Question

    The coefficient of 'x 2 ' and 'x' in the

    expression (Ax + 5) (3 - 2x) are same, where 'A' is a positive integer. (A + 10) is how much percent of (A + 58) ?
    A 10% Correct Answer Incorrect Answer
    B 15% Correct Answer Incorrect Answer
    C 25% Correct Answer Incorrect Answer
    D 20% Correct Answer Incorrect Answer

    Solution

    (Ax + 5) (3 - 2x) = 3Ax - 2Ax 2  - 10x + 15 = - 2Ax 2  + (3A - 10) x + 15

    ATQ, - 2A = 3A - 10

    Or, 5A = 10

    So, 'A' = 2

    Required percent = {(2 + 10) ÷ (2 + 58) } x 100 = (12/60) X 100 = 20%

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