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SSC Sample Paper SSC CGL - Sample Paper-1

  • question_answer
    LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 80, then what is the other number?

    A)  60                   

    B)  40     

    C)  160                 

    D)  280

    Correct Answer: D

    Solution :

    Let the HCF of two numbers\[=x\] \[\therefore \]      LCM of two numbers\[=14x\] Now,                 \[HCF+LCM=600\] \[x+14x=600\] or \[x=\frac{600}{15}=40\] \[\therefore \] HCF of two numbers \[=40\] And LCM of two numbers \[=14\times 40\]                                     \[=560\] We know that \[\text{HCF}\,\,\text{ }\!\!\times\!\!\text{ }\,\,\text{LCM}\,\,\text{=}\,\,\text{Product of two numbers}\]\[40\times 560=80\times \text{Second number}\] \[\therefore \]      \[\text{Second number}=\frac{40\times 560}{80}\]                                     \[=280\]


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