{"id":1023,"date":"2013-11-18T02:22:04","date_gmt":"2013-11-18T02:22:04","guid":{"rendered":"http:\/\/puthisali.com\/english\/?p=1023"},"modified":"2013-11-18T02:22:04","modified_gmt":"2013-11-18T02:22:04","slug":"mind-reader","status":"publish","type":"post","link":"https:\/\/puthisali.com\/english\/2013\/11\/18\/mind-reader\/","title":{"rendered":"Mind-reader"},"content":{"rendered":"<p><span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\">The mind-reader asks a man in his audience to<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> think of a number, multiply it by 5, add 6, multiply by 4,<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> add 9, multiply by 5, and state the result.<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\">\u00a0 <\/span><span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\">Audience chooses the number 12, calculates successively 60, 66,<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> 264, 273, 1365, and announces the last number.<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> Mind-reader subtracts 165 from this result, gets 1200, knocks off the<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> two zeros, and tells Audience that 12 was the number he thought of.<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> <!--more--><\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> The trick is easily seen if put in arithmetical symbols.<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> If the number A chooses is a, then the successive operations<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> yield Sa, Sa + 6, 20a + 24, 20a + 33, and 100a + 165.<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> When M is told this number, it is evident that he can determine<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> a if he subtracts 165 and divides by 100-or cancels the<\/span><br \/>\n<span style=\"font-family: comic sans ms,sans-serif; font-size: 18px; color: #993300;\"> last two digits, which are always zero.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The mind-reader asks a man in his audience to think of a number, multiply it by 5, add 6, multiply by 4, add 9, multiply by 5, and state the result. \u00a0 Audience chooses the number 12, calculates successively 60, 66, 264, 273, 1365, and announces the last number. Mind-reader subtracts 165 from this result, <a class=\"more-link\" href=\"https:\/\/puthisali.com\/english\/2013\/11\/18\/mind-reader\/\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[22,32],"tags":[3,4,5,33,41,52,53,54,49,42],"_links":{"self":[{"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/posts\/1023"}],"collection":[{"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/comments?post=1023"}],"version-history":[{"count":0,"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/posts\/1023\/revisions"}],"wp:attachment":[{"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/media?parent=1023"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/categories?post=1023"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/puthisali.com\/english\/wp-json\/wp\/v2\/tags?post=1023"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}