{"id":53297,"date":"2024-07-02T13:54:44","date_gmt":"2024-07-02T08:24:44","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=53297"},"modified":"2024-07-31T16:40:09","modified_gmt":"2024-07-31T11:10:09","slug":"if-x-and-y-are-integers-and-if-x%e2%88%92y2-gmat-quant-algebra-hard-gfe-mock","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/if-x-and-y-are-integers-and-if-x%e2%88%92y2-gmat-quant-algebra-hard-gfe-mock\/","title":{"rendered":"If x and y are integers and if (x\u2212y)^2 | GMAT | Quant | Algebra | Hard | GFE Mock"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">&lt; 1<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 id=\"h-question\">Question<\/h2>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-138a2bf4-7e62-4777-8dbd-bb9808a560c1\">\n\n\n<p>If x and y are integers and if (x\u2212y)<sup>2 <\/sup>+ 2 \u00d7 y<sup>2<\/sup> = 27, which of the following could be the value of x?<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" width=\"1024\" height=\"390\" src=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques-1024x390.jpg\" alt=\"If x and y are integers and if (x\u2212y)^2\" class=\"wp-image-53298\" srcset=\"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques-1024x390.jpg 1024w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques-300x114.jpg 300w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques-768x293.jpg 768w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques-1536x586.jpg 1536w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques-1080x412.jpg 1080w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques-400x153.jpg 400w, https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Ques.jpg 1920w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n<\/div>\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 id=\"block-965333e5-c9aa-4db9-a98b-6bc640997ddf\">Solution : If x and y are integers and if (x\u2212y)^2 &#8230;<\/h2>\n\n\n\n<p id=\"block-38b5140a-ae96-43c7-937e-f85979c46cde\">Watch the video solution to see \u201cowning the dataset\u201d approach come to life on this question.<\/p>\n\n\n\n<iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/IV_bvo_uKJk?rel=0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer rel=0; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"\"><\/iframe>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-631fe222-44bc-4a3e-b849-0cfb789530c0\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-GFE-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-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Start Free GMAT Focus Prep Now<\/span>\n    <\/div><\/a><\/div><\/div>\n\n\n<h2>Question Attributes<\/h2>\n\n\n\n<ul><li>Source: Official Mocks<\/li><li>Difficulty Level: Hard \u2013 55% accuracy<\/li><li>Question Type: Algebra<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2 id=\"2-helpful-links\">Helpful Links<\/h2>\n\n\n\n<p>Dive deeper into our GMAT preparation strategies and access a wealth of resources by signing up for a <a href=\"https:\/\/resources.e-gmat.com\/sign-up-GFE-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">free trial<\/a>. Click the link below to start your journey to GMAT success with e-GMAT.<\/p>\n\n\n\n<ul><li><a href=\"https:\/\/resources.e-gmat.com\/sign-up-GFE-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\"><strong>Free Trial Access<\/strong><\/a><\/li><li><a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\"><strong>Free GMAT Focus Mock Test<\/strong><\/a><\/li><li><a href=\"https:\/\/www.youtube.com\/playlist?list=PLffGesY6kTxhhWYw97DW_zFdJA3-7CdYE\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\"><strong>DI Video Solutions Playlist<\/strong><\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/news\/gmat-success-stories\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>GFE Success Stories<\/strong><\/a><\/li><li><a href=\"https:\/\/e-gmat.com\/blogs\/gmat-focus-study-plan\/\" data-wpel-link=\"internal\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>GMAT Study Plan<\/strong><\/a><\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2>Summary &#8211;<\/h2>\n\n\n\n<p>To master Algebra questions, adhere to the following steps:<\/p>\n\n\n\n<ol><li>Thoroughly understand the given information by actively translating, drawing inferences, and visualizing.&nbsp;<\/li><li>Simplify and do mathematical processing as required.<\/li><\/ol>\n\n\n\n<div style=\"height:49px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"ub-styled-box ub-bordered-box\" id=\"ub-styled-box-631fe222-44bc-4a3e-b849-0cfb789530c0\">\n\n\n<p><span style=\"font-size: revert;\">Ready to tackle the GMAT Focus Edition? e-GMAT offers a <\/span><a style=\"font-size: revert;\" href=\"https:\/\/success.e-gmat.com\/new_study-plan\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Personalized Study Planner<\/a><span style=\"font-size: revert;\"> and top-notch <\/span><a style=\"font-size: revert;\" href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Free GFE mock exam<\/a><span style=\"font-size: revert;\"> to help you prepare effectively. As the most reviewed GMAT prep company on GMAT Club with 2700+ reviews we\u2019re here to support your GFE journey. Take advantage of our <\/span><a href=\"https:\/\/resources.e-gmat.com\/sign-up-GFE-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">free trial<\/a><span style=\"font-size: revert;\"> with the best quality content. <\/span><a href=\"https:\/\/resources.e-gmat.com\/sign-up-GFE-free-trial\" data-wpel-link=\"external\" target=\"_blank\" rel=\"external noopener noreferrer\">Start your path to success today<span style=\"font-size: revert;\">!<\/span><\/a><\/p>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-831dd9ee-5363-4542-8710-70a388da9e56\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-GFE-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-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 512, 512\"><path fill=\"currentColor\" d=\"M256 0C114.6 0 0 114.6 0 256c0 141.4 114.6 256 256 256s256-114.6 256-256C512 114.6 397.4 0 256 0zM406.6 278.6l-103.1 103.1c-12.5 12.5-32.75 12.5-45.25 0s-12.5-32.75 0-45.25L306.8 288H128C110.3 288 96 273.7 96 256s14.31-32 32-32h178.8l-49.38-49.38c-12.5-12.5-12.5-32.75 0-45.25s32.75-12.5 45.25 0l103.1 103.1C414.6 241.3 416 251.1 416 256C416 260.9 414.6 270.7 406.6 278.6z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Get free GMAT resources<\/span>\n    <\/div><\/a><\/div><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/take-sigma-x-mock\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-icon-holder\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\"height=\"30\", width=\"30\"viewBox=\"0, 0, 448, 512\"><path fill=\"currentColor\" d=\"M246.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L178.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C47.63 444.9 55.81 448 64 448s16.38-3.125 22.62-9.375l160-160C259.1 266.1 259.1 245.9 246.6 233.4zM438.6 233.4l-160-160c-12.5-12.5-32.75-12.5-45.25 0s-12.5 32.75 0 45.25L370.8 256l-137.4 137.4c-12.5 12.5-12.5 32.75 0 45.25C239.6 444.9 247.8 448 256 448s16.38-3.125 22.62-9.375l160-160C451.1 266.1 451.1 245.9 438.6 233.4z\"><\/svg><\/span><span class=\"ub-button-block-btn\">Take a free mock<\/span>\n    <\/div><\/a><\/div><\/div>\n\n<\/div>\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Question Solution : If x and y are integers and if (x\u2212y)^2 &#8230; Watch the video solution to see \u201cowning the dataset\u201d approach come to life on this question. Question Attributes Source: Official Mocks Difficulty Level: Hard \u2013 55% accuracy Question Type: Algebra Helpful Links Dive deeper into our GMAT preparation strategies and access a [&hellip;]<\/p>\n","protected":false},"author":74405,"featured_media":53299,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"off","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[44,94,100],"tags":[],"featured_image_src":"https:\/\/e-gmat.com\/blogs\/wp-content\/uploads\/2024\/07\/ALG_Official_006_Thumbnail.jpg","author_info":{"display_name":"Payal Tandon","author_link":"https:\/\/e-gmat.com\/blogs\/author\/payale-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>If x and y are integers and if (x\u2212y)^2 | GMAT | Quant | Algebra | Hard | GFE Mock<\/title>\n<meta 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