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SSC Sample Paper Mock Test-7 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of the HCF and LCM of two number is 680 and the LCM is 84 times the HCF. If one of the numbers is 56, the other is

    A)  84

    B)  12

    C)  8

    D)  96

    Correct Answer: D

    Solution :

    Let HCF be hand LCM be 1. Then,    \[l=84\,\,h\] and \[l+h=680\] \[\Rightarrow \]   \[84\,\,h+h=680\] \[\Rightarrow \]   \[h=\frac{680}{85}=8\] \[\therefore \]      \[l=680-8=672\] \[\therefore \]Other number \[=\frac{672\times 8}{56}=96\]


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