SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-2

  • question_answer
    If x is a prime number and -1\[\le \frac{2x-7}{5}\le \] 1 then the number of values of x is:

    A)  4                    

    B)  3

    C)  2                    

    D)  5

    Correct Answer: B

    Solution :

     Given that \[-1\le \frac{2x-7}{5}\le 1\] \[\Rightarrow -5\le 2x-7\le 5\] \[\Rightarrow -5+7<2x\le 5+7\] \[\Rightarrow 2\le 2x\le 12\] \[\Rightarrow 1\le x\le 6\] Now, \[x\in [1,6]\] \[x\in [1,,,4,,6]\] Means, there are three prime values of x is [3]


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