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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,

    Divisibility by 8: The last three digits of 893x2 are 3x2, which is 302+10x. Check values of x: For x=7: 372÷8=46.5 (not divisible) For x=8: 382÷8=47.75 (not divisible) For x=9: 392÷8=49 (divisible) Divisibility by 7: Check if 89392 is divisible by 7: 89392÷7=12770.2857(not divisible) Conclusion: No value of x>6 makes 893x2 divisible by both 7 and 8.

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