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1
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
$$ \wedge $$, $$ \to $$
2
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
3
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)
4
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Let F1(A, B, C) = (A $$ \wedge $$ $$ \sim $$ B) $$ \vee $$ [$$\sim$$C $$\wedge$$ (A $$\vee$$ B)] $$\vee$$ $$\sim$$ A and
F2(A, B) = (A $$\vee$$ B) $$\vee$$ (B $$ \to $$ $$\sim$$A) be two logical expressions. Then :
A
Both F1 and F2 are not tautologies
B
F1 and F2 both are tautologies
C
F1 is not a tautology but F2 is a tautology
D
F1 is a tautology but F2 is not a tautology
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