{"id":442,"date":"2013-08-13T08:08:30","date_gmt":"2013-08-13T08:08:30","guid":{"rendered":"http:\/\/blog.mathsmadeelementary.co.uk\/?p=442"},"modified":"2013-08-13T08:09:07","modified_gmt":"2013-08-13T08:09:07","slug":"puzzles-7","status":"publish","type":"post","link":"https:\/\/blog.mathsmadeelementary.co.uk\/?p=442","title":{"rendered":"Puzzles 7"},"content":{"rendered":"

\"Questions\"<\/a>1. A man is awake night after night without getting a wink of sleep, and yet he doesn\u2019t feel tired. How can this be?<\/p>\n

2. Billy has just bought a new car. On his way home from work he is so excited at the prospect of showing off his new car to his girlfriend that he isn\u2019t paying attention. He goes past a red light without stopping, bumps into somebody in front of him and then turns into a \u201cNo Entry\u201d road. Despite these actions, an on-duty police officer who is observing him makes no attempt to stop him. Why?<\/p>\n

3. Billy\u2019s car cost him \u00a32,000 plus half its price. How much did it cost?<\/p>\n

4. A con-man offers a poor beggar an earthenware jug containing a liquid that he swears will turn everything it comes into contact with into pure gold. The beggar refuses the offer. Why was the beggar not deceived?<\/p>\n

5. If only one of these statements is true, how many brothers have I got?<\/p>\n\n\n\n
\n

\u2018I\u2019ve got ten or more brothers.\u2019<\/strong><\/p>\n

\u2018I\u2019ve got less than ten brothers.\u2019<\/strong><\/p>\n

\u2018I\u2019ve got at least one brother.\u2019<\/strong><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

\"Answers\"<\/a>
\nAnswers:
\n<\/span><\/strong>
\n1. He works night shifts and sleeps during the day.<\/p>\n

2. Billy was walking home. His new car had been delivered to his house.<\/p>\n

3. \u00a34,000. Use algebra: Let x = the price of Billy’s car. Then solve the equation x = (1\/2)x + 2000.<\/p>\n

4. If the con-man had been telling the truth, the jug would itself have been
\nturned to gold.<\/p>\n

5. None. \u2018I\u2019ve got less than ten brothers\u2019 is the only statement that can be
\ntrue by itself. What\u2019s more, if it\u2019s the only statement which is true, this
\nrules out having at least one brother at the same time, and so zero brothers is
\nthe only possibility remaining.<\/p>\n","protected":false},"excerpt":{"rendered":"

1. A man is awake night after night without getting a wink of sleep, and yet he doesn\u2019t feel tired. How can this be? 2. Billy has just bought a new car. On his way home from work he is … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[8],"class_list":["post-442","post","type-post","status-publish","format-standard","hentry","category-puzzles","tag-puzzles-2"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=\/wp\/v2\/posts\/442","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=442"}],"version-history":[{"count":3,"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=\/wp\/v2\/posts\/442\/revisions"}],"predecessor-version":[{"id":471,"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=\/wp\/v2\/posts\/442\/revisions\/471"}],"wp:attachment":[{"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.mathsmadeelementary.co.uk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}