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      Question

      If the 8-digit number 617x849y is divisible by 72, then

      find the value of (6x - y).
      A 20 Correct Answer Incorrect Answer
      B 25 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 14 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Divisibility by 8: Last 3 digits = 49y should be divisible by 8.

      Try y = 6 β†’ 496 Γ· 8 = 62 βœ…

      Now check divisibility by 9:

      Sum = 6 + 1 + 7 + x + 8 + 4 + 9 + 6 = (41 + x) should be divisible by 9.

      x = 4 β†’ 45 βœ…

      Required value = (6 Γ— 4 - 6) = (24 - 6) = 18

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