SSC Quantitative Aptitude Number System and its Operations Question Bank Numbers and Their Principles (II)

  • question_answer
    What least value must be given to *, so that the number 42573* is exactly divisible by 72?

    A) 4

    B) 5

    C) 6

    D) 7

    Correct Answer: C

    Solution :

    [c] \[72=(9\times 8).\] So, the given number must be divisible by both 9 and 8. For divisibility by 8, the number 73* must be divisible by 8. \[\therefore *\] must be replaced by 6. Also, \[(4+2+5+7+3+6)=27,\] which is divisible by 9. \[\therefore \] 425736 is divisible by \[(8\times 9)\] i.e., 72.


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