CLAT Sample Paper CLAT Sample Paper-6

  • question_answer
    What is the smallest value of n for which \[({{n}^{13}}-n)\,({{5}^{2n}}-1)\] is divisible by 169?

    A)  5

    B)  5

    C)  1

    D)  2

    Correct Answer: D

    Solution :

    \[({{n}^{13}}-n)\] is divisible by 13 for all n E whole numbers. \[({{5}^{2n}}-1)\] is divisible by +3 for even n. The smallest even number is 2. When n = 2, then the expression is divisible by 169.


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