1
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If (p $$\wedge$$ $$\sim$$ q) $$\wedge$$ (p $$\wedge$$ r) $$\to$$ $$\sim$$ p $$\vee$$ q is false, then the truth values of $$p, q$$ and $$r$$ are, respectively :
A
F, T, F
B
T, F, T
C
T, T, T
D
F, F, F
2
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
Contrapositive of the statement

‘If two numbers are not equal, then their squares are not equal’, is :
A
If the squares of two numbers are equal, then the numbers are equal.
B
If the squares of two numbers are equal, then the numbers are not equal.
C
If the squares of two numbers are not equal, then the numbers are not equal.
D
If the squares of two numbers are not equal, then the numbers are equal.
3
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
The proposition $$\left( { \sim p} \right) \vee \left( {p \wedge \sim q} \right)$$ is equivalent to :
A
p $$\vee$$ ~ q
B
p $$\to$$ ~ q
C
p $$\wedge$$ ~ q
D
q $$\to$$ p
4
JEE Main 2017 (Offline)
+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
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