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    Question

    If the seven-digit number 5728p9 is exactly divisible by

    11, then what is the value of (11 p), where p > 0?
    A 9 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    Given the number 5728p9, use the divisibility rule for 11: Odd positions sum 5+2+p=7+p Even positions sum 7+8+9=24 For divisibility by 11-   7+p-24=11 Solving, p = 6. Thus, 11-p =11-6 =5

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