tag:blogger.com,1999:blog-5118376151319215162024-03-14T06:36:05.264+05:30Spirit Of GeniusSomething to tease your brain!PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.comBlogger834125tag:blogger.com,1999:blog-511837615131921516.post-82095811593432716312024-02-20T11:08:00.001+05:302024-02-20T11:08:31.704+05:30Puzzle : Draw The Maximum Sum<div dir="ltr" style="text-align: left;" trbidi="on">
<span face=""trebuchet ms" , sans-serif">Assume you are blindfolded and placed in front of a large bowl
containing currency in <b>$50</b>, <b>$20</b>, <b>$10</b>, and <b>$5</b> denominations. You are
allowed to reach in and remove bills, one bill at a time. The drawing
stops as soon as you have selected <b>four-of-a-kind</b>— four bills of the
<b>same denomination</b>. </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">What is the <b>maximum</b> sum of money you could accumulate
before the drawing ends?</span><br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuW0zD_-hE2DWB1btNmSGSXXJrWtViXUSpTRknx220GnAwhAUoQLdz_eaP-0hHGhH8sg8YQFzbTt7jW5oZPvrrCZwgMQUMpM3x0CHpPjv0a6wilL4EU2Xm_PJCJc5WSOdTxsUYVXH1i1w/s1600/green-2084561_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Draw The Maximum Sum" border="0" data-original-height="932" data-original-width="1280" height="145" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuW0zD_-hE2DWB1btNmSGSXXJrWtViXUSpTRknx220GnAwhAUoQLdz_eaP-0hHGhH8sg8YQFzbTt7jW5oZPvrrCZwgMQUMpM3x0CHpPjv0a6wilL4EU2Xm_PJCJc5WSOdTxsUYVXH1i1w/s200/green-2084561_1280.png" title="Draw The Maximum Sum" width="200" /></a></div>
<br />
<br />
<span face=""trebuchet ms" , sans-serif"><b><a href="https://spirit-of-genius.blogspot.com/2020/04/the-maximum-that-you-can-get.html" target="_blank">THIS should be the maximum sum!</a></b> </span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""trebuchet ms" , sans-serif"><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""trebuchet ms" , sans-serif"><a href="https://www.braingle.com/brainteasers/2871/blindfolded-money-bowl.html"><b><span style="font-size: x-small;">Source </span></b></a><br /></span></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-26832352132756010372024-02-20T11:07:00.001+05:302024-02-20T11:12:12.241+05:30The Maximum That You Can Get!<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<b><span face=""Trebuchet MS", sans-serif"><a href="https://spirit-of-genius.blogspot.com/2020/04/draw-maximum-sum.html" target="_blank">What was the question?</a></span></b><br />
<br />The quick response to the question by any body would be 3 x 50 + 1 x 20 = $170 would be the maximum as next pick of highest currency of $50 will stop drawing of currencies. But that 5th attempt may not be of $50 & could be of $20,$10 or $5. So this case doesn't count those possibilities. This is worst case scenario where 3 out of 4 picks resulted into accumulation of 3 currencies of same denomination of $50.<br />
<span face=""trebuchet ms" , sans-serif"><br /></span>
<span face=""trebuchet ms" , sans-serif">So ideally, after drawing three $50 s, three $20 s, three $10 s, three $5 s and finally drawing one anything will stop drawing attempts as that will accumulate 4 bills of same denomination (of $50/$20/$10/$5). The best that can be picked is $50 to get the maximum.</span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""trebuchet ms" , sans-serif"><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""trebuchet ms" , sans-serif">That is total maximum of 50 x 3 + 20 x 3 + 10 x 3 + 5 x 3 + 50 = <b>$305 </b>can be accumulated in 12 attempts & stopping after 13th attempt. And this will be the best case.</span><br />
<br />
<span face=""trebuchet ms" , sans-serif"><br /></span>
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjNoMbcpFPV3MO8U3DYWQX0qqQbNlGrCv_4VkBkZd6Uqts3eAwBK8umwJ6rvhqIXr-79laGgL7bTZYhXmtyzOhQRUHoVzOdyDjtXdvyCmvJoDZMhLvgKGhu5DBrjRlSJl_IY0nSXiUpg6s/s1600/businessman-4238857_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="The Maximum That You Can Get!" border="0" data-original-height="1280" data-original-width="827" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjNoMbcpFPV3MO8U3DYWQX0qqQbNlGrCv_4VkBkZd6Uqts3eAwBK8umwJ6rvhqIXr-79laGgL7bTZYhXmtyzOhQRUHoVzOdyDjtXdvyCmvJoDZMhLvgKGhu5DBrjRlSJl_IY0nSXiUpg6s/s200/businessman-4238857_1280.png" title="The Maximum That You Can Get!" width="128" /></a></div>
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PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-32133226113891887482024-02-15T11:46:00.002+05:302024-02-15T11:46:09.393+05:30Spot The Liar Among<div dir="ltr" style="text-align: left;" trbidi="on">
<span face=""trebuchet ms" , sans-serif">There is a party of 100 politicians. All of them are either <b>honest</b> or<b> liars.</b> You walk in knowing two things:</span><br />
<span face=""trebuchet ms" , sans-serif"><br />
1. <b>At least one </b>of them is <b>honest.</b></span><br />
<span face=""trebuchet ms" , sans-serif"><br />
2. If you take any two politicians, <b>at least one</b> of them is a <b>liar.</b></span><br />
<span face=""trebuchet ms" , sans-serif"><br />
From this information, can you know how many are liars and how many are honest?</span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyq7RIaptabhfzloGKrMje5wnPyhPvJG_Rg5OROTePibG5tKI-1Q0n8AR9meQSDyP-m3e19KFEwxjWS3pQ7iB_xda1vMzq8q5OUYF4IDEzXr29iJkz3yt1lhbtjfBoGhdiBD-i_bOLZ1E/s1600/party-1458869_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Spot The Liar Among" border="0" data-original-height="640" data-original-width="1280" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiyq7RIaptabhfzloGKrMje5wnPyhPvJG_Rg5OROTePibG5tKI-1Q0n8AR9meQSDyP-m3e19KFEwxjWS3pQ7iB_xda1vMzq8q5OUYF4IDEzXr29iJkz3yt1lhbtjfBoGhdiBD-i_bOLZ1E/s400/party-1458869_1280.png" title="Spot The Liar Among" width="400" /></a></div>
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<br />
<span face=""Trebuchet MS", sans-serif"><b><span face=""Trebuchet MS", sans-serif"><a href="https://spirit-of-genius.blogspot.com/2020/04/knowing-number-of-liars.html" target="_blank">Know the total number of liars here!</a> </span></b></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""Trebuchet MS", sans-serif"><b><span face=""Trebuchet MS", sans-serif"><br /></span></b></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""Trebuchet MS", sans-serif"><b><span face=""Trebuchet MS", sans-serif"><a href="https://goodriddlesnow.com/riddles/by/logic-riddles/page:11/sort:difficulty/direction:desc" target="_blank"><span style="font-size: x-small;">Source </span></a><br /></span></b></span></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-21250770294176639512024-02-15T11:46:00.000+05:302024-02-15T11:46:00.404+05:30Knowing The Number of Liars<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<b><span style="font-family: "trebuchet ms" , sans-serif;"><a href="https://spirit-of-genius.blogspot.com/2020/04/spot-liar-among.html" target="_blank">What is the question?</a></span></b><br />
<br />
<span style="font-family: "trebuchet ms" , sans-serif;">The information that we have - </span><br />
<br />
<span style="font-family: "trebuchet ms" , sans-serif;">1. At least one of them is honest.</span><br />
<span style="font-family: "trebuchet ms" , sans-serif;"><br />
2. If you take any two politicians, at least one of them is a liar. </span><b><span style="font-family: "trebuchet ms" , sans-serif;"> </span></b><br />
<br />
<b><span style="font-family: "trebuchet ms" , sans-serif;">O</span></b><span style="font-family: "trebuchet ms" , sans-serif;">nly <b>one</b> of them must be <b>honest </b>and other <b>99 </b>must be <b>liars.</b> </span><br />
<br />
<span style="font-family: "trebuchet ms" , sans-serif;">Those are the only numbers that can justify the second piece of information. In the case, if any 2 are selected at least 1 of them liar while other may or may not liar (i.e. may be honest). </span><b><span style="font-family: "trebuchet ms" , sans-serif;"> </span></b><br />
<b><span style="font-family: "trebuchet ms" , sans-serif;"><br /></span></b>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5jtMbOTwiJ_scRtvzeP8zDfZ3X85FHkkIvK2PLIPBstO9kLanoNs2yCKeu0oRQPVnIt1nzQoX2YCYJlQ-xbQC-F3NNYBPVEQ8pKoaiSWUBkypd6YBGUKiDHPbs0VRIH21f9w1WKXtaPw/s1600/people-312122_1280.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Knowing Number of Liars" border="0" data-original-height="640" data-original-width="1280" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5jtMbOTwiJ_scRtvzeP8zDfZ3X85FHkkIvK2PLIPBstO9kLanoNs2yCKeu0oRQPVnIt1nzQoX2YCYJlQ-xbQC-F3NNYBPVEQ8pKoaiSWUBkypd6YBGUKiDHPbs0VRIH21f9w1WKXtaPw/s400/people-312122_1280.png" title="Knowing Number of Liars" width="400" /></a></div>
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PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-58236479668798766592023-10-30T12:27:00.000+05:302023-10-30T12:27:15.859+05:30Puzzle : The Password Challenge by Evil Troll<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="textblock">
<span face=""verdana" , sans-serif">A bridge was guarded by an evil
troll. The troll was very intelligent, but he was also a coward. He was
afraid of anyone smarter than him. So every time anyone tried to cross
the bridge, the troll would set up a test. If the traveler passed the
test, he would be allowed to cross. Otherwise, the troll would eat him.</span></div><div class="textblock">
<span face=""verdana" , sans-serif"><br />
Three travelers, <b>Al</b>, <b>Ben</b> and <b>Carl</b>, came across the bridge. </span></div><div class="textblock"><span face=""verdana" , sans-serif"><br /></span></div>
<div class="textblock">
</div>
<div class="textblock">
<span face=""verdana" , sans-serif">The troll
told them, "You may only cross my bridge if you know the password." </span></div>
<div class="textblock">
</div>
<div class="textblock">
<span face=""verdana" , sans-serif">He
wrote five three-letter words on a rock. The five words were <b>HOE</b>, <b>OAR</b>,
<b>PAD</b>, <b>TOE</b>, and <b>VAT</b>. </span>
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
He then said, "I will tell <b>each</b> of you a <b>different letter</b> from the
password. If you <b>know</b> what the password is, I will<b> let</b> you <b>pass</b>. But
don't tell anyone else your letter." </span></div><div class="textblock"><span face=""verdana" , sans-serif"><br /></span></div>
<div class="textblock">
</div>
<div class="textblock">
<span face=""verdana" , sans-serif">He then whispered a letter from the
password to each traveler so that neither of the other two could hear
him. </span>
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
Then the troll asked <b>Al</b>, "Do you know what the password is?" "<b>Yes</b>," said Al, and the troll let him pass.</span>
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
Then the troll asked <b>Ben</b>, "Do you know what the password is?" "<b>Yes</b>," said Ben, and the troll let him pass.</span><br />
<span face=""verdana" , sans-serif"> </span>
<span face=""verdana" , sans-serif"><br />
Then the troll asked <b>Carl</b>, "Do you know what the password is?" "<b>Yes</b>," said Carl, and the troll let him pass.</span>
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
So, what is the password?</span><br />
<br />
<b><span face=""verdana" , sans-serif"><a href="https://spirit-of-genius.blogspot.com/2020/07/intelligent-response-to-evil-troll.html" target="_blank">THIS is the correct password!</a> </span></b><br />
<br />
<b><span face=""verdana" , sans-serif"><a href="https://spirit-of-genius.blogspot.com/2023/10/puzzle-evil-troll-on-bridge.html" target="_blank">One more such challenge by an evil troll!</a> </span></b><br />
<br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgxGT2qUmDDuFOfhpIdM0-T_JVJMG2RWcJhiXpepH1xWH6n71LB60FEfeMx2YIk9R2zb55cYcVqnd753A9kzMDSWzx5KBCt4d4t2bTZWd9jlR5kusWasoU6g08o7peRGmLrv7Gts80Rg7FP905t9PJkyG6sw2m3Vgh4bdwZsxYtR15V_jZshedA0gu5ks/s1280/person-5009511_1280.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="737" data-original-width="1280" height="184" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgxGT2qUmDDuFOfhpIdM0-T_JVJMG2RWcJhiXpepH1xWH6n71LB60FEfeMx2YIk9R2zb55cYcVqnd753A9kzMDSWzx5KBCt4d4t2bTZWd9jlR5kusWasoU6g08o7peRGmLrv7Gts80Rg7FP905t9PJkyG6sw2m3Vgh4bdwZsxYtR15V_jZshedA0gu5ks/s320/person-5009511_1280.png" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div>
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PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-57477746240836130872023-10-30T12:18:00.004+05:302023-10-30T12:23:33.121+05:30Solution : Intelligent Response to an Evil Troll<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<span face=""verdana" , sans-serif"><b><a href="https://spirit-of-genius.blogspot.com/2020/07/the-password-challenge-by-evil-troll.html" target="_blank">What was the challenge?</a></b></span><br />
<br />
<span face=""verdana" , sans-serif">The list of words given by evil troll is - </span><br />
<br />
<span face=""verdana" , sans-serif"><span style="color: #351c75;"><b>HOE</b></span>, <span style="color: #351c75;"><b>OAR</b></span>,<span style="color: #351c75;"><b> PAD</b></span>, <span style="color: #351c75;"><b>TOE</b></span>, and <span style="color: #351c75;"><b>VAT</b></span></span><br />
<br />
<span face=""verdana" , sans-serif">Remember, all travelers i.e. <span style="color: #444444;">Al</span>, <span style="color: #444444;">Ben</span> and <span style="color: #444444;">Carl</span> knew the correct password straightaway as soon as evil troll whispered a letter from the password to each traveler. </span><br />
<br />
<span style="color: #0b5394;"><span style="color: #990000;"><b><span face=""verdana" , sans-serif"><span style="font-size: large;">STEPS :</span> </span></b></span></span><br />
<span face=""verdana" , sans-serif"><br /></span>
<span face=""verdana" , sans-serif"><span style="color: #134f5c;"><b><span style="font-size: small;">1]</span></b></span> The <b>unique</b> letters (i.e. letters appearing only once) in above list of words are <span style="color: #351c75;">D</span>, <span style="color: #351c75;">H</span>, <span style="color: #351c75;">P</span>, <span style="color: #351c75;">R</span> and <span style="color: #351c75;">V</span>. The evil troll must have one of these letters to Al, as Al could guess the correct password straightaway. </span><br />
<span face=""verdana" , sans-serif"><br /></span>
<span face=""verdana" , sans-serif">The word <span style="color: red;"><b>TOE</b></span> doesn't have any unique letter, hence, <span style="color: red;">TOE</span> is <span style="color: red;">eliminated </span>straightaway. </span><br />
<span face=""verdana" , sans-serif"><br /></span>
<span face=""verdana" , sans-serif">Had Evil troll whispered any letter from <span style="color: red;">TOE</span> (i.e. T, O or E), then Al wouldn't have an idea whether the correct password is TOE or VAT, HOE or TOE or OAR, HOE or TOE.</span><br />
<span face=""verdana" , sans-serif"><br /></span>
<span face=""verdana" , sans-serif"><span style="color: #134f5c;"><b><span style="font-size: small;">2]</span></b></span> Now, <b>Ben</b> is smart enough to know that <span style="color: red;">TOE</span> is eliminated from the race after Al's response. He has to think about<b> only four</b> words i.e. about </span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: #351c75;"><b>HOE</b></span>, <span style="color: #351c75;"><b>OAR</b></span>, <span style="color: #351c75;"><b>PAD</b></span>, <span style="color: #351c75;"><b>VAT.</b></span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><br /></span></span>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">The unique letters appearing in rest of words list are </span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span style="color: #351c75;">D</span>, <span style="color: #351c75;">E</span>, <span style="color: #351c75;">H</span>, <span style="color: #351c75;">P</span>, <span style="color: #351c75;">R</span>, <span style="color: #351c75;">T</span>, and <span style="color: #351c75;">V</span>. One of these letters must be with <b>Al </b>and other must be with <b>Ben. </b></span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><br /></span></span></span>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock">But the word <span style="color: red;">OAR</span> has only one unique letter i.e. R. If <span style="color: red;">OAR</span> was the password then only 1 of 3 travelers would have guessed the password correctly while other 2 would have been confused.</span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><br /></span></span></span>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock">Therefore, <span style="color: red;"><b>OAR</b></span> can't be the password.</span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><br /></span></span></span>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span style="color: #134f5c;"><b><span style="font-size: small;">3]</span></b></span> <b>Carl</b> too smart enough to recognize that<span style="color: red;"> OAR</span> and <span style="color: red;">TOE</span> are not the correct passwords. So, he has to think of only 3 words - </span></span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: #351c75;"><b>HOE</b></span>,<span style="color: #351c75;"><b> PAD</b></span>, <span style="color: #351c75;"><b>VAT.</b></span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">Here, unique letters from the list of words are - </span></span></span></span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span style="color: #351c75;">D</span>, <span style="color: #351c75;">E</span>, <span style="color: #351c75;">H</span>, <span style="color: #351c75;">O</span>,<span style="color: #351c75;"> P</span>, <span style="color: #351c75;">T</span>, and <span style="color: #351c75;">V</span>.</span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock">Every traveler must have <b>one unique</b> letter from the above list. In fact, the password itself must be formed by only unique letters from the above list.</span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock">Words <span style="color: red;"><b>PAD</b></span> and <span style="color: red;"><b>VAT</b></span> has only 2 unique letters ( P & D, V & T respectively).</span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock">So, if <span style="color: red;">PAD</span> or <span style="color: red;">VAT</span> was the correct password then the one with letter A wouldn't have been able to guess the correct password.</span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock">Hence, <span style="color: #351c75;"><b>HOE</b></span> must be the <span style="color: #351c75;"><b>correct </b></span>password. </span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span style="color: #134f5c;"><b>4]</b></span> The letter<b> <span style="color: #351c75;">H</span></b> must be with <b>Al</b> as T, O, E can't be with him. Similarly, <b>Ben</b> can't have letter<b> O</b>, so he must had letter <span style="color: #351c75;"><b>E</b></span> and he knows TOE is not the password after hearing Al's response. And the letter<b> <span style="color: #351c75;">O</span></b> must be with <b>Carl</b> and he knows <span style="color: red;">TOE</span> or <span style="color: red;">OAR</span> are not the passwords.</span></span></span></span></span></span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAHn-xVYTmdLNrXFjt1ZdKzpCaMlgh_NYrihJQ5Ur9e6xG4scbnsC59c2qsmiG0vQRZtZdSVEl6EtlpBBVaCOdCyQz1vkLlgNsaaA5gah_gCysPOD0JBYZbzc-7kRxcNrsfGPniPH2s94/s1600/excited-23789_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Intelligent Response to an Evil Troll" border="0" data-original-height="946" data-original-width="1280" height="236" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgAHn-xVYTmdLNrXFjt1ZdKzpCaMlgh_NYrihJQ5Ur9e6xG4scbnsC59c2qsmiG0vQRZtZdSVEl6EtlpBBVaCOdCyQz1vkLlgNsaaA5gah_gCysPOD0JBYZbzc-7kRxcNrsfGPniPH2s94/s320/excited-23789_1280.png" title="Intelligent Response to an Evil Troll" width="320" /></a></div>
</div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-74874439460221999582023-10-11T12:27:00.001+05:302023-10-11T12:27:53.996+05:30Puzzle : An Evil Troll on A Bridge <div dir="ltr" style="text-align: left;" trbidi="on">
<span face=""verdana" , sans-serif">A bridge was guarded by an evil troll. The troll was very intelligent,
but he was also a coward. He was afraid of anyone <b>smarter</b> than him. So
every time anyone tried to cross the bridge, the troll would set up a
test. If the traveler passed the test, he would be allowed to cross.
Otherwise, the troll would eat him.</span>
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
A traveler came across the bridge. </span><br />
<br />
<span face=""verdana" , sans-serif">The troll said,<i> "You may only cross
my bridge if you know the <b>password</b>."</i> </span><br />
<br />
<span face=""verdana" , sans-serif">He then wrote thirteen pairs of
letters on a rock:</span>
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
A-V<br />
B-W<br />
C-Q<br />
D-M<br />
E-K<br />
F-U<br />
G-N<br />
H-P<br />
I-O<br />
J-R<br />
L-X<br />
S-T<br />
Y-Z</span>
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
<i>"These <b>thirteen</b> pairs consist of all<b> 26</b> letters of the alphabet,"</i> said
the troll. </span><br />
<br />
<span face=""verdana" , sans-serif"><i>"The password contains thirteen letters, no two of which are
the same. Each pair consists of <b>one letter</b> that is in the <b>password</b> and
<b>one other letter.</b> If you wrote out the<b> "other"</b> letters in<b> alphabetical </b>
order and then wrote each<b> "password" </b>letter under each one's
corresponding "other" letter, you would have the <b>correct spelling</b> of the
password."</i></span><i>
</i><span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
Then the troll wrote five short words on the rock: <b>FACE, QUEST, QUICK,
SWITCH,</b> and <b>WORLD.</b> </span><br />
<br />
<span face=""verdana" , sans-serif"><i>"Each short word contains exactly the<b> same number</b> of
letters with the password,"</i> he said.</span>
<br />
<span face=""verdana" , sans-serif"><br />
So, what is the password? </span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""verdana" , sans-serif"><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1q1IZKuxPsn58xE3t2kJfBV_QCu5ZqU69hXjmaX19GHlundg85PK_ltbgnPkGyS0anNYf2tnuhdT70MH6xA5XT4fLdDyyj1v2PH57y88SU9O6WjzLn7tvACPIO9POmYG9D9f3eawyt90yuJgSE1p0jHSPoPKXU1xiuCC7gKfZMn0TjOLGaC6097exOLg/s1280/person-5009511_1280.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="737" data-original-width="1280" height="184" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh1q1IZKuxPsn58xE3t2kJfBV_QCu5ZqU69hXjmaX19GHlundg85PK_ltbgnPkGyS0anNYf2tnuhdT70MH6xA5XT4fLdDyyj1v2PH57y88SU9O6WjzLn7tvACPIO9POmYG9D9f3eawyt90yuJgSE1p0jHSPoPKXU1xiuCC7gKfZMn0TjOLGaC6097exOLg/s320/person-5009511_1280.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://spirit-of-genius.blogspot.com/2023/10/solution-evil-troll-on-bridge-puzzle.html" target="_blank"><b>HERE is that PASSWORD!</b></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.braingle.com/brainteasers/52128/the-troll-bridge-3.html" target="_blank">Source </a><br /></div><br /><span face=""verdana" , sans-serif"><br /></span></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-5815224914745295692023-10-11T12:19:00.007+05:302023-10-11T12:19:55.470+05:30Solution : An Evil Troll on A Bridge Puzzle : Solution<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<span face=""verdana" , sans-serif"><a href="https://spirit-of-genius.blogspot.com/2023/10/puzzle-evil-troll-on-bridge.html" target="_blank"><b>What was the Puzzle? </b></a><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""verdana" , sans-serif"><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""verdana" , sans-serif">The thirteen pairs of letters given by an evil troll are -</span><br />
<span face=""verdana" , sans-serif"><br /></span>
<span face=""verdana" , sans-serif">A-V<br />
B-W<br />
C-Q<br />
D-M<br />
E-K<br />
F-U<br />
G-N<br />
H-P<br />
I-O<br />
J-R<br />
L-X<br />
S-T<br />
Y-Z</span><br />
<br />
<span face=""verdana" , sans-serif">And 5 short words given by troll are - </span><span face=""verdana" , sans-serif"> FACE, QUEST, QUICK, SWITCH, and WORLD. </span></div><div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<span face=""verdana" , sans-serif">As described in the given details, we'll refer letter from password as <span style="color: #6aa84f;"><b>PASSWORD</b></span> letter & other as <span style="color: red;"><b>OTHER</b></span> letter.</span></div><div dir="ltr" style="text-align: left;" trbidi="on"><br /></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""verdana" , sans-serif"></span>As per troll, those short words are having same number of <span style="color: #6aa84f;">PASSWORD</span> letters.<br />
<br />
<span style="color: #3d85c6;"><b><span face=""verdana" , sans-serif">STEPS :</span></b></span><br />
<br />
<span face=""verdana" , sans-serif"><b>1]</b> Both <b>S</b> & <b>T</b> are appearing in the pair with each other. Hence, either <b>S </b>or <b>T</b> must be a <span style="color: #6aa84f;">PASSWORD</span> letter but not <span style="color: red;">both.</span> Since, both letters are appearing in short word QUEST, that is QUEST having at least 1 PASSWORD letter for sure hence, all <b>5</b> must have <b>at least 1 <span style="color: #6aa84f;">PASSWORD</span></b> letter.</span><br />
<br />
<span face=""verdana" , sans-serif"><b>2]</b> Suppose every short word has <b>1</b> <span style="color: #6aa84f;">PASSWORD</span> letter. With S or T as 1 PASSWORD letter from QUEST, other letters Q, U, E can't be PASSWORD letters. </span><br />
<br />
<span face=""verdana" , sans-serif">If Q, U, E are not PASSWORD letters then C (from C-Q pair), F (from F-U pair) and K (from E-K pair) must be PASSWORD letters. </span><br />
<span face=""verdana" , sans-serif"><br /></span>
<span face=""verdana" , sans-serif">In that case, <b>FACE</b> will have <span style="color: #6aa84f;"><b>2</b></span> <span style="color: #6aa84f;">PASSWORD</span> letters viz. C & E which goes against our assumption of having exactly 1 <span style="color: #6aa84f;">PASSWORD</span> letter in each short word. </span><br />
<br />
<span face=""verdana" , sans-serif"><b>3]</b> </span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">Let's
assume along with S or T the second <span style="color: #6aa84f;">PASSWORD</span> letter is <b>E</b> i.e each short word has <span style="color: #6aa84f;"><b>2</b> PASSWORD</span> letters. Again, Q, U
can't be PASSWORD letters but C (</span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">from C-Q pair) </span></span></span>& F </span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">(from F-U pair)</span></span></span> must be. Still then <b>FACE</b> will
have <b>3</b> <span style="color: #6aa84f;">PASSWORD</span> letters which goes against our assumption of exactly 2 </span></span><span style="color: #6aa84f;">PASSWORD</span> letter in each short word. </div><div dir="ltr" style="text-align: left;" trbidi="on"><br />
<span face=""verdana" , sans-serif"><b>4]</b> Now, let's assume along with S or T the second <span style="color: #6aa84f;">PASSWORD </span>letter is <b>U.</b> Again, Q, E can't be <span style="color: #6aa84f;">PASSWORD</span> letters but C </span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">(</span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">from C-Q pair)</span></span></span></span></span> & K</span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"> (from E-K pair)</span></span></span> must be. Still then <b>QUICK</b> will have<b> 3</b> <span style="color: #6aa84f;">PASSWORD</span> letters which goes against our assumption </span><span face=""verdana" , sans-serif">of exactly 2 </span><span style="color: #6aa84f;">PASSWORD</span> letter in each short word. <br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>5]</b> Let's assume there are <b>4</b> <span style="color: #6aa84f;">PASSWORD</span> letters in each short word. So apart from S or T, the letters Q, U, E of short word QUEST must be <span style="color: #6aa84f;">PASSWORD</span> letters. </span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><br /></span></span>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">If Q, U, E are <span style="color: #6aa84f;">PASSWORD</span> letters then C (from C-Q pair), F (from F-U pair) and K (from E-K pair) must NOT be the <span style="color: #6aa84f;">PASSWORD</span> letters. </span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><br /></span></span></span>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">In the case, the short word<b> FACE</b> will have<b> maximum </b>only <b>2</b> <span style="color: #6aa84f;">PASSWORD</span> letters (not sure about A from A-V pair) which again goes against our assumption </span></span></span><span face=""verdana" , sans-serif">of exactly 4 </span><span style="color: #6aa84f;">PASSWORD</span> letter in each short word. <br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>6]</b> Hence, each short word must be having <b>3</b> <span style="color: #6aa84f;">PASSWORD</span> letters. </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">If <b>Q</b>, <b>E</b> are the <span style="color: #6aa84f;">PASSWORD</span> letters with S or T in QUEST, then C & K can't be PASSWORD letters. With that, Q, U, I will be <b>3</b> <span style="color: #6aa84f;">PASSWORD</span> letters in QUICK. And if U too is the <span style="color: #6aa84f;">PASSWORD</span> letter then <b>QUEST</b> will have <b>4</b> <span style="color: #6aa84f;">PASSWORD </span>letters. </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">If <b>Q</b>, <b>U</b> are the <span style="color: #6aa84f;">PASSWORD</span> letters with S or T in QUEST, then C & F can't be <span style="color: #6aa84f;">PASSWORD</span> letters. With that,<b> FACE</b> can have <b>maximum</b> of only <b>1</b> <span style="color: #6aa84f;">PASSWORD</span> letter. </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>7]</b> Hence, <span style="color: #6aa84f;"><b>U</b></span> & <span style="color: #6aa84f;"><b>E</b></span> must be other 2 <span style="color: #6aa84f;">PASSWORD</span> letters apart from S or T in short word QUEST. So <span style="color: red;"><b>Q</b></span> must not be the<span style="color: #6aa84f;"> PASSWORD</span> letter but <span style="color: #6aa84f;"><b>C</b></span> must be. Also, <b><span style="color: red;">F</span></b> and <b><span style="color: red;">K</span></b> can't be the <span style="color: #6aa84f;">PASSWORD </span>letters. Hence, <b>FACE</b> will have <span style="color: #6aa84f;">E</span>, <span style="color: #6aa84f;">C</span> and <span style="color: #6aa84f;"><b>A</b></span> as <span style="color: #6aa84f;">PASSWORD</span> letters. </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">If A is <span style="color: #6aa84f;">PASSWORD</span> letter then <span style="color: red;"><b>V</b></span> (from A-V pair) can't be the <span style="color: #6aa84f;">PASSWORD</span> letter.</span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>8]</b> Next, from <b>QUICK</b> we will have, <span style="color: #6aa84f;">C</span>, <span style="color: #6aa84f;">U</span> and obviously <span style="color: #6aa84f;"><b>I</b></span> as 3 <span style="color: #6aa84f;">PASSWORD</span> letters after <span style="color: red;">Q</span>,<span style="color: red;"> K</span> are ruled out. If<span style="color: #6aa84f;"> I</span> is <span style="color: #6aa84f;">PASSWORD</span> letter then <span style="color: red;"><b>O</b></span> (from I-O pair) can't be </span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">the <span style="color: #6aa84f;">PASSWORD</span> letter.</span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>9]</b> Just like QUEST, <b>SWITCH</b> too have either S or T as <span style="color: #6aa84f;">PASSWORD</span> letter. Moreover, it has <span style="color: #6aa84f;">I </span>& <span style="color: #6aa84f;">C</span> as <span style="color: #6aa84f;">PASSWORD</span> letters. Hence, <b><span style="color: red;">H</span></b> & <b><span style="color: red;">W</span></b> must not be the <span style="color: #6aa84f;">PASSWORD</span> letters.</span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>10]</b> So, if <span style="color: red;">W</span> & <span style="color: red;">O</span> are not the <span style="color: #6aa84f;">PASSWORD</span> letters then other 3 letters of <b>WORLD</b> i.e. <span style="color: #6aa84f;"><b>R</b></span>, <span style="color: #6aa84f;"><b>L</b></span>,<span style="color: #6aa84f;"><b> D</b></span> must be <span style="color: #6aa84f;">PASSWORD</span> letters. With that </span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: red;"><b>M</b></span> (from D-M pair),<span style="color: red;"><b> J</b></span> (from J-R pair) and <span style="color: red;"><b>X</b></span> (from L-X pair) are ruled out.</span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>11]</b> So far we have got - </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: #6aa84f;"><b>PASSWORD</b></span> letters - <span style="color: #6aa84f;">U, E, C, A, I, R, L, D,</span> Either S or T.</span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: red;"><b>OTHER</b></span> letters - <span style="color: red;">Q, F, K, V, O, H, W, M, J, X </span> </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>12]</b> Arranging every OTHER letter in <b>alphabetical</b> order & writing down corresponding PASSWORD letter below it -</span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: red;"><b>OTHER :</b> </span> </span></span><span style="color: red;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock">F H J K M O Q V W X</span></span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span style="color: #6aa84f;"><b>PASS. :</b></span> </span></span></span><span style="color: #6aa84f;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span class="textblock">U P R E D I C A B L</span></span> </span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>13]</b> Now, <b>S-T</b>, <b>G-N</b>, <b>Y-Z</b> are the only 3 pairs left. And correct placement for these pairs must be like.</span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: red;"><b>OTHER :</b></span> </span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span style="color: red;">F G H J K M O Q S V W X Z</span></span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span style="color: #6aa84f;"><b>PASS. :</b></span> </span></span></span><span style="color: #6aa84f;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span class="textblock">U N P R E D I C T A B L Y</span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span class="textblock"><span style="color: #3d85c6;"><b>CONCLUSION :</b></span> </span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span class="textblock">The <span style="color: #6aa84f;"><b>PASSWORD</b></span> that an evil troll has set must be <span style="color: #674ea7;"><b>UNPREDICTABLY</b></span>. </span></span></span></span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhysT82HRe3T3TlhAvh5En4ndVtV4FVgJDbkKFEB1rN2qRTUmMnUgV9o81IXRULTUkA_XTN7mHkc-XB5CDgRtOOCdwU4P91LczeLNMXnOGacWaMxYDWZjmnGjWu3gEAR9w51-hrH1QiYM/s1600/success-4423338_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="An Evil Troll on A Bridge Puzzle : Solution" border="0" data-original-height="1280" data-original-width="640" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhysT82HRe3T3TlhAvh5En4ndVtV4FVgJDbkKFEB1rN2qRTUmMnUgV9o81IXRULTUkA_XTN7mHkc-XB5CDgRtOOCdwU4P91LczeLNMXnOGacWaMxYDWZjmnGjWu3gEAR9w51-hrH1QiYM/s320/success-4423338_1280.png" title="An Evil Troll on A Bridge Puzzle : Solution" width="160" /></a></div>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span class="textblock"><span class="textblock"> </span></span> </span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"> </span> </span></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-28751640266103699132023-10-02T11:32:00.002+05:302023-10-02T11:32:21.317+05:30Puzzle : "Who Stole My Purse?"<div dir="ltr" style="text-align: left;" trbidi="on">
<span face=""trebuchet ms" , sans-serif">An elementary school teacher had her purse stolen.
The thief had to be Lilian, Judy, David, Theo, or Margaret. When
questioned, each child made three statements: </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">
</span><span face=""trebuchet ms" , sans-serif"><b>Lilian:</b><br />
(1) I didn’t take the purse.<br />
(2) I have never in my life stolen anything.<br />
(3) Theo did it. </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">
</span><span face=""trebuchet ms" , sans-serif"><b>Judy:</b><br />
(4) I didn’t take the purse.<br />
(5) My daddy is rich enough, and I have a purse of my own.<br />
(6) Margaret knows who did it. </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">
</span><span face=""trebuchet ms" , sans-serif"><b>David:</b><br />
(7) I didn’t take the purse.<br />
(8) I didn’t know Margaret before I enrolled in this school.<br />
(9) Theo did it. </span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVvOeGQSHmUJJU509f_pXObfEvjb7k95IhuL7htva60En5tmeEYUnkfTs9GF3k80Fq-9PamwjIu1dJt0G30hTt81tOozZVqGBvnfiERD5uILKXCtAxet936pZucKamfB8oi3jgTR_6j0Q/s1600/51.png" style="margin-left: 1em; margin-right: 1em;"><img alt=""Who Stole My Purse?"" border="0" data-original-height="1280" data-original-width="772" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgVvOeGQSHmUJJU509f_pXObfEvjb7k95IhuL7htva60En5tmeEYUnkfTs9GF3k80Fq-9PamwjIu1dJt0G30hTt81tOozZVqGBvnfiERD5uILKXCtAxet936pZucKamfB8oi3jgTR_6j0Q/s200/51.png" title=""Who Stole My Purse?"" width="120" /></a></div>
<br />
<br />
<span face=""trebuchet ms" , sans-serif">
</span><span face=""trebuchet ms" , sans-serif"><b>Theo:</b><br />
(10) I am not guilty.<br />
(11) Margaret did it.<br />
(12) Lillian is lying when she says I stole the purse. </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">
</span><span face=""trebuchet ms" , sans-serif"><b>Margaret:</b><br />
(13) I didn’t take the teacher’s purse.<br />
(14) Judy is guilty.<br />
(15) David can vouch for me because he has known me since I was born. </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">
</span><span face=""trebuchet ms" , sans-serif">Later, each child admitted that <b>two</b> of his statements were <b>true</b> and one was false. Assuming this is true, who stole the purse?</span><br />
<br />
<b><span face=""trebuchet ms" , sans-serif"><a googl="true" href="https://spirit-of-genius.blogspot.com/2023/10/finally-got-my-stolen-purse.html" target="_blank">Here is name of the <span face=""trebuchet ms" , sans-serif">thief</span>!</a> </span></b><br />
</div><div dir="ltr" style="text-align: left;" trbidi="on"><b><span face=""trebuchet ms" , sans-serif"><br /></span></b></div><div dir="ltr" style="text-align: left;" trbidi="on"><b><span face=""trebuchet ms" , sans-serif"><a href="https://www.futilitycloset.com/2009/11/11/a-crime-story/" target="_blank">Source</a><br /></span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-70029919606461799392023-10-02T11:29:00.004+05:302023-10-02T11:31:24.320+05:30"Finally Got My Stolen Purse!"<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<b><span face=""Trebuchet MS",sans-serif"><a href="https://spirit-of-genius.blogspot.com/2023/10/puzzle-who-stole-my-purse.html" target="_blank">How it was stolen?</a></span></b><br />
<br />
<span face=""Trebuchet MS",sans-serif" googl="true">Let's recollect all the statements given by all accused.</span><br />
<span face=""Trebuchet MS",sans-serif" googl="true"><br /></span>
<span face=""Trebuchet MS",sans-serif">
</span><span face=""Trebuchet MS",sans-serif"><b>Lilian:</b><br />
(1) I didn’t take the purse.<br />
(2) I have never in my life stolen anything.<br />
(3) Theo did it. </span><br />
<br />
<span face=""Trebuchet MS",sans-serif">
</span><span face=""Trebuchet MS",sans-serif"><b>Judy:</b><br />
(4) I didn’t take the purse.<br />
(5) My daddy is rich enough, and I have a purse of my own.<br />
(6) Margaret knows who did it. </span><br />
<br />
<span face=""Trebuchet MS",sans-serif">
</span><span face=""Trebuchet MS",sans-serif"><b>David:</b><br />
(7) I didn’t take the purse.<br />
(8) I didn’t know Margaret before I enrolled in this school.<br />
(9) Theo did it. </span><br />
<br />
<span face=""Trebuchet MS",sans-serif">
</span><span face=""Trebuchet MS",sans-serif"><b>Theo:</b><br />
(10) I am not guilty.<br />
(11) Margaret did it.<br />
(12) Lillian is lying when she says I stole the purse. </span><br />
<br />
<span face=""Trebuchet MS",sans-serif">
</span><span face=""Trebuchet MS",sans-serif"><b>Margaret:</b><br />
(13) I didn’t take the teacher’s purse.<br />
(14) Judy is guilty.<br />
(15) David can vouch for me because he has known me since I was born. </span><br />
<br />
<span face=""Trebuchet MS",sans-serif">Let's not forget that <b>2</b> of 3 statements made by each student are <b>true</b> & other is false.</span><br />
<br />
<span face=""Trebuchet MS",sans-serif">Now, Theo says he is innocent in his 2 statements - <b>(10)</b> and <b>(12)</b>. Since, 2 of his statements are true then (10) and (12) must be <b>true</b>. Hence, <b>Theo</b> is really <b>innocent</b> in case.</span><br />
<br />
<span face=""Trebuchet MS",sans-serif">If Theo is innocent then both <b>(3) </b>and<b> (9)</b> are <b>lie.</b></span><br />
<br />
<span face=""Trebuchet MS",sans-serif">If (9) is lie, then other 2 statement of David i.e.<b> (7)</b> and<b> (8)</b> are<b> true</b>. If (8) is true then <b>(15)</b> must be lie. </span><br />
<br />
<span face=""Trebuchet MS",sans-serif">And if<b> (15) </b>is lie then both <b>(13)</b> [lie in (12) also suggests same] and <b>(14) </b>must be true. </span><br />
<br />
<span face=""Trebuchet MS",sans-serif">Hence, as per <b>(14)</b>, Judy is guilty who has stolen the purse. </span><br />
<span face=""Trebuchet MS",sans-serif"><br /></span>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWvt9J-TECH1S1a_cd12fkZBDvUVbG8Rf484lNfqjhx3mpOnym-PtcZRZ_Cm-SWEEU3h1bcZZ1gayBzC7H8Lpxo-J9B5GVwTkbliJLRxg2f-BMEGqUdt9SIyslBicKqlp841ORTKt7JXQ/s1600/51a.png" style="margin-left: 1em; margin-right: 1em;"><img alt=""Finally Got My Stolen Purse!"" border="0" data-original-height="1280" data-original-width="1088" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjWvt9J-TECH1S1a_cd12fkZBDvUVbG8Rf484lNfqjhx3mpOnym-PtcZRZ_Cm-SWEEU3h1bcZZ1gayBzC7H8Lpxo-J9B5GVwTkbliJLRxg2f-BMEGqUdt9SIyslBicKqlp841ORTKt7JXQ/s200/51a.png" title=""Finally Got My Stolen Purse!"" width="170" /></a></div>
<span face=""Trebuchet MS",sans-serif"><br /></span>
<span face=""Trebuchet MS",sans-serif"><br /></span>
<span face=""Trebuchet MS",sans-serif" googl="true"></span></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-28553533367281511432023-09-04T11:34:00.000+05:302023-09-04T11:34:40.471+05:30Puzzle : The Story of 3 Dragons<div dir="ltr" style="text-align: left;" trbidi="on">
<span face=""verdana" , sans-serif">I met three dragons. One always tells the <b>truth</b>, other one always <b>lies</b> and the last one <b>alternates</b> between lie and truth. <br /><br /><b>Dragon 1:</b> You may ask us <b>one</b> question, then you must guess which dragon is which <br /><br /><b>Dragon 2:</b> He’s lying. You may get <b>three</b> questions <br /><br /><b>Dragon 3:</b> Oh no. It’s definitely <b>one </b>question <br /><br />I asked the <b>first</b> dragon a question <br /><br />Me: What would the <b>second dragon</b> say if I were to ask it if the <b>3rd dragon</b> had been lying when it <b>agreed</b> with the first one that I could ask only one question <br /><br /><b>Dragon 1:</b> He’d say, “Yes, the 3rd dragon was lying” <br /><br />Then I asked a second question addressing the three dragons…… But they remained silent. <br /><br />And, I solved the puzzle in 90 sec.</span><br />
<span face=""verdana" , sans-serif"><br />So, which dragon is which?</span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgZqcTOZhELLrx-BHQS4t8u1h-x3iZT65hY9Z8mbeihslnrG4xugvU5KAEZkglwYPior_QgGYYAIhyUiUOqOSFpWGQQv2d2SLBFkxBhAtUPvezkVsPbblK70DzNkbLhDWZpaypPDNImV0/s1600/dragon-1597583_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="The Story of 3 Dragons" border="0" data-original-height="1246" data-original-width="1280" height="311" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgZqcTOZhELLrx-BHQS4t8u1h-x3iZT65hY9Z8mbeihslnrG4xugvU5KAEZkglwYPior_QgGYYAIhyUiUOqOSFpWGQQv2d2SLBFkxBhAtUPvezkVsPbblK70DzNkbLhDWZpaypPDNImV0/s320/dragon-1597583_1280.png" title="The Story of 3 Dragons" width="320" /></a></div>
<br />
<b><span face=""verdana" , sans-serif"><a href="https://spirit-of-genius.blogspot.com/2023/09/solution-inside-story-of-3-dragons.html" target="_blank">Know the TRUTH of each dragon here!</a> </span></b></div><div dir="ltr" style="text-align: left;" trbidi="on"><b><span face=""verdana" , sans-serif"><br /></span></b></div><div dir="ltr" style="text-align: left;" trbidi="on"><b><span face=""verdana" , sans-serif"><a href="https://puzzlersworld.com/interview-puzzles/paradox-dragons/" target="_blank">Source</a><br /></span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-71632008760221064192023-09-04T11:30:00.004+05:302023-09-04T11:34:31.357+05:30Solution : Inside The Story of 3 Dragons<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<span face="Verdana, sans-serif"><b><a href="https://spirit-of-genius.blogspot.com/2023/09/puzzle-story-of-3-dragons.html" target="_blank">What was the story?</a></b></span><br />
<br />
<span face=""verdana" , sans-serif">Let's see what are key statements in the story once again.</span><br />
<br />
<span face=""verdana" , sans-serif"><b>------------------------------------</b></span><br />
<span face=""verdana" , sans-serif"><br /></span>
<span face=""verdana" , sans-serif"><b>Dragon 1:</b> You may ask us one question, then you must guess which dragon is which.</span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif"><b>Dragon 2:</b> He’s lying. You may get three questions.</span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif"><b>Dragon 3:</b> Oh no. It’s definitely one question.</span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif">I asked the first dragon a question.</span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif"><b>Me:</b> What would the second dragon say if I were to
ask it if the 3rd dragon had been lying when it agreed with the first
one that I could ask only one question?</span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif"><b>Dragon 1:</b> He’d say, “Yes, the 3rd dragon was lying”</span><br />
<br />
<span face=""verdana" , sans-serif">Then I asked a <b>second</b> question addressing the three dragons…… But they remained <b>silent.</b></span><br />
<br />
<span face=""verdana" , sans-serif"><b><span face=""verdana" , sans-serif"><b>------------------------------------</b></span></b></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">On</span><b><span face=""verdana" , sans-serif"><b> second</b></span></b><span face=""verdana" , sans-serif"> question</span><b><span face=""verdana" , sans-serif"><b>, </b></span></b><span face=""verdana" , sans-serif">they remained silent clearly indicates that <b>only 1 question</b> was allowed to ask. Hence, <b>Dragon 2</b> must be <b>lying</b> for sure.</span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">After knowing the fact that <b>Dragon 2 lied</b> in it's first statement, we know that first statements of <b>Dragon 1</b> and <b>Dragon 3</b> are true. </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">Now, there are 2 cases possible for Dragon 1 and Dragon 3.</span></span><br />
<br />
<div style="text-align: left;">
<span style="color: white;"><span style="background-color: #351c75;"><span style="font-size: small;"><b><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">CASE 1 :<span style="background-color: white;"> <span style="color: black;">Dragon 1 speaks alternate and Dragon 3 always tells the truth.</span></span></span></span></b></span></span></span></div>
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">That means the <b>Dragon 1</b> should<b> lie</b> in it's next statement given in response of my question. </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">If <b>Dragon 3</b> is always telling the <b>truth</b>, the <b>Dragon 2</b> will always say that Dragon 3 is <b>liar.</b> </span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">Let's simplify my <b>question</b> to the <b>Dragon 1</b> as - </span></span><br />
<br />
<span style="background-color: #a2c4c9;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">"What will Dragon 2 say if I ask it whether Dragon 3 is lying?" </span></span></span><br />
<span style="background-color: #a2c4c9;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><br /></span></span></span>
<span style="background-color: white;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">Now as per our logic the <b>Dragon 1</b> should <b>lie</b> in response as - </span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><br /></span></span>
<span style="background-color: #b4a7d6;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>Dragon 1: </b></span></span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">He’d say, “Nope, the 3rd dragon is telling the truth” </span></span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><br /></span></span></span>
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">This is <b>contradictory</b> the actual response given by <b>Dragon 1</b> to the question - </span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><br /></span></span></span>
<span style="background-color: #a2c4c9;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">"What will Dragon 2 say if I ask it whether Dragon 3 is lying?" </span></span></span><br />
<br />
<span style="background-color: #b4a7d6;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>Dragon 1:</b> He’d say, “Yes, the 3rd dragon was lying”</span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">Hence, <b>assumption</b> that Dragon 1 speaks alternate and Dragon 3 tells the truth goes <b>wrong </b>here.</span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="color: white;"><span style="background-color: #351c75;">CASE 2 :</span></span> <b>Dragon 1 tells the truth and Dragon 3 speaks alternate.</b></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">That means <b>Dragon 1</b> will tell <b>truth</b> in response to my question. Since, <b>Dragon 3 </b>is telling truth in it's first statement the always <b>lying Dragon 2</b> will say that <b>Dragon 3</b> is <b>lying</b> if asked about <b>Dragon 3.</b></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">This is the <b>truth</b> that<b> Dragon 1</b> tells us in response to my question as - </span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span style="background-color: #a2c4c9;">"What will Dragon 2 say if I ask it whether Dragon 3 is lying?"</span> </span></span></span></span></span><br />
<br />
<span style="background-color: #b4a7d6;"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><b>Dragon 1:</b> He’d say, “Yes, the 3rd dragon was lying”</span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">Hence, this <b>assumption </b>i.e. </span></span></span><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"> Dragon 1 tells the truth and Dragon 3 speaks alternate should be <b>correct.</b></span></span></span></span></span></span><br />
<br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif">To conclude, <b>Dragon 1</b> is telling the <b>truth</b>, <b>Dragon 2</b> always <b>lies</b> and <b>Dragon 3</b> speaks <b>alternate</b>. </span></span></span> </span></span></span><br />
<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"> </span> </span></span><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_iChdpqHtUxpYuLwrOGMFIwhbcIuUDYyx4K64t_vZQC9_hOpxue4gMviWjKIIPcQiwN7KIuC-8me3zDh5vFHoEKzJ3ER9KdYPpW1Z2vBFs6gplu8Fw_QnR2lwt7aHG323DRY-c89ALK0/s1600/Truth.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Inside The Story of 3 Dragons" border="0" data-original-height="1275" data-original-width="1280" height="318" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh_iChdpqHtUxpYuLwrOGMFIwhbcIuUDYyx4K64t_vZQC9_hOpxue4gMviWjKIIPcQiwN7KIuC-8me3zDh5vFHoEKzJ3ER9KdYPpW1Z2vBFs6gplu8Fw_QnR2lwt7aHG323DRY-c89ALK0/s320/Truth.png" title="Inside The Story of 3 Dragons" width="320" /></a></div>
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<span face=""verdana" , sans-serif"><span face=""verdana" , sans-serif"></span><b><span face=""verdana" , sans-serif"></span><br /></b></span></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-27278842851657969412023-08-25T10:56:00.002+05:302023-08-25T10:58:08.001+05:30Puzzle: A Visit to the Casino!<div dir="ltr" style="text-align: left;" trbidi="on">
<span face=""trebuchet ms" , sans-serif">There is a casino and it has <b>4 gates</b>, let say <b>A</b>, <b>B</b>, <b>C </b>and <b>D</b>. </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">Now the
condition is that every time you <b>enter</b> casino you have to<b> pay $5</b> and
every time you<b> leave</b> the casino, you again have to pay <b>$5</b>. Also,
whenever you enter the casino whatever amount you have with you will get
<b>double.</b></span><br />
<br />
<span face=""trebuchet ms" , sans-serif">Now you <b>enter</b> the casino through gate<b> A</b> and <b>come out</b> through
gate<b> B</b>, again you go <b>inside</b> casino from gate <b>C</b> and <b>come out</b> of gate <b>D</b>,
at the end of this process you should be left with <b>no money</b>? </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">So
<b>calculate how much money</b> you should carry with you when you enter the
Casino?</span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPuAVTYfx_pgXfYEqPs4fVn_fkVMIsXnqRNz1Z71qeqPPPUeECUH4CvCeLyHYmdp8rBOJ82z-lzCUHOscP3PnZVAPVKh_wNO3-kumb1qppFJW-PHlT6QBedkYT9aC4XSH2fi8mwlB5Ulk/s1600/casino-sign-4898176_1920.png" style="margin-left: 1em; margin-right: 1em;"><img alt="A Visit to the Casino!" border="0" data-original-height="1011" data-original-width="1600" height="126" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiPuAVTYfx_pgXfYEqPs4fVn_fkVMIsXnqRNz1Z71qeqPPPUeECUH4CvCeLyHYmdp8rBOJ82z-lzCUHOscP3PnZVAPVKh_wNO3-kumb1qppFJW-PHlT6QBedkYT9aC4XSH2fi8mwlB5Ulk/s200/casino-sign-4898176_1920.png" title="A Visit to the Casino!" width="200" /></a></div>
<br />
<br />
<span face=""trebuchet ms" , sans-serif"><b><a href="https://spirit-of-genius.blogspot.com/2023/08/solution-amount-needed-for-casino-visit.html" target="_blank">THIS should be the amount that you need to carry...</a></b> </span></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-17483360530746095562023-08-25T10:56:00.000+05:302023-08-25T10:56:00.970+05:30Solution: Amount Needed for a Casino Visit<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<b><span face=""Trebuchet MS", sans-serif"><a href="https://spirit-of-genius.blogspot.com/2023/08/puzzle-visit-to-casino.html" target="_blank">What is the puzzle? </a></span></b><br />
<br />
<span face=""Trebuchet MS", sans-serif">Let's suppose you have amount 'x' initially in your wallet.</span><b><span face=""Trebuchet MS", sans-serif"> </span></b><br />
<b><span face=""Trebuchet MS", sans-serif"><br /></span></b>
<b><span face=""Trebuchet MS", sans-serif">1. </span></b><span face=""Trebuchet MS", sans-serif">On <b>paying $5</b> for <b>entry</b> at gate A amount left is <span style="color: #351c75;"><span style="background-color: #ffd966;"><b>x - 5 .</b></span></span></span><br />
<span face=""Trebuchet MS", sans-serif"><br /></span><b><span face=""Trebuchet MS", sans-serif"></span></b>
<span face=""Trebuchet MS", sans-serif">2. After entry into the casino it <b>double</b> and becomes 2 </span><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">( x - 5 ) = <span style="color: #351c75;"><span style="background-color: #ffd966;"><b>2x - 10.</b></span></span></span></span><br />
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">3. For <b>exit</b> at gate B you <b>pay $5</b> and the amount left with you is 2x - 10 - 5 = <span style="color: #351c75;"><span style="background-color: #ffd966;"><b>2x - 15.</b></span></span></span></span><br />
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">4. Again, for the <b>entry</b> at gate C, you <b>pay $5</b> more. So the amount with you will be - </span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"> 2x - 15 - 5 = <span style="color: #351c75;"><span style="background-color: #ffd966;"><b>2x - 20</b></span></span>.</span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">5. The amount is <b>doubled </b>to become 2(2x - 20) = <span style="color: #351c75;"><span style="background-color: #ffd966;"><b>4x - 40</b></span></span> after the entry into casino.</span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">6. Now, you have to<b> pay $5 </b>one more time to have<b> exit</b> via gate D. Hence, the amount </span></span><br /><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">left will be 4x - 40 - 5 = <span style="color: #351c75;"><span style="background-color: #ffd966;"><b>4x - 45.</b></span></span></span></span><br />
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">7. As per given condition, the amount that you should have on exit must be<b> 0</b>.</span></span><br />
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Hence, <b>4x - 45 = 0</b> i.e. 4x = 45. Therefore, <b>x = 11.25.</b> </span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">So you should carry <b>$11.25 </b>before you enter into the casino to have $0 after exit out of the casino.</span></span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJD2i2hk7I04yOcNDpXDX7wF9nvFWQ8iZfhcRn-shFVo3VclKKrU8C2om_xJP0y_6Jdmr8UneQ3MYAiOQgDxI75tkIVNDpoZo2QZLDTOEp8KZB5k9bl1vi2vBrQ03LvKkC7bNkZaTBcgw/s1600/wallet-3721156_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Amount Needed for a Casino Visit" border="0" data-original-height="1280" data-original-width="1280" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJD2i2hk7I04yOcNDpXDX7wF9nvFWQ8iZfhcRn-shFVo3VclKKrU8C2om_xJP0y_6Jdmr8UneQ3MYAiOQgDxI75tkIVNDpoZo2QZLDTOEp8KZB5k9bl1vi2vBrQ03LvKkC7bNkZaTBcgw/s200/wallet-3721156_1280.png" title="Amount Needed for a Casino Visit" width="200" /></a></div>
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Let's verify this one with the amount at each of stages above.</span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">1. Amount = 11.25 - 5 = 6.25</span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">2. </span></span><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Amount = </span></span>2 x 6.25 = 12.50</span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">3. </span></span><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Amount = </span></span></span></span>12.50 - 5 = 7.50</span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><br /></span></span>
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">4. </span></span><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Amount = </span></span></span></span>7.50 - 5 = 2.50</span></span><br />
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">5. </span></span><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Amount = </span></span></span></span>2 x 2.50 = 5 </span></span><br />
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">6. </span></span><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Amount = </span></span></span></span>5 - 5 = 0</span></span><br />
<br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">7. </span></span><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif">Amount = </span></span></span></span>0 </span></span><br />
<span face=""Trebuchet MS", sans-serif"><span face=""Trebuchet MS", sans-serif"> </span></span><b><span face=""Trebuchet MS", sans-serif"></span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-64299317057492087602023-07-20T11:55:00.003+05:302023-07-20T11:57:38.589+05:30Puzzle : Who Stole Which Animal<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="entry-content">
<span face=""verdana" , sans-serif">A <b>horse</b>, a <b>donkey</b> and a <b>camel</b> were stolen.</span><br />
<span face=""verdana" , sans-serif"><br />
Three suspects: <b>Robert</b>, <b>Scott</b> and <b>Tommy</b>. All we know that each person
stole one animal, but we do not know who stole which. Here are the
investigation statements.</span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif"><b>Robert:</b> Tommy stole the horse.</span><br />
<span face=""verdana" , sans-serif"><br />
<b>Scott:</b> Tommy stole the donkey.</span><br />
<span face=""verdana" , sans-serif"><br />
<b>Tommy</b>: They both were lying. I did not steal the horse or the donkey.</span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif">Later on, police found out =></span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif">The man who stole the <b>camel</b> told a <b>lie.</b></span><br />
<span face=""verdana" , sans-serif"></span><br />
<span face=""verdana" , sans-serif"><br />
The man who stole the <b>horse</b> told the<b> truth.</b></span><br />
<br />
<span face=""verdana" , sans-serif">
</span><span face=""verdana" , sans-serif">Can you find out who stole which?</span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1IiU5WEhncSN6r41SXBV0CbzdnaF01FkvSnW2vrn2Gpf7zKbuzUeYYKv4ClqG1J9NZo68Is-biJ40iDiIIxqI5KTDCZm6j-Ud_oRHyuEDxERyy5SlcxyjUDfSY5OK7X8FVUEyF7XgF4o/s1600/audit-3411617_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Puzzle : Who Stole Which Animal" border="0" data-original-height="1280" data-original-width="1049" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1IiU5WEhncSN6r41SXBV0CbzdnaF01FkvSnW2vrn2Gpf7zKbuzUeYYKv4ClqG1J9NZo68Is-biJ40iDiIIxqI5KTDCZm6j-Ud_oRHyuEDxERyy5SlcxyjUDfSY5OK7X8FVUEyF7XgF4o/s200/audit-3411617_1280.png" title="Puzzle : Who Stole Which Animal" width="163" /></a></div>
<br />
<div class="separator" style="clear: both; text-align: center;">
</div>
<br />
<br />
<span face=""verdana" , sans-serif"><b><span face=""verdana" , sans-serif"><a href="https://spirit-of-genius.blogspot.com/2020/05/puzzle-who-stole-which-animal-solution.html" target="_blank">Here is SOLUTION of the puzzle!</a> </span></b></span></div><div class="entry-content"><span face=""verdana" , sans-serif"><b><span face=""verdana" , sans-serif"><br /></span></b></span></div><div class="entry-content"><span face=""verdana" , sans-serif"><b><span face=""verdana" , sans-serif"><a href="https://puzzlersworld.com/logical-puzzles/who-is-thief-puzzle-reloaded/" target="_blank">Source </a><br /></span></b></span></div>
</div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-13610877649569534352023-07-20T11:55:00.001+05:302023-07-20T11:55:44.762+05:30Solution : Who Stole Which Animal Puzzle<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<span style="font-family: "verdana" , sans-serif;"><b><a href="https://spirit-of-genius.blogspot.com/2020/05/puzzle-who-stole-which-animal.html" target="_blank">What was the puzzle?</a></b></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">Take a look at the statements of three suspects first - </span><br />
<span style="font-family: "verdana" , sans-serif;">------------------------------------------------------------</span><br />
<span style="font-family: "verdana" , sans-serif;"><br /><b></b></span>
<span style="font-family: "verdana" , sans-serif;"><b>Robert</b>: Tommy stole the horse.</span><br />
<span style="font-family: "verdana" , sans-serif;"><br />
<b>Scott</b>: Tommy stole the donkey.</span><br />
<span style="font-family: "verdana" , sans-serif;"><br />
<b>Tommy</b>: They both were lying. I did not steal the horse or the donkey.</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">------------------------------------------------------------</span></span><br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;"> </span> </span><br />
<span style="font-family: "verdana" , sans-serif;">And what the police found after investigation - </span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">---------------------------------------------------- </span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><b>1.</b> The man who stole the <b>camel </b>told a <b>lie.</b></span><br />
<span style="font-family: "verdana" , sans-serif;"><br />
<b>2.</b> The man who stole the <b>horse </b>told the <b>truth.</b></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">-----------------------------------------------------</span></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;"><b>1. </b>If the <b>Robert</b> is one who stole the <b>HORSE </b>then his statement must be <b>TRUE</b> where he say <b>Tommy</b> is the <b>HORSE</b> thief. </span></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">If there are 2 person who stole the HORSE then Scott must have stolen 2 animals i.e. CAMEL and DONKEY. But as per given data, each person stole only 1 animal.</span><br />
<span style="font-family: "verdana" , sans-serif;"><b><br /></b></span>
<span style="font-family: "verdana" , sans-serif;">Hence, <b>Robert</b> can't be a <b>HORSE thief.</b></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">2. Assuming <b>Tommy</b> is a <b>HORSE</b> thief & thereby taking his statement as <b>TRUTH.</b> But the assumption itself <b>contradicts</b> claim made by him in his statement where he says he <b>didn't</b> steal the <b>HORSE.</b> </span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">That is, <b>Tommy</b> too can't be a <b>HORSE </b>thief.</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">3. Only leftover suspect is Scott who must have stolen <b>HORSE</b>. And his statement must be <b>TRUE. </b></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">That means, <b>Tommy</b> has stolen the <b>DONKEY</b> and hence, <b>Robert </b>must be a <b>CAMEL</b> thief. </span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrQ3SnWz1RD6w2Jvel0C8-u6srge_d8hrdLMyIRvbULp6IEjIkAZeFoIGfvu9DkIXDfnWG64EekLiY6gJup_ivRySsTTqKaODzCsXT-95t8W7CxARMdq8C6aN76eBmjaCaqS9E1MbatzM/s1600/man-4347323_1280.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Puzzle : Who Stole Which Animal - SOLUTION" border="0" data-original-height="1280" data-original-width="1166" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrQ3SnWz1RD6w2Jvel0C8-u6srge_d8hrdLMyIRvbULp6IEjIkAZeFoIGfvu9DkIXDfnWG64EekLiY6gJup_ivRySsTTqKaODzCsXT-95t8W7CxARMdq8C6aN76eBmjaCaqS9E1MbatzM/s200/man-4347323_1280.png" title="Puzzle : Who Stole Which Animal - SOLUTION" width="181" /></a></div>
</div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-28049692834663885442023-07-11T11:51:00.008+05:302023-07-11T12:03:11.184+05:30Puzzle : And Escape Story of Robbers Continues<div dir="ltr" style="text-align: left;" trbidi="on">
<div googl="true">
<br />
<b><span face=""Trebuchet MS",sans-serif"><a href="https://spirit-of-genius.blogspot.com/2019/07/escape-story-of-3-robbers.html" target="_blank">Where story begins?</a></span></b><br />
<br />
<span face=""trebuchet ms" , sans-serif" googl="true">Babylas, Hilary, and Sosthenes have escaped the tower
and <b>divided </b>their treasure into three bags. But now they must <b>cross</b> a
river, and the <b>boat</b> can accommodate only<b> two</b> men at a time, or <b>one man</b>
and a <b>bag</b>. None will trust another with his bag on the shore, but they
agree that a man in the boat can be trusted to drop or retrieve a bag at
either shore, as he’ll be too busy to tamper with it.</span></div>
<div googl="true">
<br /></div>
<div googl="true">
<span face=""trebuchet ms" , sans-serif"></span></div>
<div googl="true">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtiPPF02SzVjXxt8IYEunggUbG9u9LEqjRmMkDAobuUeFkakoYQWjVwVtCzMIBo3xKK5rzOuzq93RVA4ziCqdD4AlQNKYpS7VqTKz0-56bJwMgm5Ac51WHR_orZpXn8iXqMLPbXYhYHGU/s1600/41.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="986" data-original-width="1280" height="246" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtiPPF02SzVjXxt8IYEunggUbG9u9LEqjRmMkDAobuUeFkakoYQWjVwVtCzMIBo3xKK5rzOuzq93RVA4ziCqdD4AlQNKYpS7VqTKz0-56bJwMgm5Ac51WHR_orZpXn8iXqMLPbXYhYHGU/s320/41.png" width="320" /></a></div>
<div googl="true">
<br /></div>
<div googl="true">
<span face=""trebuchet ms" , sans-serif"><span face=""trebuchet ms" , sans-serif"> How can they
cross the river?</span></span></div><div googl="true"><br /></div><div googl="true"><a href="https://www.futilitycloset.com/2012/01/04/treasure-island/" target="_blank"><b>Source</b></a>. <br />
<br />
<br />
<b><span face=""trebuchet ms" , sans-serif"><span face=""trebuchet ms" , sans-serif"><a href="https://spirit-of-genius.blogspot.com/2023/07/solution-robbers-planned-journey-across.html" target="_blank">This is how they can cross the river!</a> </span></span></b></div>
<div googl="true">
<br /></div>
<div googl="true">
<span face=""trebuchet ms" , sans-serif"><span face=""trebuchet ms" , sans-serif"> </span> </span></div>
</div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-45951264471357465192023-07-11T11:51:00.007+05:302023-07-11T12:02:33.464+05:30Solution: Robbers' Planned Journey Across the River<div dir="ltr" style="text-align: left;" trbidi="on"><div class="separator" style="clear: both; text-align: center;"><span face=""trebuchet ms" , sans-serif" style="text-align: left;"><a href="https://spirit-of-genius.blogspot.com/2019/07/and-escape-story-of-robbers-continues.html" target="_blank">Why they need a PLAN? </a><br /></span></div><div class="separator" style="clear: both; text-align: center;"><span face=""trebuchet ms" , sans-serif" style="text-align: left;"><br /></span></div><div class="separator" style="clear: both; text-align: center;"><span face=""trebuchet ms" , sans-serif" style="text-align: left;">Let's recall that </span><span face=""trebuchet ms" , sans-serif" style="text-align: left;">the boat can accommodate only two men at a time, or one man and a bag.</span></div></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""trebuchet ms" , sans-serif"><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""trebuchet ms" , sans-serif">1. Sosthenes takes his bag across the river<b> leaves</b> it at other shore & comes back.<br /></span>
<br />
<span face=""trebuchet ms" , sans-serif">2. Sosthenes takes<b> Hilari's bag </b>to the other shore & leaves it there where his own bag is already there. </span><br />
<span face=""trebuchet ms" , sans-serif"><br /></span>
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg82F22vC0lm0Wj-noiRK5-OQ3qwbPh_t8ygHfQd3uzlshsPXbS-P7LdKTW2wyhegpcKVPjdrZXab6lgqZL0aZZasrQEiqnU17BBPvcqZvn1jyCpHy97B8_5lYVxvNsEQ1UQF3hd1p_n-o/s1600/41a1.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Robbers' Planned Journey Across the River" border="0" data-original-height="395" data-original-width="614" height="128" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg82F22vC0lm0Wj-noiRK5-OQ3qwbPh_t8ygHfQd3uzlshsPXbS-P7LdKTW2wyhegpcKVPjdrZXab6lgqZL0aZZasrQEiqnU17BBPvcqZvn1jyCpHy97B8_5lYVxvNsEQ1UQF3hd1p_n-o/s200/41a1.png" title="Robbers' Planned Journey Across the River" width="200" /></a></div>
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<span face=""trebuchet ms" , sans-serif">3. Now, Hilari takes<b> Sosthenes</b> to the other shore, leaves him there & come back after recollecting own bag.</span><br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiyk-sULdnno5roea7OopO9rAQhM5Jnb9EXPpzFxzTCf1gPMvrLcquKD35z73JCOU8Gro3lUkP_IZoHbGrPBOxXkybY58QYDTAjFO3pW38B9-ThXYumvrsJiQ8Mq3ROP53BbfkjioDmDg/s1600/41a2.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Robbers' Planned Journey Across the River" border="0" data-original-height="395" data-original-width="614" height="128" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiyk-sULdnno5roea7OopO9rAQhM5Jnb9EXPpzFxzTCf1gPMvrLcquKD35z73JCOU8Gro3lUkP_IZoHbGrPBOxXkybY58QYDTAjFO3pW38B9-ThXYumvrsJiQ8Mq3ROP53BbfkjioDmDg/s200/41a2.png" title="Robbers' Planned Journey Across the River" width="200" /></a></div>
<span face=""trebuchet ms" , sans-serif"><br /></span>
<span face=""trebuchet ms" , sans-serif">4. Hilari drops <b>own bag</b> at near shore & takes <b>Babylas</b> to other shore & returns back.</span><br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDPlF_fX_6ZtrdHvQl5Escq5icIAaKMm57A_PBnqysRefvkRzoJvlk7JERYEncIR4u87nn6QdTpI1CdgjOemFIV0nNE1HpuT6gJA5V-UctbjJFI2mEXxejA_aw1vUb1ViVlcuNqNcCV1Y/s1600/41a4.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Robbers' Planned Journey Across the River" border="0" data-original-height="395" data-original-width="614" height="128" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDPlF_fX_6ZtrdHvQl5Escq5icIAaKMm57A_PBnqysRefvkRzoJvlk7JERYEncIR4u87nn6QdTpI1CdgjOemFIV0nNE1HpuT6gJA5V-UctbjJFI2mEXxejA_aw1vUb1ViVlcuNqNcCV1Y/s200/41a4.png" title="Robbers' Planned Journey Across the River" width="200" /></a></div>
<span face=""trebuchet ms" , sans-serif"><br /></span>
<span face=""trebuchet ms" , sans-serif" googl="true">5. Next, he takes <b>Babylas's bag</b> & drops it at other shore where Babylas is waiting for his bag. And Hilary returns once again.</span><br />
<span face=""trebuchet ms" , sans-serif"><br /></span>
<span face=""trebuchet ms" , sans-serif" googl="true">6. Finally, he collects his<b> own bag</b> and takes it to other shore.</span><br />
<span face=""trebuchet ms" , sans-serif"><br /></span>
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEht-HJZ9fFUdVlPT5GN-jkhkm7HvAAaUlDgA3ytapUm5BimDO2pBcD3vKvXK2G14dAwpk2mWYOGO1JScb5X88jwyJPo_X4fSU2DDSEMZKFStgqwoOKf9sjUoC45xvJOIzwzGA8cvoLUZzY/s1600/41a5.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Robbers' Planned Journey Across the River" border="0" data-original-height="395" data-original-width="614" height="128" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEht-HJZ9fFUdVlPT5GN-jkhkm7HvAAaUlDgA3ytapUm5BimDO2pBcD3vKvXK2G14dAwpk2mWYOGO1JScb5X88jwyJPo_X4fSU2DDSEMZKFStgqwoOKf9sjUoC45xvJOIzwzGA8cvoLUZzY/s200/41a5.png" title="Robbers' Planned Journey Across the River" width="200" /></a></div>
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PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-50228632387606865772023-06-06T11:57:00.000+05:302023-06-06T11:57:08.598+05:30Maze Challenge For a Rat?<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-family: "verdana" , sans-serif;">A rat is placed at the beginning of a maze and must make it to the end.
There are four paths at the start that he has an equal chance of taking:
path A takes 5 minutes and leads to the end, path B takes 8 minutes and
leads to the start, path C takes 3 minutes and leads to the end, and
path D takes 2 minutes and leads to the start.<br /><br />What is the expected amount of time it will take for the rat to finish the maze?</span><br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis8ZwV7TCTQwIRnbGCTbBquEbgQQeqFnPLiENQO17T26FyuUZYVrVRcIVvV4JwRbueMi8yynYGVaObZSOKtoTfFU3kmG4No0TOiXHwyD1ZstVhG34rZZPBJRH5t13DteQ_V6WgODNOGYk/s1600/maze-48698_1280.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Maze Challenge For a Rat?" border="0" data-original-height="688" data-original-width="1280" height="171" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis8ZwV7TCTQwIRnbGCTbBquEbgQQeqFnPLiENQO17T26FyuUZYVrVRcIVvV4JwRbueMi8yynYGVaObZSOKtoTfFU3kmG4No0TOiXHwyD1ZstVhG34rZZPBJRH5t13DteQ_V6WgODNOGYk/s320/maze-48698_1280.png" title="Maze Challenge For a Rat?" width="320" /></a></div>
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<br />
<b><span style="font-family: Verdana, sans-serif;"><a href="https://spirit-of-genius.blogspot.com/2020/04/a-rat-finishing-off-maze.html" target="_blank">This could be the average time that rat needed!</a></span></b><br />
<b><span style="font-family: Verdana, sans-serif;"> </span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-5347472932649636392023-06-06T11:56:00.000+05:302023-06-06T11:56:59.636+05:30A Rat Finishing off The Maze!<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<b><span style="font-family: "verdana" , sans-serif;"><a href="https://spirit-of-genius.blogspot.com/2020/04/maze-challenge-for-rat.html" target="_blank">The challenge ahead of rat?</a></span></b><br />
<br />
<span style="font-family: "verdana" , sans-serif;">For rat, there are 2 paths viz A (5 minutes) and C (3 minutes) leading to the end while paths B (8 minutes) and D (2 minutes) lead to the start again.</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">Since, there are 4 paths & each having equal chance of being chosen by rat, there is <b>1/4 th chance </b>for each path for to be chosen by rat.</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">Let's assume <b>T </b>be the time needed for rat to finish the maze. </span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">But if rat selects path B or D then rat need<b> T more time</b> again as these paths lead to the start of the maze again.</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">Hence,</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">T = (1/4) x A + (1/4) x B + (1/4) x C + (1/4) x D</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;">T = </span><span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">(1/4) x 5 + (1/4) x (8 + T) + (1/4) x 3 + (1/4) x (2 + T)</span></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">T = (5/4) + (2) + (T/4) + (3/4) + (1/2) + (T/4)</span></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">T = (9/2) + (T/2)</span></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">T/2 = 9/2</span></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">T = 9</span></span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;">That is rat needs <b>9 minutes </b>to finish the maze. </span></span><br />
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<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnABJaJpqlnTVfLnjAEXtHxNaH-NQ2PLn0vthU75GC4ZZ4asltk_F9-v28BMwGVxIck-Sagg0lVbckXsXKz5Y3yty117Xrjx9jVBKKjODfcgCIMsaRIpY8mdJw1hdsh4umD8UxL5dzz-o/s1600/rat-1300614_1280.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="A Rat Finishing off The Maze!" border="0" data-original-height="1280" data-original-width="838" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnABJaJpqlnTVfLnjAEXtHxNaH-NQ2PLn0vthU75GC4ZZ4asltk_F9-v28BMwGVxIck-Sagg0lVbckXsXKz5Y3yty117Xrjx9jVBKKjODfcgCIMsaRIpY8mdJw1hdsh4umD8UxL5dzz-o/s320/rat-1300614_1280.png" title="A Rat Finishing off The Maze!" width="209" /></a></div>
<span style="font-family: "verdana" , sans-serif;"><span style="font-family: "verdana" , sans-serif;"> </span></span><b><span style="font-family: "verdana" , sans-serif;"> </span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-62212071801448092332023-06-06T11:48:00.002+05:302023-06-06T11:50:38.560+05:30A World Class Swimmer's Puzzle<div dir="ltr" style="text-align: left;" trbidi="on">
<span face=""trebuchet ms" , sans-serif">A world-class swimmer can swim at <b>twice</b> the speed of the prevailing
tide.</span><br />
<br />
<span face=""trebuchet ms" , sans-serif">She swims out to a buoy and back again, taking <b>four minutes</b> to
make the round-trip.</span><br />
<br />
<span face=""trebuchet ms" , sans-serif">How long would it take her to make the identical
swim in<b> still</b> water?</span><br />
<br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiu7ARzNjqdp6yb79BsaBPhdgFyhcsfJwKGA7HJVfbirwQNSLUE5QnebvQoAzcqbWCCsOABc-MGNTSPkGuf8FiN0QwHxZIvK3yAXYmmATkApF7aCTVrxems2Ejnhl_BxAeF1EoOLoZIHIo/s1600/swimmer-309596_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="A World Class Swimming" border="0" data-original-height="684" data-original-width="1280" height="171" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiu7ARzNjqdp6yb79BsaBPhdgFyhcsfJwKGA7HJVfbirwQNSLUE5QnebvQoAzcqbWCCsOABc-MGNTSPkGuf8FiN0QwHxZIvK3yAXYmmATkApF7aCTVrxems2Ejnhl_BxAeF1EoOLoZIHIo/s320/swimmer-309596_1280.png" title="A World Class Swimming" width="320" /></a></div>
<br />
<b><span face=""Trebuchet MS", sans-serif"><br /></span></b></div><div dir="ltr" style="text-align: left;" trbidi="on"><b><br /></b></div><div dir="ltr" style="text-align: left;" trbidi="on"><b><span face=""Trebuchet MS", sans-serif"><a href="https://spirit-of-genius.blogspot.com/2020/04/swimming-in-still-water.html" target="_blank">Click here for the answer!</a></span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-68599919882899661122023-06-06T11:41:00.003+05:302023-06-06T11:51:32.024+05:30Solution of A World Class Swimmer's Puzzle<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<b><span face=""trebuchet ms" , sans-serif"><a href="https://spirit-of-genius.blogspot.com/2020/04/a-world-class-swimming.html" target="_blank">What was the puzzle?</a></span></b><br />
<br />
<b><span face=""trebuchet ms" , sans-serif"> </span></b><span face=""trebuchet ms" , sans-serif">Let <b>C</b> be the<b> speed of water</b> current then the speed of a world class swimmer will be <b>2C.</b></span><br />
<span face=""trebuchet ms" , sans-serif"><br /></span><b><span face=""trebuchet ms" , sans-serif"></span></b>
<span face=""trebuchet ms" , sans-serif">When she swims out to a buoy located at a distance say<b> D</b> and back again, the time needed is - </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">D/(C+2C) + D/(2C-C) = 4 minutes</span><br />
<br />
<b><span face=""trebuchet ms" , sans-serif">D/3C + D/C = 4</span></b><br />
<span face=""trebuchet ms" , sans-serif"></span><br />
<span face=""trebuchet ms" , sans-serif">Multiplying both the sides by 3, </span><br />
<br />
<span face=""trebuchet ms" , sans-serif">D/C + 3D/C = 12<br /><br />4D/C = 12<br /><br /><b>D/C = 3 </b></span><br />
<span face=""trebuchet ms" , sans-serif"><br />Now when she swims out to a buoy and back to shore again in <b>still water</b>, she needs only time - <br /><br /><b>D/2C + D/2C </b></span><br />
<br />
<span face=""trebuchet ms" , sans-serif">Since D/C = 3, then D/2C = 3/2</span><br />
<br />
<span face=""trebuchet ms" , sans-serif">Hence, </span><br />
<span face=""trebuchet ms" , sans-serif"> <span face=""trebuchet ms" , sans-serif"><br />D/2C + D/2C = 3/2 + 3/2 = <b>3</b>.</span></span><br />
<br />
<span face=""trebuchet ms" , sans-serif"><span face=""trebuchet ms" , sans-serif">That is, she needs only<b> 3 minutes</b> to </span></span><span face=""trebuchet ms" , sans-serif"><span face=""trebuchet ms" , sans-serif"><span face=""trebuchet ms" , sans-serif">swim out to a buoy and back to shore again in still water</span>.</span></span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBj9eBVO0si-PipEjmwghkeJxdtppMugq6oMsnoKl8wClb7eh65lm379YvZVDCAXWYY4kAbws1xeEx0UoOSm8Rj60rCDiJo4sCaxIhdzMQySin0gCvMLPhsPdgZvqCVu1qxKw6SGboBw8/s1600/buoy-149540_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Swimming in a Still Water!" border="0" data-original-height="1280" data-original-width="640" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBj9eBVO0si-PipEjmwghkeJxdtppMugq6oMsnoKl8wClb7eh65lm379YvZVDCAXWYY4kAbws1xeEx0UoOSm8Rj60rCDiJo4sCaxIhdzMQySin0gCvMLPhsPdgZvqCVu1qxKw6SGboBw8/s320/buoy-149540_1280.png" title="Swimming in a Still Water!" width="160" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
<span face=""trebuchet ms" , sans-serif"><span face=""trebuchet ms" , sans-serif"> </span> </span><br />
<span face=""trebuchet ms" , sans-serif"> </span><b><span face=""trebuchet ms" , sans-serif"></span></b><br />
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PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-73710856777656033532023-03-20T11:55:00.000+05:302023-03-20T11:55:06.933+05:30Puzzle : Set Timer without Clock?<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-family: "trebuchet ms" , sans-serif;">You are a cook in a remote area with<b> no clocks</b> or other way of keeping
time other than a <b>four-minute</b> and a<b> seven-minute</b> hourglass. On the stove
is a pot of boiling water. Jill asks you to cook a<b> nine-minute</b> egg in
exactly 9 minutes, and you know she is a perfectionist and can tell if
you undercook or overcook the egg by even a few seconds. </span><br />
<br />
<span style="font-family: "trebuchet ms" , sans-serif;">How can you
cook the egg for<b> exactly 9</b> minutes?</span><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgAuGRWMTLlUyh4y5sH8gztFD7BTam2DJ_DlRYl5bNyjzKMp9FLZ0knGvNoU_kcfM_Zpi6enXNvYo-oODI0702yi-4_i5TH3xfwJDdlMS5OSwBEJ9pxWRurAVmfeoh5TL9vx4Kanhe_F0/s1600/Hourglass.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Set Timer without Clock?" border="0" data-original-height="709" data-original-width="832" height="170" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgAuGRWMTLlUyh4y5sH8gztFD7BTam2DJ_DlRYl5bNyjzKMp9FLZ0knGvNoU_kcfM_Zpi6enXNvYo-oODI0702yi-4_i5TH3xfwJDdlMS5OSwBEJ9pxWRurAVmfeoh5TL9vx4Kanhe_F0/s200/Hourglass.png" title="Set Timer without Clock?" width="200" /></a></div>
<br />
<b><span style="font-family: "trebuchet ms" , sans-serif;"><a href="https://spirit-of-genius.blogspot.com/2020/04/setting-up-timer-without-clock.html" target="_blank">You should follow THIS process!</a> </span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-60789293604188011442023-03-20T11:54:00.003+05:302023-03-20T11:54:54.952+05:30Solution : Setting up Timer without Clock!<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<b><span face=""Trebuchet MS", sans-serif"><a href="https://spirit-of-genius.blogspot.com/2020/04/set-timer-without-clock.html" target="_blank">What was the challenge?</a></span></b><br />
<br />
<span face=""Trebuchet MS", sans-serif">We can set up a timer of 9 minutes using 4 and 7 minutes hourglass. Below is the process-</span><br />
<br />
<span face=""Trebuchet MS", sans-serif">1. Flip <b>both</b> the hourglasses and drop egg into the water. </span><br />
<br />
<span face=""Trebuchet MS", sans-serif">2. After<b> 4 minutes</b>, 4-minutes hourglass will run out. Flip and <b>reset</b> it. </span><span face=""Trebuchet MS", sans-serif">( <b>4 minutes counted </b>and 3 minutes countdown left in 7-minute hourglass).</span><br />
<br />
<span face=""Trebuchet MS", sans-serif">3. After <b>3 minutes</b>, the 7-minutes hourglass will run out while 1 minute countdown </span><span face=""Trebuchet MS", sans-serif">will be left in 4-minutes hourglass. ( So far 4 + 3 = <b>7 minutes counted</b> ). </span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""Trebuchet MS", sans-serif"><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""Trebuchet MS", sans-serif">Flip</span><span face=""Trebuchet MS", sans-serif"> the 7-minutes hourglass thereby resetting it's timer.</span><br />
<br />
<span face=""Trebuchet MS", sans-serif">4. After <b>1 minute</b>, the 4-minutes hourglass will run out. ( 4 + 3 + 1 = <b>8 minutes counted</b>). </span><br />
<br />
<span face=""Trebuchet MS", sans-serif">5. At this point of time there will be sand for 6 minutes countdown left in </span><span face=""Trebuchet MS", sans-serif">7-minutes hourglass. Just flip it so that it count exactly <b>1 more minute.</b></span><br />
<span face=""Trebuchet MS", sans-serif"> </span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""Trebuchet MS", sans-serif"><br /></span></div><div dir="ltr" style="text-align: left;" trbidi="on"><span face=""Trebuchet MS", sans-serif"></span><span face=""Trebuchet MS", sans-serif">Now, that's how 4 + 3 + 1 + 1 =<b> 9 minutes are counted</b>.</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_34L1RhuAhhyphenhyphen0Gjg2n_yM6QjoBtQNcImXgW7sm_pTJZAR2o3lAb4bPO8Y3tlxJqJ0_SGycOw5Dqwqc3-nocZhmkOiXMYbNFd-TU2iwYFyoxSqizxc3Crn6CjL7tLSZavOBaHmK_yPWhI/s1600/cook-1773638_1280.png" style="margin-left: 1em; margin-right: 1em;"><img alt="Setting up Timer without Clock!" border="0" data-original-height="1280" data-original-width="769" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_34L1RhuAhhyphenhyphen0Gjg2n_yM6QjoBtQNcImXgW7sm_pTJZAR2o3lAb4bPO8Y3tlxJqJ0_SGycOw5Dqwqc3-nocZhmkOiXMYbNFd-TU2iwYFyoxSqizxc3Crn6CjL7tLSZavOBaHmK_yPWhI/s200/cook-1773638_1280.png" title="Setting up Timer without Clock!" width="120" /></a></div>
<span face=""Trebuchet MS", sans-serif"> </span><b><span face=""Trebuchet MS", sans-serif"> </span></b></div>
PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0tag:blogger.com,1999:blog-511837615131921516.post-79002470779363173862023-03-20T11:45:00.001+05:302023-03-20T11:45:13.037+05:30Puzzle : The Logical Team Work<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-family: "verdana" , sans-serif;"><b>Thirty </b>fans hire a bus to attend a football game. On the way to the
stadium, they realize that exactly <b>half </b>of them are fans of one team and
the other half are fans of the other team. With still some way to go
before reaching the stadium, the bus develops mechanical problems and
the driver announces to his passengers that the <b>only way</b> to continue the
journey is for<b> half</b> of them to get out and <b>walk.</b> There is a huge fight
that doesn't stop until the driver speaks to them again and suggests a
way of selecting the passengers who are to get off the bus.</span>
<span style="font-family: "verdana" , sans-serif;"></span><br />
<span style="font-family: "verdana" , sans-serif;"><br />
"All of you," he said, "get into a <b>big circle.</b> When you are ready,
beginning at this spot, I'll count <b>nine</b> people clockwise. The <b>ninth </b>
person leaves the circle and continues on <b>foot.</b> Then I'll count another
nine starting from where I <b>stopped</b>, and the<b> ninth</b> person leaves the
circle and continues on<b> foot</b>. And so on until <b>fifteen</b> people have left
the circle."</span>
<span style="font-family: "verdana" , sans-serif;"></span><br />
<span style="font-family: "verdana" , sans-serif;"><br />
Suppose that you are one of the fans. How should you <b>arrange </b>all the
other fans of your team so that none of them will have to leave?</span><br />
<br />
<span style="font-family: "verdana" , sans-serif;"><b><a href="https://spirit-of-genius.blogspot.com/2020/06/the-arrangement-of-your-teammates.html" target="_blank">This should be your ARRANGEMENT!</a></b> </span><br />
<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO7Kc0YmOhhEPThgpNQA6KvlFnM5wDbDNTTCHcfe3oES_7BeeSkIdm9rkZIdCyssw-bfWauNzoO-95MEot1c6YDysq7tljH3R3TzI1Wj0u9l6upoQ7-VbO9hyWNBSyNMhALr-OG2m6HaU/s1600/bus-309718_1280.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="Save Your Teammates from Walk!" border="0" data-original-height="657" data-original-width="1280" height="164" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjO7Kc0YmOhhEPThgpNQA6KvlFnM5wDbDNTTCHcfe3oES_7BeeSkIdm9rkZIdCyssw-bfWauNzoO-95MEot1c6YDysq7tljH3R3TzI1Wj0u9l6upoQ7-VbO9hyWNBSyNMhALr-OG2m6HaU/s320/bus-309718_1280.png" title="Save Your Teammates from Walk!" width="320" /></a></div>
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PC Prafullhttp://www.blogger.com/profile/13278392651741898245noreply@blogger.com0