1
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
The proposition p $$\to$$ ~ (p $$\wedge$$ ~q) is equivalent to :
A
($$\sim$$p) $$\vee$$ q
B
q
C
($$\sim$$p) $$\wedge$$ q
D
($$\sim$$p) $$\vee$$ ($$\sim$$q)
2
JEE Main 2020 (Online) 2nd September Evening Slot
+4
-1
Which of the following is a tautology ?
A
$$\left( { \sim p} \right) \wedge \left( {p \vee q} \right) \to q$$
B
$$\left( {q \to p} \right) \vee \sim \left( {p \to q} \right)$$
C
$$\left( {p \to q} \right) \wedge \left( {q \to p} \right)$$
D
$$\left( { \sim q} \right) \vee \left( {p \wedge q} \right) \to q$$
3
JEE Main 2020 (Online) 2nd September Morning Slot
+4
-1
The contrapositive of the statement
"If I reach the station in time, then I will catch the train" is :
A
If I will catch the train, then I reach the station in time.
B
If I do not reach the station in time, then I will not catch the train.
C
If I will not catch the train, then I do not reach the station in time.
D
If I do not reach the station in time, then I will catch the train.
4
JEE Main 2020 (Online) 9th January Evening Slot
+4
-1
If p $$\to$$ (p $$\wedge$$ ~q) is false, then the truth values of p and q are respectively :
A
T, T
B
T, F
C
F, T
D
F, F
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