Embibe Experts Solutions for Chapter: Mathematical Reasoning, Exercise 1: EXERCISE-1

If  $p, q, r$ are simple statement with truth values $T, F, T$ respectively then the truth value of $\left(\left(~p\vee q\right)\wedge ~r\right)\to p$ is-

Which of the following is wrong-

The statement "If $2^2=5$ then I get first class" is logically equivalent to-

If statement $\left(p\vee ~r\right)\to \left(q\wedge r\right)$ is false and statement $q$ is true then statement $p$ is-

Which of the following statements are not logically equivalent-

Consider the following statements

$p:$ Virat kohli plays cricket

$q:$ Virat kohli is good at maths

$r:$ Virat kohli is successful

Then negation of the statement "If Virat kohli plays cricket and is not good at maths then he is successful" will be-

Which of the following is a tautology:-

Negation of the statement "No one in the class is fond of music" is:-