tag:blogger.com,1999:blog-8581245245830882137.comments2010-04-06T09:39:17.098-07:00Puzzles, brain teasers and headbreakersVrungelhttp://www.blogger.com/profile/01947434088779786259noreply@blogger.comBlogger21125tag:blogger.com,1999:blog-8581245245830882137.post-78764256936606360002010-04-06T09:39:17.089-07:002010-04-06T09:39:17.089-07:00Very good analysis !Very good analysis !Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-46865251679975269682010-03-18T04:09:33.218-07:002010-03-18T04:09:33.218-07:00Yes he does. it take s while though
Proof:
Use th...Yes he does. it take s while though<br /><br />Proof:<br />Use the followng notation<br />P(i) is the percentage of the rope travelled lust before the stretch at i seconds.<br />B(i) is the lenght travelled before the stretch at i seconds<br />A(i) is the lengh Travelled after the stretch at i seconds<br /><br />We have that P(1)=0.1 since the ant has travelled 10% of the rope inthe first 10 seconds<br /><br />For i>1 we have that<br /><br />1: P(i)=B(i)/i<br /><br />(the length travelled divided by the length of the rope)<br /><br />In turn<br /><br />2: B(i) = A(i-1)+0.1<br /><br />The length travelled just before the streatch at time i is equal to the lenght travelled at just after the stretch at time i-1<br /><br />In turn<br /><br />3: A(i-1)=P(i-1)*i<br /><br />The distance travelled after the stretch at time i-1 is the percentage travelleed at time i-1 multiplied by the length of the rope just after the stretch at time i-1<br /><br />Combining 1 and 2<br /><br />we get<br /><br />4: P(i) = (A(i-1) + 0.1)/i<br /><br />Cobining 4 and 3 we get<br /><br />5: P(i) = P(i-1) + 0.1/i<br /><br />this gives<br /><br />P(i) =0.1*(1 + 1/2 + ... +1/i)<br /><br />As i tends to infinity, the sum above tends to infinity also, so there is a point when P(i) is greater than 1. THis occrs after 12367 secondsNickhttps://www.blogger.com/profile/06085351177643278402noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-3660350186228411062009-09-01T16:24:31.241-07:002009-09-01T16:24:31.241-07:00This is EKG sequence where first two numbers are 1...This is <a href="http://mathworld.wolfram.com/EKGSequence.html" rel="nofollow">EKG sequence</a> where first two numbers are 1 and 2 and then every next is the smallest number not already used that shares a factor with the preceding member. So next number would be 15.Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-46432063013100383652009-08-17T18:02:09.474-07:002009-08-17T18:02:09.474-07:00The next 2 numbers are 10 and 12?The next 2 numbers are 10 and 12?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-20089467239857417582009-04-27T13:31:00.000-07:002009-04-27T13:31:00.000-07:00The next 2 numbers are 6 and 0?
I try to figure i...The next 2 numbers are 6 and 0?<br /><br />I try to figure it out by looking at the patterns but i'm clueless about the formula.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-79736078108503574152009-04-27T13:03:00.000-07:002009-04-27T13:03:00.000-07:00Argh.. I couldn't figure it out. What is it?Argh.. I couldn't figure it out. What is it?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-75717674725531168512009-02-09T21:18:00.000-08:002009-02-09T21:18:00.000-08:00The long one dies first because an oxygen molecule...The long one dies first because an oxygen molecule is heavier then carbon minoxide, Therefor their is oxygen lower in the glass for longer. Remember smoke rises, stay to the ground where the oxygen is.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-17466476329634159902008-11-04T09:01:00.000-08:002008-11-04T09:01:00.000-08:00Yes, the long one will indeed die first :) (which ...Yes, the long one will indeed die first :) (which is easily proved by experiment).Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-84095023658416259162008-10-25T22:11:00.000-07:002008-10-25T22:11:00.000-07:00The long one will die first because there is sligh...The long one will die first because there is slightly more oxygen in to start with.Stephen Morrishttps://www.blogger.com/profile/06855578776077184085noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-86735017475303166992008-07-05T10:25:00.000-07:002008-07-05T10:25:00.000-07:00Thanks for replay, your answer is correct !As far ...Thanks for replay, your answer is correct !<BR/><BR/>As far as formula goes, I do not know it and I'm not sure it can ebe easily found. <BR/><BR/>Here is an interesting question - can any didgit repeat more then 9 time in a sequence? (Then next number will have to represent it like 10+)<BR/><BR/>If do come accross formula do let me know :)Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-23450327908120298712008-07-03T05:53:00.000-07:002008-07-03T05:53:00.000-07:00the next terms are 312211, 13112221, 1113213211......the next terms are 312211, 13112221, 1113213211...........<BR/><BR/>hey do you know what is the formula of the n th term?tanvir (picakuklu@yahoo.com)noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-53704451945144332442008-07-02T08:07:00.000-07:002008-07-02T08:07:00.000-07:00well explained !well explained !Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-80089684491283014092008-07-01T12:41:00.000-07:002008-07-01T12:41:00.000-07:00If the pant/short legs are large enough to fit you...If the pant/short legs are large enough to fit your body through then yes it is possible. First flip the shorts inside out while the are still on your legs(they will now be upside down as well). Next, slide the shorts/pants down pulling the rope through the legs so none of it extends out through the waist. Now rotate the shorts/pants around the loop feeding rope into one leg and out the other until you get to your body then pull one leg over your body and pop out through the waist.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-63621791825114090542008-06-21T15:52:00.000-07:002008-06-21T15:52:00.000-07:00Yea, that is pretty much the way to go :)Yea, that is pretty much the way to go :)Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-46771224832129207842008-06-21T15:51:00.000-07:002008-06-21T15:51:00.000-07:00Thanks for the reference! That site does have good...Thanks for the reference! That site does have good selection of puzzles.Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-37416236440514913122008-06-19T01:24:00.000-07:002008-06-19T01:24:00.000-07:00The shorts/Pants can be put inside out but the rop...The shorts/Pants can be put inside out but the rope will be inside the shorts/pants. so the loop needn't be broken.pichahttps://www.blogger.com/profile/07729488453509105995noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-88591169259230447682008-06-09T06:38:00.000-07:002008-06-09T06:38:00.000-07:00Technically not a comment but another good way to ...Technically not a comment but another good way to pickle your brain at <A HREF="http://www.smart-kit.com/s1137/the-pickies-factory-brain-game/ " REL="nofollow">SmartKit</A>, it's a fun little brain game that I think many of you will enjoy.catorhttps://www.blogger.com/profile/11446711756110674112noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-854813128216058112008-05-31T12:58:00.000-07:002008-05-31T12:58:00.000-07:00Yeap, that is exactly right!Yeap, that is exactly right!Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-88428719214175333432008-05-21T08:47:00.000-07:002008-05-21T08:47:00.000-07:00The result of substraction is always a muliple of ...The result of substraction is always a muliple of 9 (e.g. 9, 18, 27 , 36 etc). All multiples of 9 correspond to the same symbol. Each time you click "try again" the computer changes the symbol.Konstantinoshttps://www.blogger.com/profile/13526743788706696519noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-4498225855430551912008-04-28T09:45:00.000-07:002008-04-28T09:45:00.000-07:00You are right!You are right!Vrungelhttps://www.blogger.com/profile/01947434088779786259noreply@blogger.comtag:blogger.com,1999:blog-8581245245830882137.post-54337826981466420742008-04-26T09:42:00.000-07:002008-04-26T09:42:00.000-07:00Just one trip is sufficient! You turn on Switch #1...Just one trip is sufficient! You turn on Switch #1 for a couple of minutes. Then you turn off Switch #1 and turn on Switch #2. You visit the closed room: If the lamp is lighting it is Switch #2. If it is off but warm then it is Switch #2. If it is off and cold then it is Switch #3.Konstantinoshttps://www.blogger.com/profile/13526743788706696519noreply@blogger.com