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    Question

    The sum of two numbers is 40 whereas the sum of their

    reciprocals is (10/3). Find the square of the product of the two numbers.
    A 210 Correct Answer Incorrect Answer
    B 144 Correct Answer Incorrect Answer
    C 169 Correct Answer Incorrect Answer
    D 256 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the two numbers be 'p' and 'q'.

    So, p + q = 40

    And (1/p) + (1/q) = (10/3)

    Or, {(p + q)/(pq)} = (10/3)

    Or, pq = (3/10) × 40 = 12

    So, required square = 12² = 144

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