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Questions
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1
JEE Main 2020 (Online) 3rd September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Let p, q, r be three statements such that the truth value of
(p $$ \wedge $$ q) $$ \to $$ ($$ \sim $$q $$ \vee $$ r) is F. Then the truth values of p, q, r are respectively :
A
T, F, T
B
F, T, F
C
T, T, T
D
T, T, F
2
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+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)
3
JEE Main 2020 (Online) 2nd September Evening Slot
MCQ (Single Correct Answer)
+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
$$\left( { \sim q} \right) \vee \left( {p \wedge q} \right) \to q$$
4
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+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.
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