{"id":651,"date":"2018-07-13T14:32:58","date_gmt":"2018-07-13T18:32:58","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=651"},"modified":"2018-07-13T14:32:58","modified_gmt":"2018-07-13T18:32:58","slug":"the-threes-puzzle","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=651","title":{"rendered":"The Threes Puzzle"},"content":{"rendered":"<p>\u201cDaddy, I\u2019d like to have the little red bicycle you see in the shop window over there,\u201d Lenny said pointing, as they were taking a walk along the avenue.<\/p>\n<p>\u201cSure, Lenny,\u201d said daddy, \u201cIf you can solve a little puzzle, I\u2019ll buy it for you right away.\u201d<\/p>\n<p>\u201cYippee, daddy,\u201d said Lenny enthusiastically, jumping up and down, \u201ctell the puzzle to me right away.\u201d<\/p>\n<p>\u201cTake the number 3 and multiply it by itself 999 times. Then tell me the last digit of the resulting number, Lenny?\u201d<\/p>\n<p>\u201cHmm\u2026,\u201d said Lenny. \u201cLet\u2019s sit down on that park bench so I can figure it out.\u201d<\/p>\n<p>\u201cOk, Lenny, take your time,\u201d said daddy.<\/p>\n<p>Lenny sat on the bench with daddy for some minutes with a very concentrated look on his face. Then he brightened up and said \u201cI\u2019ve got the answer, daddy.\u201d<\/p>\n<p>As the answer was correct, they went to the bicycle shop and Lenny came out riding the little red bicycle with a big smile on his face.<\/p>\n<p><em>What would you say is the last digit in the number resulting from multiplying 3 by itself 999 times?<\/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-651\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=651&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 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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":[29],"tags":[203,204],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-av","jetpack-related-posts":[{"id":765,"url":"https:\/\/www.blogs.euni.org\/?p=765","url_meta":{"origin":651,"position":0},"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":874,"url":"https:\/\/www.blogs.euni.org\/?p=874","url_meta":{"origin":651,"position":1},"title":"Out Buying Marbles","date":"February 28, 2019","format":false,"excerpt":"Lenny was out on the town with his daddy and they entered a toy store. \u201cI would like to buy twelve marbles, daddy,\u201d said Lenny loudly. \u201cOk, my boy, let\u2019s ask the man,\u201d said daddy. \u201cWe have lots of marbles, sonny,\u201d said the shopkeeper, smiling down at the young boy,\u2026","rel":"","context":"In &quot;Combinations&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":624,"url":"https:\/\/www.blogs.euni.org\/?p=624","url_meta":{"origin":651,"position":2},"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":911,"url":"https:\/\/www.blogs.euni.org\/?p=911","url_meta":{"origin":651,"position":3},"title":"Balls Under Cups","date":"May 22, 2019","format":false,"excerpt":"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\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":552,"url":"https:\/\/www.blogs.euni.org\/?p=552","url_meta":{"origin":651,"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":830,"url":"https:\/\/www.blogs.euni.org\/?p=830","url_meta":{"origin":651,"position":5},"title":"The Bookstore Shelf","date":"December 15, 2018","format":false,"excerpt":"Harry was busy arranging books on a book shelf at the Wide Horizons Book Shop. Harry was positioning two copies of Inferno,\u00a0 three copies of The Da Vinci Code and four of Origin. A little boy stood there watching Harry. \u201cI\u2019ll bet you don\u2019t know in how many ways you\u2026","rel":"","context":"In &quot;Combinations&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\/651"}],"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=651"}],"version-history":[{"count":1,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/651\/revisions"}],"predecessor-version":[{"id":652,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/651\/revisions\/652"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=651"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=651"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=651"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}