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Railways Quantitative Aptitude Basic Calculations Sample Paper Square Roots & Cube Roots Sample Test Paper-5

  • question_answer
    The smallest number by which 3888 must be divided so that the resulting number is a perfect square is

    A)  2                    

    B)  6

    C)  3                    

    D)  None of these.

    Correct Answer: C

    Solution :

    [c] Resolving 3888 into its prime factors, we find that \[3888=2\times 2\times 2\times 2\times 3\times 3\times 3\times 3\times 3\] \[3888=\left( 2\times 2 \right)\times \left( 2\times 2 \right)\times \left( 3\times 3 \right)\times \left( 3\times 3 \right)\times 3\] Here we find that prime factor 3 is appearing alone. So, if we divide 3888 by 3, we will get a perfect square number


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