This chapter is currently out of syllabus
1
JEE Main 2021 (Online) 22th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
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
Out of Syllabus
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
Out of Syllabus
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
Out of Syllabus
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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