Question

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 :

• A. $(T,T)$
• B. $(T,F)$
• C. $(F,T)$
• D. $(F,F)$

Answer 1

Answer: (B)

Contra positive of P:
7 is not divisible by 2 $\Rightarrow$ 7 is not odd number
$T\Rightarrow F:F(V_1)$
Contra positive of Q :
7 is not odd number $\Rightarrow$ 7 is not a prime number
$F\Rightarrow F:T(V_2)$