Let n = p2q, where p and q are distinct prime numbers. How many numbers m…

GATE · 2005 · IT

Let n = p2q, where p and q are distinct prime numbers. How many numbers m satisfy 1 ≤ m ≤ n and gcd(m, n) = 1? Here gcd(m, n) denotes the greatest common divisor of m and n.

  1. A.

    p(q − 1)

  2. B.

    pq

  3. C.

    (p2 − 1)(q − 1)

  4. D.

    p(p − 1)(q − 1)

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