This chapter is currently out of syllabus
1
JEE Main 2022 (Online) 24th June Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The number of choices for $$\Delta \in \{ \wedge , \vee , \Rightarrow , \Leftrightarrow \} $$, such that

$$(p\Delta q) \Rightarrow ((p\Delta \sim q) \vee (( \sim p)\Delta q))$$ is a tautology, is :

A
1
B
2
C
3
D
4
2
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Which of the following is equivalent to the Boolean expression p $$\wedge$$ $$\sim$$ q ?
A
$$\sim$$ (q $$\to$$ p)
B
$$\sim$$ p $$\to$$ $$\sim$$ q
C
$$\sim$$ (p $$\to$$ $$\sim$$ q)
D
$$\sim$$ (p $$\to$$ q)
3
JEE Main 2021 (Online) 31st August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Negation of the statement (p $$\vee$$ r) $$\Rightarrow$$ (q $$\vee$$ r) is :
A
p $$\wedge$$ $$\sim$$ q $$\wedge$$ $$\sim$$ r
B
$$\sim$$ p $$\wedge$$ q $$\wedge$$ $$\sim$$ 4
C
$$\sim$$ p $$\wedge$$ q $$\wedge$$ r
D
p $$\wedge$$ q $$\wedge$$ r
4
JEE Main 2021 (Online) 31st August Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let *, ▢ $$\in$${$$\wedge$$, $$\vee$$} be such that the Boolean expression (p * $$\sim$$ q) $$\Rightarrow$$ (p ▢ q) is a tautology. Then :
A
* = $$\vee$$, ▢ = $$\vee$$
B
* = $$\wedge$$, ▢ = $$\wedge$$
C
* = $$\wedge$$, ▢ = $$\vee$$
D
* = $$\vee$$, ▢ = $$\wedge$$
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