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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    If the HCF of two numbers (each greater than 13) be 13 and LCM 273, then the sum of the numbers will be

    A)  288                             

    B)  290     

    C)  130                 

    D)  286

    Correct Answer: C

    Solution :

    Let the numbers be 13x and 13y where x and y are co-prime. Then, product of numbers \[=HCF\times LCM\] \[\Rightarrow \]   \[13x\times 13y=13\times 273\] \[\Rightarrow \]   \[xy=\frac{13\times 273}{13\times 13}\] \[\Rightarrow \]   \[xy=21=3\times 7\] \[\therefore \]      Numbers are \[3\times 13=39\] and       \[7\times 13=91\] \[\therefore \]      Required sum =\[39+91=130\]   


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