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    Question

    The product of two positive values is 81 times the

    product of the first value and the reciprocal of the second value. A third value is 50% more than the second one. If the product of the first and third value is 108, then what is the first value?
    A 8 Correct Answer Incorrect Answer
    B 3 Correct Answer Incorrect Answer
    C 5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the first, second and third value be x, y and z, respectively. According to the question: x × y = 81 × x × (1/y) ⇒ y² = 81 ⇒ y = 9 z = 1.5 × 9 = 13.5 Also, x × z = 108 ⇒ x = 108 ÷ 13.5 = 8

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