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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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