Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-15

  • question_answer
    Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7,12 and 16 will leave the same remainder 4?

    A)  137                

    B)  1361              

    C)         140                

    D)         172

    Correct Answer: D

    Solution :

    Suppose least no. be x \[1856-x=n\] (LCM of\[7,12,16\])\[+4\] or \[1856-x=n(336)+4\] we should take \[n=5\]so that n(336) is nearest to 1856 and \[n(336)<1856\] \[1856-x=1680+4=1684\] \[x=1856-1684=172\]


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