CTS Company Numerical Ability Permutation and Combination

There are 9 balls of which one is defective. What are the minimum number of chances required to find the defective one?

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CTS Other Question

2^74+2^2058+2^2n , for what value of n the expression is a perfect square? In how many ways can the captain of a cricket team select 11 players from a squad of 14 players?