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CLAT CLAT Solved Paper-2018

  • question_answer
    When 13511, 13903 and 14589 are divided by the greatest number 'n', the remainder in each case is 'm'. The value of (n + m) is

    A) 183              

    B)        182

    C) 181                  

    D)        179

    Correct Answer: A

    Solution :

    Sol.
    The numbers are 13511, 13903, 14589
    Largest number n = HCF of
    (13903 - 13511), (14589 - 13903),
    (14589 -13511)
    = HCF of 392, 686, 1078
    =98
    Now the largest number is a factor of above given numbers (13511, 13903, 14589) with same remainder i.e.
    \[13511\,=\,98\times 137+85\]
    \[13909=\,98\times 141+85\]
    \[14589=\,98\times 148+85\]
    \[\therefore \]m is remainder = 85
    \[\therefore \] m + n = 98 + 85 = 183


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