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Railways R.R.C. (Kolkata) Solved Paper Held on 2nd Shift 27-10-2013

  • question_answer
    The L.C.M. of two numbers is 12 times their H.C.F. The sum of H.C.F. and L.C.M. is 403. If one number is 93, then the other is?

    A) 128                  

    B)   124

    C) 134                              

    D) None of these

    Correct Answer: B

    Solution :

    L.C.M. = 12\[\times \]H.C.F. H.C.F.+L.C.M. = 403 H.C.F+12 H.C.F. = 403 13 H.C.F. = 403 H.C.F \[=\frac{403}{13}\] H.C.F. = 31                  ... (1) \[\therefore \]      \[L.C.M.=12\times 31=372\] \[\because \] First number\[\times \]Second number             \[=H.C.F.\times L.C.M.\] \[\therefore \] Second number\[=\frac{31\times 372}{93}\] \[=124\]


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