1.

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.

Answer» Correct Answer - A
Given statement is "`P(n):n^(2)-n+41` is prime".
Clearly `(P(3):3^(2)-3+41=9-3+41`
`=47` which is a prime number.
and `P(5):5^(2) -5+41=25-5+41=61,`
which is also a prime number.
` therefore ` Both P(3) and P(5) are true.


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