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

Which one statement gives the same meaning of statement "If you watch television, then your mind is free and if your mind is free then you watch television"?

The contrapositive of statement "Something is cold implies that it has low temperature" is

Consider the following statements:
$p$ : I have the raincoat
$q$ : I cannot walk in the rain

The proposition "If I walk in the rain then I do not have the raincoat" is represented by

The contrapositive of the statement "$p$ implies $q$ " is

The contrapositive of $\left(p\wedge q\right)\Rightarrow r$ is

The contrapositive of $p\to \left(~q\to ~r\right)$ is

Negation of the following statement "Every natural number is greater than $0$ " is

Consider the statement

$p$ : "Everyone in Germany speaks German"

Which of the following is not negation of $p$?