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An old lady has certain gloves and hats in her basket. She has around 35 gloves and 42 hats in her collection. She went to his Grandchildren on a certain occasion. She decided to gift her grandchildren few hats. She had 3 grandchild. So how many attempts she will have to make to ensure that smallest will get 1, and second will get 2, and eldest will get 3 hats.

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TCS Other Question

51 people (a1,a2,......,a51) meet and shake hands in a circular fashion. In other words, there are totally 51 handshakes involving the pairs (a1, a2),(a2,a3),......,(a50,a51),(a51,a1). Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is Planet fourfi resides in 4 dimensional space and thus the currency used by its residents are 3 dimensional objects. The rupee notes are cubical in shape while their coins are spherical, however the coin minting machinery lays out some stipulations on the size of the coins. The diameter of the coins should be at least 256 mm and not exceed 4096 mm. Given a coin, the diameter of the next larger coin is at least 50% greater. The diameter of the coin must always be an integer. You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?