Javascript is required
1
JEE Main 2021 (Online) 22th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Which of the following Boolean expressions is not a tautology?
A
(p $$\Rightarrow$$ q) $$ \vee $$ ($$ \sim $$ q $$\Rightarrow$$ p)
B
(q $$\Rightarrow$$ p) $$ \vee $$ ($$ \sim $$ q $$\Rightarrow$$ p)
C
(p $$\Rightarrow$$ $$ \sim $$ q) $$ \vee $$ ($$ \sim $$ q $$\Rightarrow$$ p)
D
($$ \sim $$ p $$\Rightarrow$$ q) $$ \vee $$ ($$\sim$$ q $$\Rightarrow$$ p)
2
JEE Main 2021 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Consider the following three statements :

(A) If 3 + 3 = 7 then 4 + 3 = 8

(B) If 5 + 3 = 8 then earth is flat.

(C) If both (A) and (B) are true then 5 + 6 = 17.

Then, which of the following statements is correct?
A
(A) is false, but (B) and (C) re true
B
(A) and (C) are true while (B) is false
C
(A) is true while (B) and (C) are false
D
(A) and (B) are false while (C) is true
3
JEE Main 2021 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
The Boolean expression $$(p \wedge \sim q) \Rightarrow (q \vee \sim p)$$ is equivalent to :
A
$$q \Rightarrow p$$
B
$$p \Rightarrow q$$
C
$$ \sim q \Rightarrow p$$
D
$$p \Rightarrow \, \sim q$$
4
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
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