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      Question

      If 274x2 is divisible by 56, and x > 4, what is the value

      of x?
      A 12 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,

      For divisibility by 8, check the last 3 digits: 4x2

      Try x = 2 ⇒ 442 ÷ 8 = 55.25 (not divisible)

      Try x = 4 ⇒ 442 (same)

      Try x = 6 ⇒ 462 ÷ 8 = 57.75 (not divisible)

      Try x = 8 ⇒ 482 ÷ 8 = 60.25 (not divisible)

      Try x = 3 ⇒ 432 ÷ 8 = 54 (divisible)

      Try x = 7 ⇒ 472 ÷ 8 = 59 (divisible)

      x can be 3 or 7

      Since x > 4,

      x = 7

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