1
JEE Main 2017 (Offline)
MCQ (Single Correct Answer)
+4
-1
The following statement

$$\left( {p \to q} \right) \to \left[ {\left( { \sim p \to q} \right) \to q} \right]$$ is
A
equivalent to $${ \sim p \to q}$$
B
equivalent to $${p \to \sim q}$$
C
a fallacy
D
a tautology
2
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
The contrapositive of the following statement,

“If the side of a square doubles, then its area increases four times”, is :
A
If the side of a square is not doubled, then its area does not increase four times.
B
If the area of a square increases four times, then its side is doubled.
C
If the area of a square increases four times, then its side is not doubled.
D
If the area of a square does not increase four times, then its side is not doubled.
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+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)
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+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
$$p \vee \sim q$$
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