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    Question

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

    the value of (y - 4)(y + 6).
    A 2248 Correct Answer Incorrect Answer
    B 2376 Correct Answer Incorrect Answer
    C 2156 Correct Answer Incorrect Answer
    D 2454 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 × 3 × 2 × 2 = 48 y = 48 Required value = (y - 4)(y + 6) = (48 - 4)(48 + 6) = 44 × 54 = 2376.

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