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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of two numbers is 216 and their HCF is 27. How many pairs of such numbers are there?

    A)  1        

    B)                     2

    C)  3                                

    D)  0

    Correct Answer: B

    Solution :

    HCF of two number = 27 \[\therefore \]Let the numbers be 27 x and 27 y where x and y are prime to each other. According to the question, \[27x+27y=216\]g \[\Rightarrow \]   \[27\,\,(x+y)=216\] \[\therefore \]      \[(x+y)=\frac{216}{27}=8\] \[\therefore \] Possible pairs of x and y = (1, 7) and (3, 6) \[\therefore \] Number = (27, 189) and (81, 135)


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