JEE PYQ: Mathematical Reasoning Question 37
Question 37 - 2019 (10 Jan Shift 1)
Consider the statement: “$P(n): n^2 - n + 41$ is prime.” Then which one of the following is true?
(1) Both P(3) and P(5) are true.
(2) P(3) is false but P(5) is true.
(3) Both P(3) and P(5) are false.
(4) P(5) is false but P(3) is true.
Type: MCQ
Show Answer
Answer: (1)
Solution
$P(3) = 9 - 3 + 41 = 47$ (prime)
$P(5) = 25 - 5 + 41 = 61$ (prime)
$\therefore$ $P(3)$ and $P(5)$ are both prime i.e., true.
BETA
