Question

Suppose $p : A$ natural number $n$ is odd and $q : A$ natural number $n$ is not divisible by $2$, then the biconditional statement $p \Leftrightarrow q$ is

• A. A natural number $n$ is odd, if and only if it is divisible by $2$
• B. A natural number $n$ is odd, if and only if it is not divisible by $2$
• C. If a natural number $n$ is odd, then it is not divisible by $2$
• D. None of these

Answer 1

Answer: (B)

Given $p : A$ natural number $n$ is odd and $q :$ natural number n is not divisible by $2$.
The biconditional statement $p \Leftrightarrow q$ i.e., "A natural number n is odd if and only if it is not divisible by $2$".