What is the minimum number of ordered pairs of non-negative integers that…

GATE · 2005 · CS

What is the minimum number of ordered pairs of non-negative integers that should be chosen to ensure that there are two pairs (a, b) and (c, d) in the chosen set such that a ≡ c (mod 3) and b ≡ d (mod 5)?

  1. A.

    4

  2. B.

    6

  3. C.

    16

  4. D.

    24

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