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    5. The product of two consecutive even integers is 960. Find the product of digits of the bigger number

    Question

    The product of two consecutive even integers is 960. Find

    the product of digits of the bigger number.
    A 11 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the required numbers be (n - 1) and (n + 1).

    So, (n - 1) × (n + 1) = 960

    Or, n² - 1 = 960

    Or, n² = 961

    Or, n = 31

    Larger number = 31 + 1 = 32

    Required product = 3 × 2 = 6

    Practice Next
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    Relevant for Exams:

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