# The contrapositive of the statement

Question:

The contrapositive of the statement "If you are born in India, then you are a citizen of India", is :

1. (1) If you are not a citizen of India, then you are not born in India.

2. (2) If you are a citizen of India, then you are born in India.

3. (3) If you are born in India, then you are not a citizen of India.

4. (4) If you are not born in India, then you are not a citizen of India.

Correct Option: 1

Solution:

S: "If you are born in India, then you are a citizen of India."

Contrapositive of $p \rightarrow q$ is $\sim q \rightarrow \sim p$

So contrapositive of statement $\mathrm{S}$ will be :

"If you are not a citizen of India, then you are not born in India."