Question

    If total number of factors of 2,520 is 'x', then find

    the value of (x - 7) (x + 1).
    A 1980 Correct Answer Incorrect Answer
    B 2000 Correct Answer Incorrect Answer
    C 2009 Correct Answer Incorrect Answer
    D 2040 Correct Answer Incorrect Answer

    Solution

    Factors of 2,520 = 2³ × 3² × 5¹ × 7¹
    So, total number of factors = (3 + 1) (2 + 1) (1 + 1) (1 + 1) = 4 Ă— 3 Ă— 2 Ă— 2 = 48
    Required value = (x - 7) (x + 1) = 41 Ă— 49 = 2009

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