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KVPY Sample Paper KVPY Stream-SX Model Paper-7

  • question_answer
    Consider the statement: \[''P(n):{{n}^{2}}-n+41\] is prime.?? Then which one of the following is true?

    A) Both P(3) and P(5) are true

    B)  P(3) is false but P(5) is true

    C) Both P(3) and P(5) are false

    D) P(5) is false but P(3) is true Physics

    Correct Answer: A

    Solution :

    \[P(n)={{n}^{2}}+41\]
    \[P(3)=9-3+41=47\]
    \[P(5)=25-5+47+61\]
    Hence, \[P(3)\]and\[P(5)\]both are prime.


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