{"id":5164,"date":"2013-03-12T14:52:31","date_gmt":"2013-03-12T18:52:31","guid":{"rendered":"http:\/\/www.manhattangmat.com\/blog\/?p=5164"},"modified":"2019-09-05T16:14:32","modified_gmt":"2019-09-05T16:14:32","slug":"challenge-problem-showdown-march-11-2013","status":"publish","type":"post","link":"https:\/\/www.manhattanprep.com\/gmat\/blog\/challenge-problem-showdown-march-11-2013\/","title":{"rendered":"Challenge Problem Showdown &#8211; March 11, 2013"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" src=\"\/\/cdn.manhattanprep.com\/images\/gmat\/challengeproblemred_scribble.jpg\" alt=\"challenge problem\" width=\"506\" height=\"102\" \/><br \/>\nWe invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week&#8217;s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!<br \/>\nHere is this week&#8217;s problem:<\/p>\n<blockquote><p>In the expression\u00a0<em>a\u00a0<\/em>$\u00a0<em>b<\/em>, the $ symbol represents one of the following arithmetic operations on\u00a0<em>a<\/em>\u00a0and\u00a0<em>b<\/em>\u00a0(in the order the variables are shown): addition, subtraction, multiplication, and division. Given that it is not true that\u00a0<em>a<\/em>\u00a0$\u00a0<em>b<\/em>\u00a0=\u00a0<em>b<\/em>\u00a0$<em>\u00a0a<\/em>\u00a0for all possible values of\u00a0<em>a<\/em>\u00a0and\u00a0<em>b<\/em>, a pair of nonzero, non-identical values for\u00a0<em>a<\/em>\u00a0and\u00a0<em>b<\/em>\u00a0is chosen such that\u00a0<em>a<\/em>\u00a0$<em>\u00a0b<\/em>\u00a0produces the same result, no matter which of the operations (under the given constraints) that $ represents. The nonzero value of\u00a0<em>b<\/em>\u00a0that cannot be chosen, no matter the value of\u00a0<em>a<\/em>, is<\/p><\/blockquote>\n<p><!--more--><\/p>\n<p><img decoding=\"async\" style=\"margin: 5px;padding: 0;border: 0\" src=\"\/\/s17.postimage.org\/bc3d39x5b\/challengeproblem_RED_scribble_ICON.jpg\" alt=\"GMAT Challenge Problem\" align=\"right\" \/><br \/>\nTo see the answer choices, and to submit your answer, visit our <a href=\"\/challenge_thisweek.cfm\" target=\"_blank\">Challenge Problem Showdown<\/a> page on our site.<\/p>\n<p>Discuss this week&#8217;s problem with like-minded GMAT takers on <a href=\"\/\/www.facebook.com\/pages\/Manhattan-GMAT\/39761815456\" target=\"_blank\">our Facebook page<\/a>.<\/p>\n<p>The weekly winner, drawn from among all the correct submissions, will receive One Year of Access to our <a href=\"\/storeitemshow.cfm?ItemID=61&#038;catid=4\" target=\"_blank\">Challenge Problem Archive<\/a>, AND the <a href=\"\/storeitemshow.cfm?ItemID=336&#038;catid=4\" target=\"_blank\">GMAT Navigator<\/a>, AND Our <a href=\"\/storeitemshow.cfm?ItemID=81&#038;catid=4\" target=\"_blank\">Six Computer Adaptive Tests<\/a> ($92 value).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week&#8217;s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap [&hellip;]<\/p>\n","protected":false},"author":12,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[122],"yst_prominent_words":[],"class_list":["post-5164","post","type-post","status-publish","format-standard","hentry","category-challenge-problem","tag-challenge-problem-2"],"_links":{"self":[{"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/posts\/5164","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/comments?post=5164"}],"version-history":[{"count":1,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/posts\/5164\/revisions"}],"predecessor-version":[{"id":17633,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/posts\/5164\/revisions\/17633"}],"wp:attachment":[{"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/media?parent=5164"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/categories?post=5164"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/tags?post=5164"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/yst_prominent_words?post=5164"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}