1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
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  V1 is the truth value of the contrapositive of P and V2 is the truth value of contrapositive of Q, then the ordered pair (V1 , V2) equals :
A
(T, T)
B
(T, F)
C
(F, T)
D
(F, F)
2
JEE Main 2016 (Offline)
+4
-1
The Boolean expression

$$\left( {p \wedge \sim q} \right) \vee q \vee \left( { \sim p \wedge q} \right)$$ is equivalent to
A
$${ \sim p \wedge q}$$
B
$${p \wedge q}$$
C
$$p \vee q$$
D
$$p \vee \sim q$$
3
JEE Main 2015 (Offline)
+4
-1
The negation of $$\sim s \vee \left( { \sim r \wedge s} \right)$$ is equivalent to
A
$$s \vee \left( {r \vee \sim s} \right)$$
B
$$s \wedge r$$
C
$$s \wedge \sim r$$
D
$$s \wedge \left( {r \wedge \sim s} \right)$$
4
JEE Main 2014 (Offline)
+4
-1
The statement $$\sim \left( {p \leftrightarrow \sim q} \right)$$ is
A
equivalent to $${ \sim p \leftrightarrow q}$$
B
a tautology
C
a fallacy
D
equivalent to $${p \leftrightarrow q}$$
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