Google Interview Puzzles

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You’ve got someone working for you for seven days and a gold bar to pay him. The gold bar is segmented into seven connected pieces.
You must give them a piece of gold at the end of every day.
What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?
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Three ants are sitting at the three corners of an equilateral triangle. Each ant starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the ants collide?
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A friend of mine bought a used pressure cooker for Rs. 60. She somehow did not find it useful and so when a • friend of hers offered her Rs. 70 she sold it to her. However, she felt bad after selling it and decided to buy it back from her friend’ by offering her Rs. 80. After having bought it ooce again she felt that she did not really need the cooker. So she sold it at the auction for Rs. 90.
How much profit did she make? Did she at all make any profit?
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There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.
If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.Will you accept that bet?
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A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice.
How many cats do you think there were?
Ob, by the way let me clarify just two points—it is not one cat killed the lot, because I have said ‘Cats’ and it is not999919 cats each killed one mouse, because I have used the word ‘mice’.
I can give you just one clue—each cat killed more mice than there were cats.View SolutionSubmit Solution 7447 views
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We all know that a chess board has 64 squares. This can be completely covered by 32 cardboard rectangles, each cardboard covering just 2 squares.*
Supposing we remove 2 squares of the chess board at diagonally opposite corners, can we cover the modified board with 31 rectangles? If it can be done how can we do it? And if it cannot be done, prove it impossible.View SolutionSubmit Solution 4115 views
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Two identical trains, at the equator start travelling round the world in opposite directions. They start together, run at the same speed and are on different tracks.
Which train will wear out its wheel treads first?View SolutionSubmit Solution 4508 views
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Mr John have 25 horses, and he want to pick the fastest 3 horses out of those 25. He has only 5 track that means only 5 horse can run at a time,even he don’t have a stop watch . What is the minimum number of races required to find the 3 fastest horses?
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There are twenty coins sitting on the table, ten are currently heads and tens are currently tails. You are sitting at the table with a blindfold and gloves on. You are able to feel where the coins are, but are unable to see or feel if they heads or tails. You must create two sets of coins. Each set must have the same number of heads and tails as the other group. You can only move or flip the coins, you are unable to determine their current state. How do you create two even groups of coins with the same number of heads and tails in each group?
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