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      Question

      The number '24138p' is divisible by 6 but not by 5.

      Determine the result of (p + 11).
      A 12 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 17 Correct Answer Incorrect Answer
      D 10 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Divisible by 6 β‡’ divisible by 2 and 3.

      Sum of digits = 2 + 4 + 1 + 3 + 8 + p = 18 + p

      We want (18 + p) divisible by 3

      p must be even and β‰  0 or 5

      Try p = 6 β†’ 18 + 6 = 24

      So, p = 6

      (p + 11) = 6 + 11 = 17

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