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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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