Road Race

Problem

In the final stretch of a road race, you pass the 2nd-place runner right before crossing the finish line. What place do you finish in?Pu

Solution

Second place. You would have had to pass the first place racer to have finished in first place.

Sum of Hats

Problem There are 3 people Abel,Bill and Clark.Three of them have numbers written on their hats.One can only see the numbers written on others hats and can not see the number written on his own hat. Sum of numbers on any two 2 hats is equal to the number on the third hat.Now the following event occurs 1. Abel was asked about the number on his hat.He replied “Don’t Know” [Read More]

Coins on the Table

Variant 1 - Suppose we have 10 coins with Heads f… AmITh - May 2, 2014Variant 1 - Suppose we have 10 coins with Heads faced up and 10 more with Tails. Now we randomly divide the total(20) coins into two pipes of 10 coins each. pipe1 pipe2 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 since there are 10 heads(1) and 10 tails(0) , if there are 4 Heads in pipe1, then remaining 6 should be in pipe2. [Read More]

Coins on the Table

Problem Variant 1———– There is a table on which a number of coins are placed. You also know that there are as many coins with Head up as many coins with Tail up. Now you have to divide the coins (number of coins is even) into two equal piles such that number of coins with Heads up and Tails up in either piles be the same. The catch is you are blind folded and you cannot determine the sides (for sure) if you are blinded [Read More]

40 Pounds in the Balance

Problem You are given a mystery ball and are told that it has a whole-number weight between 1 and 40 lbs (inclusive). You are then given a balance scale are are allowed to pick four weights, each weighing any whole-number amount. You much choose these weights so that no matter what the mystery ball weighs, you will be able to determine its weight using just the balance scale and these four weights. [Read More]

Crazy guy in Airplane

Problem People are waiting in line to board a 100-seat airplane. Steve is the first person in the line. He gets on the plane but suddenly can’t remember what his seat number is, so he picks a seat at random. After that, each person who gets on the plane sits in their assigned seat if it’s available, otherwise they will choose an open seat at random to sit in. The flight is full and you are last in line. [Read More]

Monty hall problem - Choose the Correct Door

Problem On the game show “Let’s make a deal”, Monty Hall (the host) walks up to a contestant and gives them $100 unless they want to play “the three doors”. They usually turn down the money and play “the three doors”. Now behind one of the doors is an enourmous cash prize, behind the other too are silly prizes such as a years supply of toilet paper or a goat. So Monty asks this same contestant to pick a door, which they do. [Read More]

Cigars on Circular Table

Problem Let’s say we play a simple game. I have a circular table and an unlimited supply of identically shaped Cuban cigars. We each take turns placing a cigar on the table without disturbing any other cigars already there in the process and without overlapping any pair of cigars. The winner will be last person to successfully place a cigar on the table subject to the given restrictions. If I give you the option of going first, how would you play in order try and win [Read More]

Measure 45 minutes

Problem You have two strings of rough non-countinuous composition (in other words these strings are not ideally uniform.) You know that each will take exactly half an hour to burn no matter which end is lit. How can you measure a time interval of 45 minutes with 1.2 match sticks available 2.only one match (which only sustains a flame for a few seconds) Solution Solution with 2 matches… Old solution for 2 matches. [Read More]

Cards with Vowel & Even number

Problem There are 4 cards on a table. Each has a number on one side and a letter on the other. The cards show A,B,1 and 2. Which 2 cards would you turn over to test the rule that “All cards with a vowel on one side have an even number on the other”. Solution A and 1, since by elimination… 1.we have to take A as if there is a odd no. [Read More]