Q55 / 90 · JEE Main 2019 (08 Apr Shift 1) · Mathematics

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

A
If you are not born in India, then you are not a citizen of India.
B
If you are a citizen of India, then you are born in India.
C
If you are born in India, then you are not a citizen of India.
Correct answer
D
If you are not a citizen of India, then you are not born in India.

Solution

As we know, contrapositive of

p \to q

is

\sim q \to \sim p

Hence, required contrapositive statement is “If you are not a citizen of India, then you are not born in India”.

Hence, the correct answer is option: 'D'.

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