JEE Main 2016 · 9 Apr · Shift 1 · Mathematics Q90

← JEE Main 2016 · 9 Apr · Shift 1

MathematicsSingle correct+4 / -1Question 90 of 90

Consider the following two statements :

P : If 7 is an odd number, then 7 is divisible by 2.

Q : If 7 is a prime number, then 7 is an odd number.

If $V_1$ is the truth value of the contrapositive of P and $V_2$ is the truth value of contrapositive of Q, then the ordered pair $(V_1,V_2)$ equals :

(T, T)

(T, F)

(F, T)

(F, F)

Answer and worked solution

Official answer: C

A contrapositive has the same truth value as the statement. P is false (7 is not divisible by 2) and Q is true, so $(V_1,V_2)=(F,T)$ .

Topics:Mathematical reasoning

← Previous question

JEE Main 2016 · 9 Apr · Shift 1, Mathematics question 90