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SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125. If one number in 25, then the other number is

    A) 1100

    B)  975     

    C)  900     

    D)  800

    Correct Answer: A

    Solution :

    If the HCF = H, then LCM = 44 H \[\therefore \] \[44\,\,H+H=1125\]\[\Rightarrow \]\[45\,\,H=1125\] \[\therefore \]\[H=\frac{1125}{45}=25\] \[\therefore \]      LCM \[=44\times 25=1100\] Now, First number x Second number \[=LCM\times HCF\] \[\Rightarrow \]\[25\times \]Second number \[=1100\times 25\] \[\therefore \] Second number \[=\frac{1100\times 25}{25}=1100\]


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