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SSC Sample Paper Mock Test-12 SSC CGL Tear-II Paper-1

  • question_answer
    Sum of digits of the smallest number by which 1440 be multiplied so that it becomes a perfect cube, is

    A) 4

    B)  6 

    C)  7

    D)  8

    Correct Answer: B

    Solution :

       \[1440=2\times 2\times 2\times 2\times 2\times 3\times 3\times 5={{2}^{3}}\times {{2}^{3}}\times {{3}^{2}}\times 5\]To make 1440 a perfect cube, it must be multiplied by\[2\times 3\times 5\times 5=150\] \[\therefore \] The required sum \[=1+5+0=6\]


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