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J & K CET Engineering J and K - CET Engineering Solved Paper-2006

  • question_answer
    The probability that a number n chosen at random from 1 to 30, to satisfy \[n+(50/n)>27\]is

    A)  \[7/30\]         

    B)  \[3/10\]

    C)  \[3/5\]           

    D)  \[1/5\]

    Correct Answer: D

    Solution :

    Total outcomes \[=30\] Now, \[n+(50+n)>27\] \[\Rightarrow \] \[{{n}^{2}}-27n+50>0\] \[\Rightarrow \] \[(n-2)\,(n-25)=0\] Favourable outcomes are 1,26,27,28,29,30. Number of favourable outcomes = 6 \[\therefore \] Required probability \[=\frac{6}{30}=\frac{1}{5}\]


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