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    Question

    If 893x2 is divisible by 56, and x > 6, find

    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: 3x2

    Try x = 2 ⇒ 332 ÷ 8 = 41.5 (not divisible)

    Try x = 4 ⇒ 342 ÷ 8 = 42.75 (not divisible)

    Try x = 6 ⇒ 362 ÷ 8 = 45.25 (not divisible)

    Try x = 8 ⇒ 382 ÷ 8 = 47.75 (not divisible)

    Try x = 1 ⇒ 312 ÷ 8 = 39 (divisible)

    x = 1 (but not >6)

    Try x = 5 ⇒ 352 ÷ 8 = 44 (divisible)

    x = 5 (but x > 6 not satisfied)

    Try x = 9 ⇒ 392 ÷ 8 = 49 (divisible)

    x = 9

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