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SSC Sample Paper SSC CGL - Sample Paper-8

  • question_answer
    Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2028. The sum of the numbers is

    A)  68                               

    B)  72

    C)  86                               

    D)  91

    Correct Answer: D

    Solution :

    Let the numbers be 3x and 4x respectively First number x second number \[=HCF\times LCM\] \[\Rightarrow \]   \[3x\times 4x=2028\] \[\Rightarrow \]   \[{{x}^{2}}=\frac{2028}{3\times 4}=169\] \[\therefore \]      \[x=\sqrt{169}=13\] \[\therefore \] Sum of the numbers \[=3x+4x=7x=7\times 13=91\]


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