{"id":3612,"date":"2015-12-24T01:00:52","date_gmt":"2015-12-24T06:00:52","guid":{"rendered":"http:\/\/www.eimacs.com\/blog\/?p=3612"},"modified":"2015-12-22T10:51:49","modified_gmt":"2015-12-22T15:51:49","slug":"2015-imacs-holiday-logic-puzzle","status":"publish","type":"post","link":"https:\/\/www.eimacs.com\/blog\/2015\/12\/2015-imacs-holiday-logic-puzzle\/","title":{"rendered":"2015 Holiday Logic Puzzle from IMACS"},"content":{"rendered":"<div class=\"blog-image\">\n<a target=\"_blank\" href=\"https:\/\/www.imacs.org\/\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.eimacs.com\/blog\/wp-content\/uploads\/2015\/12\/Holiday-2015.jpg\" alt=\"After school, weekend and online programs in math and computer science for gifted children who enjoy fun, academic challenges.\" title=\"Institute for Mathematics and Computer Science\" width=\"500\" height=\"512\" class=\"aligncenter size-full wp-image-3613\" \/><\/a>\n<\/div>\n<p><\/p>\n<p>Last New Year&#8217;s Eve, Mary, Nancy and Peter each made a different resolution about desserts.<\/p>\n<ul class='blog-ul'>\n<li>One of them said &quot;No ice cream.&quot;<\/li>\n<li>One of them said &quot;All of my desserts will have fruit! (That makes it healthy, right?)&quot;<\/li>\n<li>One of them said &quot;No chocolate.&quot;<\/li>\n<\/ul>\n<p>In January, the three friends went out to eat three times. Loving social media, they each declared their dessert choice online during the meal. During each meal &hellip;<\/p>\n<ul class='blog-ul'>\n<li>exactly one person kept his or her resolution and was honest about it,<\/li>\n<li>exactly one person broke his or her resolution and was honest about it, and<\/li>\n<li>exactly one person broke his or her resolution and lied about it.<\/li>\n<\/ul>\n<p>Over the three meals, each person took each action once. Here were their declarations:<\/p>\n<table style=\"border:1px solid black;border-collapse:collapse;\">\n<tr>\n<td style=\"border:1px solid black;\">&nbsp;<\/td>\n<td style=\"border:1px solid black;\">Mary<\/td>\n<td style=\"border:1px solid black;\">Nancy<\/td>\n<td style=\"border:1px solid black;\">Peter<\/td>\n<\/tr>\n<tr>\n<td style=\"border:1px solid black;\">At Meal &#35;1<\/td>\n<td style=\"border:1px solid black;\">peach cobbler<\/td>\n<td style=\"border:1px solid black;\">apple pie with vanilla ice cream<\/td>\n<td style=\"border:1px solid black;\">chocolate ice cream<\/td>\n<\/tr>\n<tr>\n<td style=\"border:1px solid black;\">At Meal &#35;2<\/td>\n<td style=\"border:1px solid black;\">chocolate covered strawberries<\/td>\n<td style=\"border:1px solid black;\">plum pudding<\/td>\n<td style=\"border:1px solid black;\">peach cobbler<\/td>\n<\/tr>\n<tr>\n<td style=\"border:1px solid black;\">At Meal &#35;3<\/td>\n<td style=\"border:1px solid black;\">apple pie with vanilla ice cream<\/td>\n<td style=\"border:1px solid black;\">chocolate cake<\/td>\n<td style=\"border:1px solid black;\">cheesecake<\/td>\n<\/tr>\n<\/table>\n<p><\/p>\n<p>For each person, what resolution was made?<\/p>\n<p>Try your best before looking at the <a target=\"_blank\" href=\"https:\/\/www.imacs.org\/holidaypuzzle\/\">solution<\/a> to this year&#8217;s IMACS Holiday Logic Puzzle.<\/p>\n<div class=\"after-post\"><a target=\"_blank\" href=\"https:\/\/www.imacs.org\/\">IMACS<\/a> wishes you and your family a happy holiday season and healthy new year! Like <a target=\"_blank\" href=\"https:\/\/www.imacs.org\/\">IMACS<\/a> on <a target=\"_blank\" rel=\"nofollow\" href=\"https:\/\/www.facebook.com\/eimacs\">Facebook<\/a> for the latest information about our <a target=\"_blank\" href=\"https:\/\/www.imacs.org\/math-computer-science\/after-school-math-enrichment\/\">local classes<\/a> and <a target=\"_blank\" href=\"https:\/\/www.imacs.org\/math-computer-science\/distance-learning\/\">online courses<\/a>.<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Last New Year&#8217;s Eve, Mary, Nancy and Peter each made a different resolution about desserts. One of them said &quot;No ice cream.&quot; One of them said &quot;All of my desserts will have fruit! (That makes it healthy, right?)&quot; One of them said &quot;No chocolate.&quot; In January, the three friends went out to eat three times. [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[72],"tags":[],"class_list":["post-3612","post","type-post","status-publish","format-standard","hentry","category-logical-reasoning"],"_links":{"self":[{"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/posts\/3612"}],"collection":[{"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/comments?post=3612"}],"version-history":[{"count":0,"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/posts\/3612\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/media?parent=3612"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/categories?post=3612"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.eimacs.com\/blog\/wp-json\/wp\/v2\/tags?post=3612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}