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SSC Sample Paper SSC CGL - Sample Paper-21

  • question_answer
    For a positive integer n, define d(n) = The number of positive divisors of n. What is the value of \[d(d(d(12)))?\]

    A) 1                                 

    B) 2

    C) 4                                 

    D) None of these

    Correct Answer: D

    Solution :

    \[d(d(d(12)))=d(d(6))\]  [\[\therefore \] Positive integer divisor of 12 = 1, 2, 3, 4, 6, 12] = d (4)   [\[\therefore \] positive integer divisor of 6 = 1, 2, 3, 6] = 3 [\[\therefore \] positive integer divisor of 4 = 1, 2, 4]


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