Question

If $p$ and $q$ are two statements then $(p\leftrightarrow \sim q)$ is true when

• A. $p$ and $q$ both are true.
• B. $p$ and $q$ both are false.
• C. $p$ is false and $q$ is true.
• D. None of these.

Answer 1

The correct option is C $p$ is false and $q$ is true.

$(p\leftrightarrow \sim q)$ will be true

if both $p$ and $\sim q$ are true $⟹p$ is true and $q$ is false

Or if both $p$ and $\sim q$ are true $⟹p$ is false and $q$ is true