Embibe Experts Solutions for Chapter: Mathematical Reasoning, Exercise 1: Level 1

Consider the statement $p$ : "New Delhi is a city". Which of the following is not negation of $p$?

The proposition $~(p\iff q)$ is equivalent to

$~\left(\left(~p\right)\wedge q\right)$ is equal to

The negation of the statement $(p\wedge q)\to (~p\vee r)$ is

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

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

The statement $~(p\wedge q)\vee q$

Negation of the statement $\left(p\wedge r\right)\to \left(r\vee q\right)$ is