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      Question

      In the number 862x4, if it is divisible by 56 and x > 5,

      then what is the value of x?
      A 6 Correct Answer Incorrect Answer
      B 4 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Check divisibility by 8 using last 3 digits: 2x4

      Try x = 0 ⇒ 204 ÷ 8 = 25.5 (not divisible)

      Try x = 3 ⇒ 234 ÷ 8 = 29.25 (not divisible)

      Try x = 6 ⇒ 264 ÷ 8 = 33 (divisible)

      Try x = 8 ⇒ 284 ÷ 8 = 35.5 (not divisible)

      So only x = 6 makes it divisible

      Since x > 5,

      x = 6

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