UPTET Feb 2014, q131

0. If the number 23583ab is completely divisible by 80, then the value of a - b is

  • Option : A
  • Explanation : 23583ab is divisible by 80, so it should be divisible by both 8 and 10 (factors of 80).
    For 23583ab to be divisible by 10,
    ∴ b = 0
    Now, by divisibility rule of 8,
    3ab, i.e. 3a0 must be divisible by 8.
    Only a = 2 makes it possible.
    ∴ a - b = 2.
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