Javascript is required
1
JEE Main 2021 (Online) 18th March Evening Shift
MCQ (Single Correct Answer)
+4
-1
If P and Q are two statements, then which of the following compound statement is a tautology?
A
((P $$ \Rightarrow $$ Q) $$ \wedge $$ $$ \sim $$ Q) $$ \Rightarrow $$ (P $$ \wedge $$ Q)
B
((P $$ \Rightarrow $$ Q) $$ \wedge $$ $$ \sim $$ Q) $$ \Rightarrow $$ Q
C
((P $$ \Rightarrow $$ Q) $$ \wedge $$ $$ \sim $$ Q) $$ \Rightarrow $$ P
D
((P $$ \Rightarrow $$ Q) $$ \wedge $$ $$ \sim $$ Q) $$ \Rightarrow $$ $$ \sim $$ P
2
JEE Main 2021 (Online) 17th March Evening Shift
MCQ (Single Correct Answer)
+4
-1
If the Boolean expression $$(p \wedge q) \odot (p \otimes q)$$ is a tautology, then $$ \odot $$ and $$ \otimes $$ are respectively given by :
A
$$ \vee , \to $$
B
$$ \to $$, $$ \to $$
C
$$ \wedge $$, $$ \vee $$
D
$$ \wedge $$, $$ \to $$
3
JEE Main 2021 (Online) 17th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
If the Boolean expression (p $$ \Rightarrow $$ q) $$ \Leftrightarrow $$ (q * ($$ \sim $$p) is a tautology, then the boolean expression (p * ($$ \sim $$q)) is equivalent to :
A
q $$ \Rightarrow $$ p
B
p $$ \Rightarrow $$ q
C
p $$ \Rightarrow $$ $$ \sim $$ q
D
$$ \sim $$q $$ \Rightarrow $$ p
4
JEE Main 2021 (Online) 16th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
Which of the following Boolean expression is a tautology?
A
(p $$ \wedge $$ q) $$ \vee $$ (p $$ \to $$ q)
B
(p $$ \wedge $$ q) $$ \vee $$ (p $$\vee$$ q)
C
(p $$ \wedge $$ q) $$ \to $$ (p $$ \to $$ q)
D
(p $$ \wedge $$ q) $$ \wedge $$ (p $$ \to $$ q)
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