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SSC Sample Paper Mock Test-15 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of two numbers is 5 28 and their HCF is 33. The number of such pairs is

    A) 2

    B)  3

    C)  4

    D)  5

    Correct Answer: C

    Solution :

    Let the numbers be 33a and 33b, where a and b are co-primes. Then, \[33a+33b=528\Rightarrow 33\,\,(a+b)=528\Rightarrow a+b=16\]\[\therefore \]          \[(a=1,b=15),\]\[(a=3,b=13),\]            \[(a=5,b=11),\]\[(a=7,b=9)\] Numbers are \[(33\times 1,33\times 15),\]\[(33\times 3,33\times 13),\]\[(33\times 5,33\times 11),\]\[(33\times 7,33\times 9)\] Possible number of pairs = 4


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