JEE Main 2018 (Offline) | Mathematical Reasoning Question 93 | Mathematics

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JEE Main 2018 (Offline)

MCQ (Single Correct Answer)

-1

The Boolean expression

$$ \sim \left( {p \vee q} \right) \vee \left( { \sim p \wedge q} \right)$$ is equvalent to

$${ \sim q}$$

$${ \sim p}$$

JEE Main 2018 (Online) 15th April Evening Slot

MCQ (Single Correct Answer)

-1

Consider the following two statements :

Statement p :
The value of sin 120^o can be derived by taking $$\theta = {240^o}$$ in the equation
2sin$${\theta \over 2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta } $$

Statement q :
The angles A, B, C and D of any quadrilateral ABCD satisfy the equation
cos$$\left( {{1 \over 2}\left( {A + C} \right)} \right) + \cos \left( {{1 \over 2}\left( {B + D} \right)} \right) = 0$$

Then the truth values of p and q are respectively :

F, T

T, F

T, T

F, F

JEE Main 2018 (Online) 15th April Morning Slot

MCQ (Single Correct Answer)

-1

If (p $$ \wedge $$ $$ \sim $$ q) $$ \wedge $$ (p $$ \wedge $$ r) $$ \to $$ $$ \sim $$ p $$ \vee $$ q is false, then the truth values of $$p, q$$ and $$r$$ are, respectively :

F, T, F

T, F, T

T, T, T

F, F, F

JEE Main 2017 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-1

Contrapositive of the statement

‘If two numbers are not equal, then their squares are not equal’, is :

If the squares of two numbers are equal, then the numbers are equal.

If the squares of two numbers are equal, then the numbers are not equal.

If the squares of two numbers are not equal, then the numbers are not equal.

If the squares of two numbers are not equal, then the numbers are equal.