JEE Main 2020 (Online) 5th September Evening Slot | Mathematical Reasoning Question 62 | Mathematics

JEE Main 2020 (Online) 5th September Evening Slot

MCQ (Single Correct Answer)

-1

The statement
$$\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)$$ is :

a tautology

a contradiction

equivalent to (p $$ \vee $$ q) $$ \wedge $$ ($$ \sim $$ p)

equivalent to (p $$ \wedge $$ q) $$ \vee $$ ($$ \sim $$ q)

JEE Main 2020 (Online) 5th September Morning Slot

MCQ (Single Correct Answer)

-1

The negation of the Boolean expression x $$ \leftrightarrow $$ ~ y is equivalent to :

$$\left( {x \wedge y} \right) \vee \left( { \sim x \wedge \sim y} \right)$$

$$\left( { \sim x \wedge y} \right) \vee \left( { \sim x \wedge \sim y} \right)$$

$$\left( {x \wedge y} \right) \wedge \left( { \sim x \vee \sim y} \right)$$

$$\left( {x \wedge \sim y} \right) \vee \left( { \sim x \wedge y} \right)$$

JEE Main 2020 (Online) 4th September Evening Slot

MCQ (Single Correct Answer)

-1

Contrapositive of the statement :
‘If a function f is differentiable at a, then it is also continuous at a’, is:

If a function f is continuous at a, then it is not differentiable at a.

If a function f is not continuous at a, then it is differentiable at a.

If a function f is not continuous at a, then it is not differentiable at a.

If a function f is continuous at a, then it is differentiable at a.

JEE Main 2020 (Online) 4th September Morning Slot

MCQ (Single Correct Answer)

-1

Given the following two statements:

$$\left( {{S_1}} \right):\left( {q \vee p} \right) \to \left( {p \leftrightarrow \sim q} \right)$$ is a tautology

$$\left( {{S_2}} \right): \,\,\sim q \wedge \left( { \sim p \leftrightarrow q} \right)$$ is a fallacy. Then:

both (S₁) and (S₂) are not correct

only (S₁) is correct

only (S₂) is correct

both (S₁) and (S₂) are correct

PREVIOUS NEXT