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SSC Sample Paper Mock Test-5 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of two numbers is 216 and their HCF is 27. The numbers are

    A)  54, 162           

    B)  108, 108

    C)  27, 189

    D)  55, 127

    Correct Answer: C

    Solution :

    Let the numbers be 27a and 27b \[27a+27b=216\]\[\Rightarrow \]\[a+b=\frac{216}{27}\]\[\therefore \]\[a+b=8\] Co-primes with sum 8 are (1, 7) and (3, 5) So, the numbers are \[(27\times 1)\,\,(27\times 7)\] or\[(27\times 3)\,\,(27\times 5)\] i.e., (27 and 189) or (81 and 135)            


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