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Given is 54 + 51 + 48 + ... till n terms = 513. How many values of ā€˜nā€™ are possible?

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Vijay plays a game, wherein he tosses a coin and scores 9 points if heads turns up and 5 points if tails turns up. A total of exactly 182 points is required to win the game. In how many combinations of heads and tails can Vijay win? A person is standing on a railway bridge 70m. Long. He finds that a traincrosses the bridge in 6 secs. but himself in 4 secs. Find the length of the trainand its speed in km/hr.