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."

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