Negation of $2+3=5$ and $8<10$ is

Important Questions on Mathematical Reasoning

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Work Book Exercise>Q 4

If Ram secures $100$ marks in Mathematics, then he will get a mobile. The converse is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Work Book Exercise>Q 5

For the following three statements
$p: 2$ is an even number.
$q: 2$ is a prime number.
$r :$ Sum of two prime numbers is always even.
Then, the symbolic statements $\left(p\wedge q\right)\to ~r$ means

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Work Book Exercise>Q 6

The dual of the statement $\left(p\wedge q\right)\wedge ~q\equiv \left(p\vee ~q\right)$ is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Work Book Exercise>Q 7

If $p, q$ and $r$ are simple propositions with truth values true, false and true respectively, then the truth value of $\left(\left(~p\vee q\right)\wedge ~r\right)\Rightarrow p$ is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Work Book Exercise>Q 8

Which of the following is always true?

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Work Book Exercise>Q 9

Let $p$ and $q$ be two statements. Then, $\left(~p\vee q\right)\wedge \left(~p\wedge ~q\right)$ is a

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Work Book Exercise>Q 10

Which of the following is wrong statement?

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 19 - Mathematical Reasoning>Target Exercises>Q 1

Which of the following is a statement?