{"id":20965,"date":"2019-05-13T11:09:20","date_gmt":"2019-05-13T05:39:20","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=20965"},"modified":"2023-06-14T16:27:52","modified_gmt":"2023-06-14T10:57:52","slug":"og-q290-if-s-is-a-set-of-odd-integers","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/og-q290-if-s-is-a-set-of-odd-integers\/","title":{"rendered":"GMAT Quant OG 2020 Question No. 290 with Solution- &#8220;If S is a set of odd integers&#8230;&#8221;"},"content":{"rendered":"<span class=\"span-reading-time 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 class=\"wp-block-heading\" id=\"h-pqid-ds10602-01-og-2020-question-no-290\">PQID = DS10602.01 | OG 2020 Question No. 290<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If S is a set of odd integers and 3 and \u20131 are in S, is \u201315 in S?<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>5 is in S.<\/li><li>Whenever two numbers are in S, their product is in S.<\/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>DS10602.01<\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Number Properties<\/td><\/tr><tr><td>Sub-topic<\/td><td>Even\/Odd<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-solution\">Solution<\/h2>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-steps-1-2-understand-question-and-draw-inferences\"><u><strong>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/strong><\/u><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">In this question, we are given that:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>S is a set of odd integers<\/li><li>The numbers 3 and -1 are in S<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We need to determine<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Whether the number -15 is in S or not.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">As we do not have any other information about the elements present in S, let us now analyse the individual statements.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">As per the information given in statement 1, the number 5 is in the set S.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>However, from this statement we cannot say whether the number -15 is present in S or not.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, statement 1 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">As per the information given in statement 2, whenever two numbers are present in S, their product is also present in S.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We already know that 3 and -1 are present in S.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Therefore, we can say that (3 \u00d7 -1) or -3 is also present in S.<\/li><li>However, we can\u2019t say whether -15 is present in S or not. <ul><li>Note that even with the rule in statement 2, we need a 5 in set S to be able to create -15.<\/li><li>But we have no idea about the presence of 5.<\/li><\/ul><\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Hence, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" 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 class=\"wp-block-paragraph\">From statements 1 and 2, we can say<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>3, -1, -3 and 5 are all present in set S.<\/li><li>Also, for any two elements present in S, their product is also present in S.<\/li><li>Therefore, we can say (-3 \u00d7 5) or -15 is also present in S.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">As we can determine that -15 is present in S by combining both statements, the correct answer is option C.<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Takeaways:<\/h3>\n\n\n\n<ol class=\"wp-block-list\" type=\"a\"><li>Be careful with translations. &#8211; \u201cSet S is a set of odd integers\u201d does NOT mean that S has ALL the odd integers in the world. The article \u201ca\u201d in \u201ca set\u201d is important!<\/li><li>Be careful not to drag statement 1 when individually analyzing statement 2. This is a common mistake in DS. In this question, you would have marked B if you made that mistake!<\/li><\/ol>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><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 style=\"gap: 20px\" class=\"align-button-center ub-buttons orientation-button-row ub-flex-wrap wp-block-ub-button\" id=\"ub-button-24d9b85b-eb07-45b1-aab7-9d9e0e3bce82\"><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main   ub-button-flex\" role=\"button\" style=\"--ub-button-background-color: #0693e3; --ub-button-color: #ffffff; --ub-button-border: none; --ub-button-hover-background-color: #313131; --ub-button-hover-color: #ffffff; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 10px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>PQID = DS10602.01 | OG 2020 Question No. 290 If S is a set of odd integers and 3 and \u20131 are in S, is \u201315 in S? 5 is in S. Whenever two numbers are in S, their product is in S. Source OG 2020 PQID DS10602.01 Type Data Sufficiency Topic Number Properties Sub-topic [&hellip;]<\/p>\n","protected":false},"author":79663,"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":"","footnotes":""},"categories":[105,44,94,60,100],"tags":[],"class_list":["post-20965","post","type-post","status-publish","format-standard","hentry","category-advanced-topics","category-gmat-official-guide-solutions","category-gmat-prep","category-gmat-quant","category-quant-official-guide-solutions","et-doesnt-have-format-content","et_post_format-et-post-format-standard"],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>GMAT Quant OG 2020 Question No. 290 with Solution- &quot;If S is a set of 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\/og-q290-if-s-is-a-set-of-odd-integers\/\" \/>\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. 290 with Solution- &quot;If S is a set of odd integers...&quot;\" \/>\n<meta property=\"og:description\" content=\"PQID = DS10602.01 | OG 2020 Question No. 290 If S is a set of odd integers and 3 and \u20131 are in S, is \u201315 in S? 5 is in S. 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