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SSC Sample Paper Mock Test-20 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of the digits of the smallest number which when multiplied by 1800, gives a perfect cube is

    A) 2         

    B)  3

    C)  6

    D)  8

    Correct Answer: C

    Solution :

    \[1800=2\times 2\times 2\times 3\times 3\times 5\times 5={{2}^{3}}\times {{3}^{2}}\times {{5}^{2}}\] To make 1800 a perfect cube, it must be multiplied by 15 (least number). \[\therefore \] Required sum \[=1+5=6\]


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