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VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    Probability of getting positive integral roots of the equation \[{{x}^{2}}-n=0\] for the integer n, \[1\le n\le 40\] is

    A)  \[\frac{1}{5}\]

    B)  \[\frac{1}{10}\]

    C)  \[\frac{3}{20}\]

    D)  \[\frac{1}{20}\]

    Correct Answer: C

    Solution :

    Given, \[{{x}^{2}}-n=0\] \[\Rightarrow \] \[x\pm \sqrt{n}\] \[\therefore \,\,n=\]1, 4, 9,16, 25, 36 \[\therefore \] Required probability\[=\frac{6}{40}=\frac{3}{20}\]


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