tag:blogger.com,1999:blog-55734563628416210352024-03-13T19:00:10.884-07:00Puzzles for Puzzled Minds..."You can punch a hole in an apple using a straw. How do you think that makes your milkshake feel..???"
Start Solving It...Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.comBlogger155125tag:blogger.com,1999:blog-5573456362841621035.post-44407088119945131372014-06-17T06:58:00.002-07:002014-06-17T06:59:10.219-07:00Given n coupons, how many coupons do you expect you need to draw with replacement before having drawn each coupon at least once ?<div dir="ltr" style="text-align: left;" trbidi="on">
Alternatively <span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">Suppose that there is an set </span><span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">of </span><i style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">n</i><span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;"> different </span><a href="http://en.wikipedia.org/wiki/Coupon" style="background: none rgb(255, 255, 255); color: #0b0080; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px; text-decoration: none;" title="Coupon">coupons</a><span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">, from which coupons are being collected, equally likely, with replacement. What is the probability that more than </span><i style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">t</i><span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;"> sample trials are needed to collect all </span><i style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;">n</i><span style="background-color: white; color: #252525; font-family: sans-serif; font-size: 14px; line-height: 22.399999618530273px;"> coupons ? </span></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0Noida, Uttar Pradesh, India28.5355161 77.39102649999995328.312280599999998 77.068302999999958 28.7587516 77.713749999999948tag:blogger.com,1999:blog-5573456362841621035.post-83915177822575309262013-11-17T08:08:00.002-08:002013-11-17T08:08:22.460-08:00At a movie theater, the manager announces that they will give a free ticket to the first person in line whose birthday is the same as someone who has already bought a ticket. You have the option of getting in line at any time. Assuming that you don't know anyone else's birthday, that birthdays are distributed randomly throughout the year, etc., what position in line gives you the greatest chance of being the first duplicate birthday? <div dir="ltr" style="text-align: left;" trbidi="on">
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Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-59016669444687597832013-11-14T12:56:00.002-08:002013-11-14T12:56:59.699-08:005 pirates of different ages have a treasure of 100 gold coins puzzle<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="background-color: white;"><span style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;">5 pirates of different ages have a treasure of 100 gold coins. </span><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><span style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;">On their ship, they decide to split the coins using this scheme: </span><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><span style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;">The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote for or against it. </span><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><span style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;">If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.</span><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><span style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;">As pirates tend to be a bloodthirsty bunch, if a pirate would get the same number of coins if he voted for or against a proposal, he will vote against so that the pirate who proposed the plan will be thrown overboard.</span><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><br style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;" /><span style="font-family: Verdana, Georgia, helvetica, serif; font-size: 15px; line-height: 20px;">Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?</span></span></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-49212987078241920072013-11-12T12:11:00.002-08:002013-11-12T12:12:20.343-08:002 Boys and train puzzles <div dir="ltr" style="text-align: left;" trbidi="on">
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Suppose 2 boys are walking in the woods and they decide to take a shortcut through a railroad tunnel. They had walked 2/3 of the way through the tunnel, but then something horrible happened: a train was coming in the opposite direction towards the 2 boys, and it was coming close to the other entrance of the tunnel. Each boy ran in a different direction to get out of the tunnel and avoid the incoming train. Each boy ran at the same exact speed of 10 miles per hour, and each boy managed to escape the train at the exact instant in which the train would have hit and killed him. If the train was moving at a constant speed and each boy was capable of instantaneous acceleration, then how fast was the train going?</span></div>
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Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-36415692162110350572013-10-16T12:11:00.003-07:002013-10-16T12:11:40.753-07:00Determine winner of 2/9 number game <div dir="ltr" style="text-align: left;" trbidi="on">
<span style="background-color: #f2f2f2; color: #333333; font-family: sans-serif; font-size: 14px; line-height: 17px;">Two players play the following game: they pick a random number N (less than 2 billion) then,</span><span style="background-color: #f2f2f2; color: #333333; font-family: sans-serif; font-size: 14px; line-height: 17px;"> </span><br /><span style="background-color: #f2f2f2; color: #333333; font-family: sans-serif; font-size: 14px; line-height: 17px;">starting from 1, take turns multiplying the number from the previous turn with either 2 or 9 (their choice). </span><span style="background-color: #f2f2f2; color: #333333; font-family: sans-serif; font-size: 14px; line-height: 17px;">Whoever reaches N first wins. </span><br style="background-color: #f2f2f2; color: #333333; font-family: sans-serif; font-size: 14px; line-height: 17px;" /><span style="background-color: #f2f2f2; color: #333333; font-family: sans-serif; font-size: 14px; line-height: 17px;">The candidate should write a function that given N decides who wins (first or second player)?</span></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-42572367529311170032013-09-23T22:15:00.001-07:002013-09-23T22:15:16.480-07:00Given n coins for two players playing a game. Each player can pick at least 1 and at most 5 coins in one turn. The player who picks the last coin loses the game. If they play optimally, which player will win the game?<div dir="ltr" style="text-align: left;" trbidi="on">
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Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com2tag:blogger.com,1999:blog-5573456362841621035.post-35417318471721434542013-07-26T06:48:00.003-07:002013-07-26T06:48:47.394-07:00 What strategy should be used to kill the fewest dwarfs, and what is the minimum number of dwarfs that can be saved with this strategy?<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="background-color: white; font-family: Helvetica, Arial, sans-serif; font-size: 15.555556297302246px; line-height: 20px;">A dwarf-killing giant lines up 10 dwarfs from shortest to tallest. Each dwarf can see all the shortest dwarfs in front of him, but cannot see the dwarfs behind himself. The giant randomly puts a white or black hat on each dwarf. No dwarf can see their own hat. The giant tells all the dwarfs that he will ask each dwarf, starting with the tallest, for the color of his hat. If the dwarf answers incorrectly, the giant will kill the dwarf. Each dwarf can hear the previous answers, but cannot hear when a dwarf is killed. What strategy should be used to kill the fewest dwarfs, and what is the minimum number of dwarfs that can be saved with this strategy?</span><span style="font-family: Helvetica, Arial, sans-serif; font-size: 15.555556297302246px; line-height: 20px;"><br /><br />Source: <a href="http://www.businessinsider.com/toughest-job-interview-questions-2013-7?op=1#ixzz2a9upxPNJ" style="color: #003399; text-decoration: none;">http://www.businessinsider.com/toughest-job-interview-questions-2013-7?op=1#ixzz2a9upxPNJ</a></span></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com9tag:blogger.com,1999:blog-5573456362841621035.post-30018421329612781002013-07-23T13:11:00.003-07:002013-07-23T13:11:17.361-07:00"We're playing a game. Cards numbered from 1-10 are placed in a hat. whatever card is drawn is the paid out amount. how much should i charge you to play this game? If you can redraw by placing the first card back into the hat, what is the new price?"<div dir="ltr" style="text-align: left;" trbidi="on">
<h4 class="post-title" style="background-color: white; color: #202020; font-family: arial, sans-serif; font-size: 13.333333969116211px; font-weight: normal; line-height: 18.19444465637207px; margin: 0px; padding: 0px;">
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Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-25635925155470072342013-03-20T23:30:00.003-07:002013-11-14T12:57:30.147-08:00You wake up groggily in the dark, On the wall next to you is a switch. what you will do ?<div dir="ltr" style="text-align: left;" trbidi="on">
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Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com1tag:blogger.com,1999:blog-5573456362841621035.post-23294947576629582332013-03-19T02:52:00.002-07:002013-03-19T02:52:40.764-07:00How many passes does it take to fill in slots so that max number of people are happy<div dir="ltr" style="text-align: left;" trbidi="on">
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<div style="background-color: white; color: #222222; font-family: Georgia, Helvetica, Arial, sans-serif; font-size: 13px; line-height: 18px;">
There are 5 slots(1,2,3,4,5) and 5 people(A,B,C,D,E). Each of them provide their preferences. A=1, B=2, C=3, D=4, C=4. Given an arbitary starting sequence say BCDEA, going clock wise: how many passes does it take to fill in those slots so that max number of people are happy. People are happy if A gets 1, B gets 2, C gets 3, etc. Remember D and E cannot be kept happy together at the same time because both of them prefer Slot-4.</div>
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So Question is : Can you do better than N passes?</div>
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Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-20076228155505451812013-03-19T02:50:00.001-07:002013-03-19T02:50:46.580-07:00Suppose you reach your home and noticed that the light bulb in your corridor is not working. What will you do in such a situation?<div dir="ltr" style="text-align: left;" trbidi="on">
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Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com1tag:blogger.com,1999:blog-5573456362841621035.post-21771111936127046482012-11-03T06:33:00.002-07:002012-11-03T06:33:56.604-07:00If 1.5 dogs eat 1.5 pounds of meat in 1.5 days, how much will 16 dogs eat in 4 days? <div dir="ltr" style="text-align: left;" trbidi="on">
<span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">1.5 dogs eat 1.5 pounds of meat in 1.5 days </span><span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">this means that 1.5 dogs eat 1 pound of meat/day</span><br style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;" /><span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">or to get rid of the decimal, 3 dogs eat 2 pounds of meat/day </span><span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">so 16 dogs would eat 32/3 pounds of meat/day</span><br style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;" /><span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">because 2*16/3=32/3 </span><span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">so in 4 days they will have eaten 128/3 pounds of meat because 4*32/3=128/3</span><br style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;" /><br style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;" /><span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">the answer is therefore 128/3 pounds of meat which can written as 42 2/3 .</span><br />
<span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;"><br /></span>
<span style="background-color: white; color: #333333; font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">we love comment so lets us know if any thing wrong or other way to approach the same :)</span></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com1tag:blogger.com,1999:blog-5573456362841621035.post-90849607920409236712012-09-30T12:16:00.001-07:002012-11-03T11:47:20.236-07:00How will you represent (3AC)14 in base 7 numeral system. <div dir="ltr" style="text-align: left;" trbidi="on">
<span class="Apple-style-span" style="-webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; border-collapse: separate; color: black; font-family: 'Times New Roman'; font-size: 10px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;"><span class="Apple-style-span" style="font-family: Cambria, Palatino, 'Palatino Linotype', 'Hoefler Text', Times, 'Times New Roman', serif; font-size: 14px; line-height: 20px;"></span></span><br />
<div style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 14px; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; vertical-align: baseline;">
<span class="Apple-style-span" style="-webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; border-collapse: separate; color: black; font-family: 'Times New Roman'; font-size: 10px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;"><span class="Apple-style-span" style="font-family: Cambria, Palatino, 'Palatino Linotype', 'Hoefler Text', Times, 'Times New Roman', serif; font-size: 14px; line-height: 20px;">It can be done using this formula!</span></span><br />
<span class="Apple-style-span" style="-webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; border-collapse: separate; color: black; font-family: 'Times New Roman'; font-size: 10px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;"><span class="Apple-style-span" style="font-family: Cambria, Palatino, 'Palatino Linotype', 'Hoefler Text', Times, 'Times New Roman', serif; font-size: 14px; line-height: 20px;">If a no X is represented in base 14 as</span></span><br />
<span class="Apple-style-span" style="-webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; border-collapse: separate; color: black; font-family: 'Times New Roman'; font-size: 10px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;"><span class="Apple-style-span" style="font-family: Cambria, Palatino, 'Palatino Linotype', 'Hoefler Text', Times, 'Times New Roman', serif; font-size: 14px; line-height: 20px;">X = an a(n-1) a(n-2) .... a(0)</span></span></div>
<span class="Apple-style-span" style="-webkit-border-horizontal-spacing: 0px; -webkit-border-vertical-spacing: 0px; -webkit-text-decorations-in-effect: none; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; border-collapse: separate; color: black; font-family: 'Times New Roman'; font-size: 10px; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;"><span class="Apple-style-span" style="font-family: Cambria, Palatino, 'Palatino Linotype', 'Hoefler Text', Times, 'Times New Roman', serif; font-size: 14px; line-height: 20px;">
<div style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 14px; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; vertical-align: baseline;">
then in base 7 we can write it as</div>
<div style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 14px; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; vertical-align: baseline;">
X=.....rqp</div>
<div style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 14px; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; vertical-align: baseline;">
where<br />
p=(2^0)a(0)%7;<br />
q=((2^1)a(1) + p/7)%7<br />
r=((2^2)a(2) + q/7)%7<br />
..........<br />
nth term=((2^n)a(n) + (n-1)th term/7)%7<br />
(will go further because a no. in base 14 will require more digits in base 7).</div>
<div style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 14px; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; vertical-align: baseline;">
The logic is simple, just based on properties of bases, and taking into account the fact that 7 is half of 14. Else it would have been a tedious task.</div>
<div style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 14px; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; vertical-align: baseline;">
Eg. here it is given 3AC.<br />
C =12;<br />
so last digit is (2^0 * 12)%7 = 5<br />
A=10<br />
next digit is (2^1 * 10 + 12/7)%7 = (20+1)%7=21%7=0<br />
next is 3;<br />
next digit is (2^2 * 3 + 21/7)%7 = (12+3)%7=15%7=1<br />
next is nothing(0);<br />
next digit is (2^3 * 0 + 15/7)%7 = (0+2)%7=2%7=2</div>
<div style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 14px; margin-bottom: 20px; margin-left: 0px; margin-right: 0px; margin-top: 0px; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; vertical-align: baseline;">
Hence, in base 7 number will be, 2105. <br />
<br />
Now try how you can perform any base to any other base conversion ?</div>
</span></span></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-84534029232058124292012-09-30T03:37:00.001-07:002012-09-30T03:37:31.594-07:00You are given n dice. Each die has m sides i.e has values from 1 to m. Given m,n,x calculate the probability that the sum of all the dice is greater than or equal to x. <div dir="ltr" style="text-align: left;" trbidi="on">
Example n=4 m=2 x=8 ans: 1/16=0.0625 n=2 m=6 x=3 ans:35/36=0.972</div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com1tag:blogger.com,1999:blog-5573456362841621035.post-47771471546458346292012-09-24T00:54:00.001-07:002012-09-24T00:54:11.208-07:00You are given two hourglasses. One measures 4 minutes and one measures 7 minutes. How would you measure exactly 9 minutes?<div dir="ltr" style="text-align: left;" trbidi="on">
<br /><span style="font-size: small;"><span style="font-family: Verdana,sans-serif;"><span class="Apple-style-span" style="border-collapse: separate; color: black; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;"><span class="Apple-style-span" style="color: #444444; line-height: 22px;"><table align="center" border="0" cellspacing="0" style="background-color: transparent; border-collapse: collapse; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><tbody style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">
<tr style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;" width="70"><strong style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Step</strong></td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;" width="70"><strong style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Time</strong></td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;" width="130"><strong style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">4 minute timer</strong></td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;" width="130"><strong style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">7 minute timer</strong></td></tr>
<tr style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">1</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">0 min</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Start</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Start</td></tr>
<tr style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">2</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">4 mins</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Flip</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">3 minutes left</td></tr>
<tr style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">3</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">7 mins</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">1 minute left</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Flip</td></tr>
<tr style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">4</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">8 mins</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Stop</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Flip (1 minute left)</td></tr>
<tr style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">5</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">9 mins</td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;"><br /></td><td style="background-color: transparent; border-width: 0px; margin: 0px; outline-width: 0px; padding: 0px; vertical-align: baseline;">Stop</td></tr>
</tbody></table>
</span></span></span></span></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com3tag:blogger.com,1999:blog-5573456362841621035.post-55831966580715280832012-08-21T15:20:00.001-07:002012-08-21T15:20:09.127-07:00You have 50 red marbles and 50 blue marbles. Your have two jars. If I am to choose a jar at random, what ratios of marbles would you put in each jar to increase the probability of me choosing a red marble?<div dir="ltr" style="text-align: left;" trbidi="on">
<br /></div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com1tag:blogger.com,1999:blog-5573456362841621035.post-43318490116762051862012-08-21T15:14:00.004-07:002012-09-30T03:41:20.443-07:00Determine which jar has the heavier marbles in the least amount of weighings <div dir="ltr" style="text-align: left;" trbidi="on">
You have 10 jars .Each jar has 100 marbles<br />
9 of the 10 jars -> each marble weighs 1 gram each<br />
last jar -> each marble weights 1.1 grams each<br />
electronic weight scale <br />
- place what you want to weight on it<br />
- hit a button<br />
- get the total weight<br />
<br />
find the defective jar ? <br />
<br />
Answer:Take 1 marble from jar 1, 2 from jar 2, 3 from jar 3 and so on...so u have 55 marbles in all<br />Weigh
them all together...if total weight is 55.1....then jar 1 is the one
with obese marbles...if 55.2..then jar 2...and so on... again 55.3 can't be the combination of jar 1 and 2 as (.1 +.2 ) since defective jar is only one.</div>
Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com4tag:blogger.com,1999:blog-5573456362841621035.post-60561698181121977862012-02-22T21:34:00.002-08:002012-02-22T21:47:44.891-08:00Three Doors, 1 Prize Puzzle , One of Toughest Puzzle on Probabality<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
You are on a gameshow and the host shows you three doors. Behind one
door is a suitcase with $1 million in it, and behind the other two doors
are sacks of coal. The host tells you to choose a door, and that the
prize behind that door will be yours to keep.
<br />
You point to one of the three doors. The host says, "Before we open
the door you pointed to, I am going to open one of the other doors."
He points to one of the other doors, and it swings open, revealing a
sack of coal behind it.
<br />
"Now I will give you a choice," the host tells you. "You can either
stick with the door you originally chose, or you can choose to switch to
the other unopened door."
<br />
Should you switch doors, stick with your original choice, or does it not matter?<br />
<br />
<br /> </div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com3tag:blogger.com,1999:blog-5573456362841621035.post-7462864557360834062012-02-20T02:51:00.001-08:002012-02-20T02:51:41.218-08:00Einstein's Riddle<div dir="ltr" style="text-align: left;" trbidi="on">
<div dir="ltr" style="text-align: left;">
<div style="clear: both; text-align: center;">
</div>
<div style="text-align: center;">
<br /></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://4.bp.blogspot.com/-A4cpwLYGP4o/T0B9UfKUB_I/AAAAAAAAANo/RHBb_WSMZGU/s1600/albert-einstein2.jpg" style="margin-left: 1em; margin-right: 1em;" target="_blank"><br /></a><a href="http://4.bp.blogspot.com/-A4cpwLYGP4o/T0B9UfKUB_I/AAAAAAAAANo/RHBb_WSMZGU/s1600/albert-einstein2.jpg" style="margin-left: 1em; margin-right: 1em;" target="_blank"><br /></a></div>
<div style="text-align: left;">
ALBERT EINSTEIN'S RIDDLE ARE YOU IN THE TOP 2% OF INTELLIGENT PEOPLE IN THE WORLD? SOLVE THE RIDDLE AND FIND OUT. <br />
<br />
<br />
There are no tricks, just pure logic, so good luck and don't give up. <br />
<br />
1. In a street there are five houses, painted five different colors. <br />
<br />
2. In each house lives a person of different nationality <br />
<br />
3. These five homeowners each drink a different kind of beverage, smoke different brand of cigar and keep a different pet. <br />
<br />
THE QUESTION: <b>WHO OWNS THE FISH? </b><br />
<br />
<b>HINTS </b></div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
1. The British man lives in a red house. <br />
2. The Swedish man keeps dogs as pets. <br />
3. The Danish man drinks tea. <br />
4. The Green house is next to, and on the left of the White house. <br />
5. The owner of the Green house drinks coffee. <br />
6. The person who smokes Pall Mall rears birds. <br />
7. The owner of the Yellow house smokes Dunhill. <br />
8. The man living in the center house drinks milk. <br />
9. The Norwegian lives in the first house. <br />
10. The man who smokes Blends lives next to the one who keeps cats. <br />
11. The man who keeps horses lives next to the man who smokes Dunhill. <br />
12. The man who smokes Blue Master drinks beer. <br />
13. The German smokes Prince. <br />
14. The Norwegian lives next to the blue house.<br />
15. The Blends smoker lives next to the one who drinks water. <br />
<br />
ALBERT
EINSTEIN WROTE THIS RIDDLE EARLY DURING THE 19th CENTURY. HE SAID THAT
98% OF THE WORLD POPULATION WOULD NOT BE ABLE TO SOLVE IT. </div>
<div style="text-align: left;">
<br /></div>
<div style="text-align: left;">
Feel free to comment your answers and share to your friends.</div>
</div>
</div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com5tag:blogger.com,1999:blog-5573456362841621035.post-44867950056413198492012-02-09T01:24:00.001-08:002012-02-20T02:50:40.312-08:00Manager and Engineer Puzzle<div dir="ltr" style="text-align: left;" trbidi="on">
The FBI has surrounded the headquarters of the Norne corporation. There
are <i>n</i> people in the building. Each person is either an engineer
or a manager. All computer files have been deleted, and all documents
have been shredded by the managers. The problem confronting the FBI interrogation
team is to separate the people into these two classes, so that all the
managers can be locked up and all the engineers can be freed. Each of
the <i>n</i> people knows the status of all the others. The interrogation
consists entirely of asking person <i>i</i> if person <i>j</i> is
an engineer or a manager. The engineers always tell the truth. What makes
it hard is that the managers may not tell the truth. In fact, the managers
are evil geniuses who are conspiring to confuse the interrogators. <br />
<ol>
<li> Under the assumption that more than half of the people are engineers,
can you find a strategy for the FBI to find one engineer with at most
<i>n-1</i> questions? </li>
<li> Is this possible in <i>any number of questions</i> if half the
people are managers? </li>
<li> Once an engineer is found, he/she can classify everybody else. Is
there a way to classify everybody in fewer questions?</li>
</ol>
</div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com2tag:blogger.com,1999:blog-5573456362841621035.post-42807999733991941542012-02-09T01:05:00.002-08:002012-02-09T01:05:36.755-08:00How many sequences of n coin tosses have no consecutive heads?<div dir="ltr" style="text-align: left;" trbidi="on">
<br /></div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-8254476722093459202012-01-18T03:35:00.001-08:002012-01-18T03:35:33.098-08:00Set 1-8 in these 8 boxese such that consecutive numbers wont intersect vertically/horizontally or diagonally<div dir="ltr" style="text-align: left;" trbidi="on">
<pre style="white-space: pre-wrap; word-wrap: break-word;">
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</pre>
<pre style="white-space: pre-wrap; word-wrap: break-word;">
</pre>
</div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com4tag:blogger.com,1999:blog-5573456362841621035.post-79889601211254496032012-01-18T03:27:00.001-08:002012-01-18T03:27:50.408-08:00An ant moves on a regular grid of squares that are coloured either black or white. The ant is always oriented in one of the cardinal directions (left, right, up or down) and moves from square to adjacent square according to the following rules: - if it is on a black square, it flips the color of the square to white, rotates 90 degrees counterclockwise and moves forward one square. - if it is on a white square, it flips the color of the square to black, rotates 90 degrees clockwise and moves forward one square. Starting with a grid that is entirely white, how many squares are black after 10^18 moves of the ant?<div dir="ltr" style="text-align: left;" trbidi="on">
<br /></div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com0tag:blogger.com,1999:blog-5573456362841621035.post-71418241547870049452012-01-12T22:57:00.004-08:002012-01-12T22:57:59.147-08:00You have a circle with radius r. What is the probability that a point lies more towards the circumference than towards the centre.<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<br />
Solution<br />
Probability of point lying close to circumference would be mean point is in the circle with area from r/2 from center till outside in the figure below it would be in blue part of the circle.<br />
<br />
Probability = Area covered by circle from point r/2 towards circumference/ Area of the circle<br />
In the above given circle formula would be = Area of blue circle/ Area of circle<br />
= pi r pow 2/ 4 / pi r 2 = 1/4</div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com1tag:blogger.com,1999:blog-5573456362841621035.post-26203514072267158052012-01-12T22:57:00.003-08:002012-01-12T22:57:41.753-08:00minimize the time taken by all 4 to cross the bridge.<div dir="ltr" style="text-align: left;" trbidi="on">
There is a bridge and to travel on it there should be a torch light available.<br />
Only two persons can cross the bride at a time. There are 4 persons on the other side of the bridge. They require 1,2,5,10 minutes respectively to cross the bridge. How much time should it take for all 4 to go to the other side of the bridge.<br />
<br />
Remember there is only one torch light. So if two persons cross the bridge with torch light, one has to come back with torch light for others to use torch light. If person with 1 min and 10 minutes cross the bridge together, they take 10 minutes together to cross the bridge(maximum of the time taken by two people).<br />
<br />
Your criteria is to minimize the time taken by all 4 to cross the bridge.<br />
<br />
<br /></div>Anonymoushttp://www.blogger.com/profile/08388805306629452557noreply@blogger.com1