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CapitalIQ Interview Puzzle #1 - Complex Grid Interview Puzzle

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You are given with a cube with a three by three grid. Suppose you are standing on the back left corner of the cube and you are supposed to reach the front right of the cube. You are free to move towards the front, downwards or upwards.

How many ways are there that will take you to the end.

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CapitalIQ Interview Puzzle #2 - Mislabeled Candy Boxes Interview Puzzle

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A new company has launched a range of juicy candies. There are two flavors of which these juice candies will be available for retail - Peach and Grape. The toffees are packed in three different boxes with one containing peach candies, one containing grape candies and one containing a mixture of both. It is informed that the packaging person has accidentally mislabeled all the three boxes.

If you are asked to label them correctly, how many candies will you have to pick and from which jar in order to label every box correctly?

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CapitalIQ Interview Puzzle #3 - Measure the Water Interview Question

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You have infinite supply of water. You also have 5 quart and 3 quart buckets. What is the least number of steps you will require to measure precisely 4 quarts?

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CapitalIQ Interview Puzzle #4 - Nine Hats Interview Puzzle

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Nine brilliant most students were summoned by an inspecting professor. He gave them a situation and told them that he is having nine hats. The hats are either red colored or blue colored as told by the professor. He also tells them that he have at least one red colored hat and the number of blue hats are greater than the red hats.

He places one hat on each of their heads. The students are not allowed to talk with each other and no means of communication is feasible. He asks them how many hats are blue and how many are red. He gives them half an hour to deduce and moves out of the room. Nobody is able to answer when he returns back and thus he gives them another fifteen minutes. But when he returns, no one can answer again. Thus he gives them final five minutes. On returning back this time, everyone was available with an accurate answer.

How could the students have deduced the right answer? What is the right answer?

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CapitalIQ Interview Puzzle #5 - Very Hard Math Question

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There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple.

If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially?

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