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      Question

      If the number 640x6 is exactly divisible by 56 and x is greater than 5, then determine the value of
      x.

      A 6 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Last 3 digits: 0x6

      Try x = 2 ⇒ 026 = 26 ÷ 8 = 3.25 (not divisible)

      Try x = 4 ⇒ 046 = 46 ÷ 8 = 5.75 (not divisible)

      Try x = 7 ⇒ 076 = 76 ÷ 8 = 9.5 (not divisible)

      Try x = 8 ⇒ 086 = 86 ÷ 8 = 10.75 (not divisible)

      Try x = 3 ⇒ 036 = 36 ÷ 8 = 4.5 (not divisible)

      Try x = 5 ⇒ 056 = 56 ÷ 8 = 7 (divisible)

      Try x = 6 ⇒ 066 = 66 ÷ 8 = 8.25 (not divisible)

      So only x = 5

      But x > 5 → not valid

      Try x = 9 ⇒ 096 = 96 ÷ 8 = 12 (divisible)

      x = 9

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