{"id":2862,"date":"2012-04-23T12:06:40","date_gmt":"2012-04-23T17:06:40","guid":{"rendered":"http:\/\/www.manhattangmat.com\/blog\/?p=2862"},"modified":"2019-09-05T16:16:15","modified_gmt":"2019-09-05T16:16:15","slug":"challenge-problem-showdown-april-23rd-2012","status":"publish","type":"post","link":"https:\/\/www.manhattanprep.com\/gmat\/blog\/challenge-problem-showdown-april-23rd-2012\/","title":{"rendered":"Challenge Problem Showdown &#8211; April 23rd, 2012"},"content":{"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 paper and start solving!<\/p>\n<p>Here is this week&#8217;s problem:<\/p>\n<blockquote><p>Ror positive integer <em>m<\/em>, the m-th heptagonal number is given by the formula 5<em>m<\/em><sup>2<\/sup>\u00a0\u201c 3<em>m<\/em>)\/2. For positive integer <em>n<\/em>, the <em>n<\/em>-th triangular number is the sum of the first <em>n<\/em> positive integers. Which of the following is true for<em> k<\/em>, the smallest triangular number that is also heptagonal?<\/p><\/blockquote>\n<p><!--more--><\/p>\n<p>To 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> ($82 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":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[122],"yst_prominent_words":[],"class_list":["post-2862","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\/2862","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=2862"}],"version-history":[{"count":1,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/posts\/2862\/revisions"}],"predecessor-version":[{"id":17798,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/posts\/2862\/revisions\/17798"}],"wp:attachment":[{"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/media?parent=2862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/categories?post=2862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/tags?post=2862"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.manhattanprep.com\/gmat\/wp-json\/wp\/v2\/yst_prominent_words?post=2862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}