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Multiple Choice Questions

The expression x3q2 x3pt 4x2pt 4x2q2 3xq2 3xpt is divisible by ........

Quantitative Aptitude (CDS) Algebra
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    The expression x3q2 - x3pt + 4x2pt - 4x2q2 + 3xq2 - 3xpt is divisible by

    (x - 1) only

    Incorrect Answer

    (x - 3) only

    Incorrect Answer

    both (x - 1) and (x - 3)

    Correct Answer

    neither ( x - 1) nor (x - 3)

    Incorrect Answer
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    Explanation:
    x3q2 - x3pt + 4x2pt - 4x2q2 + 3xq2 - 3xpt
    x3q2 - 4x2q2+ 3xq2- x3pt  + 4x2pt - 3xpt
    =xq2(x2−4x+3)−xpt(x2−4x+3)
    =x(x2−4x+3)(q2−pt)
    =x(x−1)(x−3)(q2−pt)
    So both (x - 1) and (x - 3) are factors

    By: Munesh Kumari
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