jee-main 2019 Q74

jee-main · India · session1_10jan_shift1 Proof True/False Justification
Consider the statement: ``$P ( n ) : n ^ { 2 } - n + 41$ is prime''. Then which one of the following is true?
(1) $P ( 3 )$ is false but $P ( 5 )$ is true
(2) Both $P ( 3 )$ and $P ( 5 )$ are false
(3) Both $P ( 3 )$ and $P ( 5 )$ are true
(4) $P ( 5 )$ is false but $P ( 3 )$ is true
Consider the statement: ``$P ( n ) : n ^ { 2 } - n + 41$ is prime''. Then which one of the following is true?\\
(1) $P ( 3 )$ is false but $P ( 5 )$ is true\\
(2) Both $P ( 3 )$ and $P ( 5 )$ are false\\
(3) Both $P ( 3 )$ and $P ( 5 )$ are true\\
(4) $P ( 5 )$ is false but $P ( 3 )$ is true