{"id":911,"date":"2019-05-22T18:20:38","date_gmt":"2019-05-22T22:20:38","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=911"},"modified":"2019-05-22T18:20:45","modified_gmt":"2019-05-22T22:20:45","slug":"balls-under-cups","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=911","title":{"rendered":"Balls Under Cups"},"content":{"rendered":"\n<p>One sunny Saturday afternoon while Lennie was taking his daily stroll\nin the city, he passed a young woman walking bent over, hands on her face, crying.<\/p>\n\n\n\n<p>\u201cWhat\u2019s the matter, girl,\u201d said Lennie, stepping alongside.<\/p>\n\n\n\n<p>\u201cI\u2019ve just been cheated of 20 quid I had saved up to buy my sick mother\nsome medical supplies she needs, hoping to win more,\u201d she sobbed.<\/p>\n\n\n\n<p>She explained that a man sitting at a makeshift table on the bridge by\nthe river had cheated her using cups and a ball.<\/p>\n\n\n\n<p>\u201cCome with me,\u201d said Lenny, taking her resolutely by the hand, \u201clet\u2019s\nsee about this.\u201d<\/p>\n\n\n\n<p>\u201cSo you wanna play, matey,\u201d said the trickster to Lenny, spitting\ntobacco and deftly moving the cups and ball about on a small table supported by\ntwo plastic beer cases. <\/p>\n\n\n\n<p>\u201cSure, pal,\u201d said Lenny, \u201clooks easy enough to spot which cup is hiding\nthe ball. You\u2019re going to lose.\u201d<\/p>\n\n\n\n<p>The game proceeded to its inevitable conclusion.<\/p>\n\n\n\n<p>\u201cYou\u2019re really good at this, pal. Looks like I owe you 50 quid,\u201d said\nLenny, looking impressed.<\/p>\n\n\n\n<p>\u201cRight you are, matey. Pay up.\u201d<\/p>\n\n\n\n<p>\u201cCertainly, here you have the cash,\u201d said Lenny, placing a fifty quid\nnote on the table. \u201cBut I have a proposition for you, if you are a daring gambling\nman.\u201d<\/p>\n\n\n\n<p>\u201cEh, what\u2019s dat,\u201d said the trickster with a sly grin.<\/p>\n\n\n\n<p>\u201cWell, if you win, I\u2019ll pay you 200 quid, if you lose you pay me 100\nquid. You need to solve a small problem in division,\u201d said Lenny.<\/p>\n\n\n\n<p>\u201cAnd what kind of trick is that?\u201d<\/p>\n\n\n\n<p>\u201cSimple, really. I\u2019ll give you five attempts to find a square number\nwhich divided by five gives a remainder of two or three.\u201d said Lenny. <\/p>\n\n\n\n<p>\u201cUhh\u2026 Give me an example,\u201d said the trickster.<\/p>\n\n\n\n<p>\u201cWell, take any number such as six and square it, in this case getting\n36, which divided by five gives a remainder of one. You just need to find a\nnumber that gives two or three as a remainder. Easy peasy,\u201d said Lenny.<\/p>\n\n\n\n<p>\u201cMatey, you just lost another 200 quid. I\u2019ve got a quick mind for figures, see,\u201d said the trickster, tapping his temple and chewing more rapidly on his tobacco.<\/p>\n\n\n\n<p>\u201cOkay, pal, let\u2019s put our money on the table,\u201d said Lenny.<\/p>\n\n\n\n<p>After trying five times, the trickster was unable to find such a number\nand, swearing to high heaven, had to concede a loss. <\/p>\n\n\n\n<p>Lenny, who was much bigger than the trickster, picked up his newly won 100\nquid plus his stake of 200 and walked away with the girl.<\/p>\n\n\n\n<p>\u201cNext time stay away from such people,\u201d said Lenny handing her the 20 quid she had lost, plus a fiver. She gave him a big hug followed by a quick kiss, and ran off.<\/p>\n\n\n\n<p><em>Can you find such a number?<\/em><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-911\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-911\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-911\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>One sunny Saturday afternoon while Lennie was taking his daily stroll in the city, he passed a young woman walking bent over, hands on her face, crying. \u201cWhat\u2019s the matter, girl,\u201d said Lennie, stepping alongside. \u201cI\u2019ve just been cheated of 20 quid I had saved up to buy my sick mother some medical supplies she [&hellip;]<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-911\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-911\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-911\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=911&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[50],"tags":[306,307,308],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-eH","jetpack-related-posts":[{"id":624,"url":"https:\/\/www.blogs.euni.org\/?p=624","url_meta":{"origin":911,"position":0},"title":"The Sequential Number","date":"May 11, 2018","format":false,"excerpt":"\u201cLennie, have you done your math homework?\u201d asked daddy, while driving home from school. \u201cYes, daddy I did it during math class,\u201d said Lennie with a bored expression. \u201cThat was fast,\u201d said daddy in surprise, \u201cwas it so easy?\u201d \u201cYes, daddy, too simplistic. Can you give me something interesting to\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":627,"url":"https:\/\/www.blogs.euni.org\/?p=627","url_meta":{"origin":911,"position":1},"title":"New Year Rocket Firing","date":"May 20, 2018","format":false,"excerpt":"Two mathematicians, Albert and Lenny, were busy firing off rockets to celebrate New Year\u2019s Eve. \u201cHey Albert, how many rockets do you have left?\u201d asked Lennie, who loved to see and hear the rockets burst into colorful explosions in the night sky. \u201cWell, Lennie, I have exactly half as many\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":686,"url":"https:\/\/www.blogs.euni.org\/?p=686","url_meta":{"origin":911,"position":2},"title":"A Basket of Fruit","date":"September 24, 2018","format":false,"excerpt":"\u201cI hear the jingle of the fruit vendor Zoltan passing by, Lennie,\u201d said mommy. \u201cWon\u2019t you please run out and buy some fruit for your lunch box next week, and take this basket.\u201d \u201cSure, mommy.\u201d Lennie ran out with the basked to catch Zoltan before he rode away on his\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":765,"url":"https:\/\/www.blogs.euni.org\/?p=765","url_meta":{"origin":911,"position":3},"title":"Six Colored Balls","date":"November 14, 2018","format":false,"excerpt":"\u201cDaddy, what are these six colored balls for?\u201d \u201cWell, son, you\u2019ll notice that three of them are red, two blue and one is green. The red balls all have the number one printed on them, the blue balls all have the number two printed on them, and the green one\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":552,"url":"https:\/\/www.blogs.euni.org\/?p=552","url_meta":{"origin":911,"position":4},"title":"The Fibonacci Demo","date":"December 30, 2017","format":false,"excerpt":"\u201cYou lose again, Lenny\u201c sneered Snipe after his loaded dice turned up another seven on the green felt table mat. \u201cNow you owe me a hundred dollars. Hand it over now,\u201d demanded Snipe, hand extended. \u201cWell. . . seems you have had an extraordinary streak of luck, Snipe,\u201d replied Lenny,\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":259,"url":"https:\/\/www.blogs.euni.org\/?p=259","url_meta":{"origin":911,"position":5},"title":"Three Dice Cups","date":"November 6, 2016","format":false,"excerpt":"Jackson was concentrating on the three cups filled with dice placed in front of him on the table covered with green felt, wondering which to choose. \u201cSome say that the result of any of the cups will be the same, just a fifty percent chance,\u201d said Snipes the slick gambler.\u2026","rel":"","context":"In &quot;Probability&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/911"}],"collection":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=911"}],"version-history":[{"count":3,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/911\/revisions"}],"predecessor-version":[{"id":914,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/911\/revisions\/914"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=911"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=911"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=911"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}