGQR 2020 Type Problem Solving Topic Number Property Sub-Topic Even &#8211; Odd Difficulty Medium Solution Given In this question, [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[44,94,60,61,100],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>GMAT Quant OGQR 2020 Question #86 with Solution - &quot;If the smaller of 2 consecutive odd integers...&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\/ogqr-q86-if-the-smaller-of-2-consecutive\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GMAT Quant OGQR 2020 Question #86 with Solution - &quot;If the smaller of 2 consecutive odd integers...&quot;\" \/>\n<meta property=\"og:description\" content=\"PQID = PS91602.01&nbsp; | OGQR 2020: Question No. 86 If the smaller of 2 consecutive odd integers is a multiple of 5, which of the following could NOT be the sum of these 2 integers? 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