tag:blogger.com,1999:blog-2893315201359920156.post6485503345947872571..comments2023-10-28T20:35:12.856+05:30Comments on Best Brain Teasers: Maths Handshake Puzzlelaveshhttp://www.blogger.com/profile/03731980294342074301noreply@blogger.comBlogger26125tag:blogger.com,1999:blog-2893315201359920156.post-22730578947130248622017-06-11T22:08:03.153+05:302017-06-11T22:08:03.153+05:30There weee 12 people at the party.
If one person ...There weee 12 people at the party. <br />If one person shakes hands to every one,therefore the number of shakes will be 11.<br />The second person will next shake to the ten people for the total shakes of 10. <br />The third person will shake to 9 people with 9 shakes. <br />The fourth person will shake to 8 people with 8 shakes. <br />Now the number of shakes will be decreasing by 1 as we have seen from the first shakes of the first person to everyone. Therefore the last shake will be done by two people for 1 shake. <br />Now the total shakes will be equals to 11+10+9+8+7+6+5+4+3+2+1=66.<br />MIGUNDASAGWA@INNOVATION.COMhttps://www.blogger.com/profile/13792572231760438698noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-32599473882024882032016-03-29T10:36:16.147+05:302016-03-29T10:36:16.147+05:3033 because 33x2=6633 because 33x2=66Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-25931139753797207112016-03-07T05:30:44.636+05:302016-03-07T05:30:44.636+05:3012 people. Number of shakes=n*(n-1) where n is num...12 people. Number of shakes=n*(n-1) where n is number of people Alemuhttps://www.blogger.com/profile/10853962860837263020noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-87075369057230302482015-10-25T23:22:04.197+05:302015-10-25T23:22:04.197+05:30In general, with n+1 people, the number of handsha...In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.<br />Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.<br />This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.<br /><br />so the answer is 12.stormblade282https://www.blogger.com/profile/16299358458804843253noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-84326631337353411412015-09-26T18:37:24.199+05:302015-09-26T18:37:24.199+05:3022
22<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-29493950391415965032015-09-26T18:10:19.522+05:302015-09-26T18:10:19.522+05:30where do does half came?where do does half came?Anonymoushttps://www.blogger.com/profile/15160480216312812151noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-71275151409418151252015-05-21T22:00:33.470+05:302015-05-21T22:00:33.470+05:30It's basically 11+10+9+8+7+6+5+4+3+2+1+0 which...It's basically 11+10+9+8+7+6+5+4+3+2+1+0 which equals 66<br />The answer is 12. Cmon people it was so easy. <br /><br /><br /><br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-34907691607408647132014-08-29T01:16:59.517+05:302014-08-29T01:16:59.517+05:30(X-1)+(X-2)+(X-3)+......+{X-(X-1)}=66
So X=12(X-1)+(X-2)+(X-3)+......+{X-(X-1)}=66<br />So X=12Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-84204908068511062852014-03-05T15:47:45.802+05:302014-03-05T15:47:45.802+05:30This comment has been removed by the author.The Awesome Bloghttps://www.blogger.com/profile/15757731645675626550noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-49488196611521276862013-09-04T17:52:16.326+05:302013-09-04T17:52:16.326+05:30it's just nC2=66
so n=12it's just nC2=66<br />so n=12Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-11257070184804634792013-05-03T13:44:59.521+05:302013-05-03T13:44:59.521+05:3012
In general, with n+1 people, the number of han...12<br /><br />In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.<br />Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.<br />This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.<br /><br />Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-35173691854069994902013-03-16T00:08:33.892+05:302013-03-16T00:08:33.892+05:30Here's the script i made, just save as anythin...Here's the script i made, just save as anything.bat, 14 here, :<br />@echo off<br />set people=1<br />set handshakes=0<br />set cnt=0<br />:LOOP<br />set /A people+=1<br />set /A cnt+=1<br />set /A handshakes+=%cnt%<br />echo.handshakes:%handshakes%<br />if "%handshakes%" NEQ "66" Goto :LOOP<br />echo.Handshakes:%handshakes%<br />echo.People:%people%<br />pause > nul<br />exit /b<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-21579879089666813832012-10-10T07:19:59.158+05:302012-10-10T07:19:59.158+05:3012, it's so simple12, it's so simpleAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-12311530861901990052012-09-19T12:29:12.861+05:302012-09-19T12:29:12.861+05:3012 people....
coz,
n = total persons
totally 66 ...12 people....<br />coz, <br /><br />n = total persons<br />totally 66 handshakes, <br />2 persons = 1 handshake<br />and each person shakes hand with n - 1 persons<br /><br />==> Half of ( n(n-1) ) = 66<br />==> n(n-1)/2 = 66<br />==> n = 12 or -11<br /><br />==> n = 12Anonymoushttps://www.blogger.com/profile/14679880961262836668noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-11419088297214361032012-09-09T19:51:37.133+05:302012-09-09T19:51:37.133+05:30132
132<br />Anonymoushttps://www.blogger.com/profile/04679954537283798918noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-17166931193520661992012-09-05T15:59:19.947+05:302012-09-05T15:59:19.947+05:3012 for sure..12 for sure..Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-32428819078402868482012-09-04T20:06:30.843+05:302012-09-04T20:06:30.843+05:301+2+3+....+(n-1) = 66; total persons = n
n(n-1)/2=...1+2+3+....+(n-1) = 66; total persons = n<br />n(n-1)/2=66 => n(n-1) = 132 => n = 12<br />Explaination: If there are n people, the first person<br /> will shake hand with n-1 persons, the second with n-2, the third with n-3, and the (n-1)th person with n-(n-1)=1<br />person; ie, the last person. Hence, total handshakes are (n-1)+(n-2)+(n-3)+....+3+2+1Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-12059491265421424342012-09-04T19:40:20.149+05:302012-09-04T19:40:20.149+05:30correct nC2 = 66 , and n comes out to be 12.
n*(n-...correct nC2 = 66 , and n comes out to be 12.<br />n*(n-1) = 66*2 and 12 satisfies this relationAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-55046168923549039992012-09-04T16:41:17.596+05:302012-09-04T16:41:17.596+05:301111Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-44566197524951194532012-09-04T15:11:57.735+05:302012-09-04T15:11:57.735+05:30correctcorrectகார்த்திக் ஸ்வீட் ஹார்ட்https://www.blogger.com/profile/03263526353740918036noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-19901384402461906152012-09-04T14:31:19.563+05:302012-09-04T14:31:19.563+05:301212Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-23211886354220535702012-09-04T14:10:04.295+05:302012-09-04T14:10:04.295+05:30nc2= n*(n-1)/2=66
n=12
the answer is 12 people.
nc2= n*(n-1)/2=66<br />n=12<br />the answer is 12 people.<br />Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-63497623143168929762012-09-04T13:46:21.148+05:302012-09-04T13:46:21.148+05:30((13-1)*13))/2 = 78
((12-1)*12))/2 = 66
Still goi...((13-1)*13))/2 = 78<br />((12-1)*12))/2 = 66<br /><br />Still going with 12 :)<br /><br />Also, check the parentheses: ((n-1)(n))/2<br /><br />As written, (n-1*(n))/2 simplifies to (n-n)/2, and thence to, well, 0.oudeishttps://www.blogger.com/profile/02798986999913350014noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-13183614911017319872012-09-04T13:43:08.558+05:302012-09-04T13:43:08.558+05:30This comment has been removed by the author.oudeishttps://www.blogger.com/profile/02798986999913350014noreply@blogger.comtag:blogger.com,1999:blog-2893315201359920156.post-72202352969898796632012-09-04T12:55:22.765+05:302012-09-04T12:55:22.765+05:30ans: 13 members
for ex: if 4 mems are there then 6...ans: 13 members<br />for ex: if 4 mems are there then 6 shakes... i.e. (n-1*(n))/2 so here n-1*n/2=66, then n is 13Rahul's pagehttps://www.blogger.com/profile/17761442328241254927noreply@blogger.com