The statement $\left(p\to q\right)\to \left[\left(~p\to q\right)\to q\right]$ is

Important Questions on Mathematical Reasoning

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 8th April 2017>Q 58

The proposition $\left(~p\right)\vee \left(p\wedge ~q\right)$ is equivalent to

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th April 2017>Q 59

The contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 9th April 2016>Q 60

Consider the following two statements:

$P$ : If $7$ is an odd number, then $7$ is divisible by $2$.

$Q$ : If $7$ is a prime number, then $7$ is an odd number.

If $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of contrapositive of $Q$, then the ordered pair $\left(V_1,V_2\right)$ equals

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 3rd April 2016>Q 61

The Boolean Expression $\left(p\wedge \sim q\right) \vee q\vee \left(\sim p\wedge q\right)$ is equivalent to

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 10th April 2016>Q 62

The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 10th April 2015>Q 63

The contrapositive of the statement "If it is raining, then I will not come", is

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 4th April 2015>Q 64

The negation of $\backsim s\vee \left(\backsim r\wedge s\right)$ is equivalent to

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Mathematical Reasoning>JEE Main - 11th April 2015>Q 65

Consider the following statements:

P: Suman is brilliant

Q: Suman is rich

R: Suman is honest

The negation of the statement, "Suman is brilliant and dishonest if and only if Suman is rich" can be equivalently expressed as