NTSE Sample Paper NTSE SAT Practice Test-16

  • question_answer
    If d is the H.C.F of two numbers a and b, then there do exist unique numbers\[m(\ne 0)\] such that

    A) \[d=\frac{m}{a}+\frac{n}{b}\]

    B) \[am+bn=d\]

    C) \[d=\frac{m}{a}+bn\]   

    D) \[d=am+\frac{n}{b}\]

    Correct Answer: A

    Solution :

    [a]  \[a=6,\,\,b=15\,\,\,\,\Rightarrow \,\,d=3\] \[\therefore \,\,\,3=\frac{m}{6}+\frac{n}{15}\Rightarrow \,\,m=12,n=15\] 


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