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Railways Sample Paper RRB (Assistant Loco Pilot) Sample Test Paper-7

  • question_answer
    The L.C.M. of two number is 630 and their H.C.F. is 9. If the sum of numbers is 153, their difference is

    A)  17                  

    B)  23                   

    C)         27                  

    D)         33                               

    Correct Answer: C

    Solution :

    Let numbers be x and y. \[\because \]Product of two numbers = their (LCM \[\times \]HCF) \[\Rightarrow \]  \[xy=630\times 9\] Also, \[x+y=153\](given) since \[x-y=\sqrt{{{(x+y)}^{2}}-4xy}\] \[\Rightarrow \]   \[x-y=\sqrt{{{(153)}^{2}}-4(630\times 9)}\] \[=\sqrt{23409-22680}=\sqrt{729}=27\]


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