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Question

Mathematics Question on Statements

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

A

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

B

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

C

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

D

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

Answer

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

Explanation

Solution

The contrapositive of statement pqp \to q is qp\sim q \to \sim p Here, p : you are born in India. q : you are citizen of India. So, contrapositive of above statement is " If you are not a citizen of India, then you are not born in India".