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NTSE Sample Paper NTSE SAT Practice Test-8

  • question_answer
    Given that \[\frac{x}{2}+\frac{y}{4}=k\]and \[\frac{2}{x}+\frac{4}{y}=\frac{k}{2}\] What is the value of xy? (k being a real number)

    A) 1

    B) 4

    C) 16

    D) Cannot be determined unless value of k is known

    Correct Answer: C

    Solution :

    [c] \[4x+2y=8k\,or\,2x+y=4k\] \[2y+4x=\frac{xy}{2}.k\] \[\Rightarrow \,\,\,\,4k=\frac{xy}{4}k\,or\,\,\,xy=16.\]


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