Book Maths Puzzle Numerical Ability

Everybody in a room shakes hands with everybody else.The total number of handshakes is 66.The total number of persons in a room is

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Book Other Question

a cylinder, a hemisphere and a cone are on the base and have the same height,the area of the curved surface are in the ratio??? Six points in a plane be joined in all possible ways by indefinite straight lines, and if no two of them be coincident of parallel and no three pass through the same point(with the exception of original 6).The number of distinct points of n is equals to