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Wipro Technologies Interview Puzzle #1 - Trick Interesting Maths puzzle

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There are three cars in a racing track. The track is made forming a perfect circle and is quite wide so that at one time, multiple cars can pass through it. The car which is leading is driving at 55 MPH and the slowest car is driving at 45 MPH. The car that is in middle of these two is driving in between the two speeds. For the time being you can say that the distance between the fastest car and the middle car is x miles and it is same between the middle car and the slowest car. Also, x is not equal to 0 or 1.

The car keeps running till the leading car catches up with the slowest car and then every car stops. Given the case, do you think that at any point, the distance between any two pairs will again become x miles?

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Wipro Technologies Interview Puzzle #2 - Interesting Coin Probability Puzzle

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A man tosses three coins in the air. When they land, he finds that two of the coins have heads up and one has tails up.

What is the probability that when the coins are tossed again, they will land again with two heads up and one tails up.

Please note that the coins are unbiased.

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Wipro Technologies Interview Puzzle #3 - River Crossing Riddle

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Twinkle and Rinki wish to cross a river.
The only way to get to the other side of the river is by boat, but that boat can only take one of them at a time. The boat cannot return on its own, there are no ropes or similar tricks, yet both girls manage to cross using the boat.

How?

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Wipro Technologies Interview Puzzle #4 - Weight Balance Riddle

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You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.

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Wipro Technologies Interview Puzzle #5 - Water Gallon Brain Teaser

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This is a logical test and if you can do it then you have a better logical mind than half of the population.
There are two measuring baskets: one has the capacity of 5 gallons and the other has the capacity of 3 gallons. If you are given with unlimited supply of any liquid, how will you measure 4 gallons of that liquid in the least moves?

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