MHT CET20225 Aug 2022Morning ShiftMathematicsMathematical ReasoningActual
Consider the statement " P (n): n^2-n+37 is prime." then, which one of the following is true?
Options
- AP (3) is false, but P (5) is true.
- BP(5) is false, but P(3) is true.
- CBoth P (3) and P (5) are true.
- DBoth P (3) and P (5) are false.
Correct answer
B. P(5) is false, but P(3) is true.
Step-by-step solution
"p (n): n^2-n+37 is prime" Now, p (3)=3^2-3+37=43 (which is prime) and p(5)=5^2-5+37=57 (which is not prime) Hence, p (3) is true but p (5) is false In the question write ' n ' ' in place of ' n₂ '