JEE Main 2022 (Online) 24th June Morning Shift | Mathematical Reasoning Question 47 | Mathematics

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 :

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Which of the following is equivalent to the Boolean expression p $$\wedge$$ $$\sim$$ q ?

$$\sim$$ (q $$\to$$ p)

$$\sim$$ p $$\to$$ $$\sim$$ q

$$\sim$$ (p $$\to$$ $$\sim$$ q)

$$\sim$$ (p $$\to$$ q)

JEE Main 2021 (Online) 31st August Evening Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Negation of the statement (p $$\vee$$ r) $$\Rightarrow$$ (q $$\vee$$ r) is :

p $$\wedge$$ $$\sim$$ q $$\wedge$$ $$\sim$$ r

$$\sim$$ p $$\wedge$$ q $$\wedge$$ $$\sim$$ 4

$$\sim$$ p $$\wedge$$ q $$\wedge$$ r

p $$\wedge$$ q $$\wedge$$ r

JEE Main 2021 (Online) 31st August Morning Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

Let *, ▢ $$\in$${$$\wedge$$, $$\vee$$} be such that the Boolean expression (p * $$\sim$$ q) $$\Rightarrow$$ (p ▢ q) is a tautology. Then :

* = $$\vee$$, ▢ = $$\vee$$

* = $$\wedge$$, ▢ = $$\wedge$$

* = $$\wedge$$, ▢ = $$\vee$$

* = $$\vee$$, ▢ = $$\wedge$$

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