The contrapositive of the statement "If you are born in India, then you are a citizen of India", is :
JEE · Math · previous-year question
- A.If you are not a citizen of India, then you are not born in India.correct
- B.If you are born in India, then you are not a citizen of 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
A. If you are not a citizen of India, then you are not born in India.
Explanation
Let p = you are born in India. q = you are a citizen of India. $$ \therefore $$ $$ \sim $$ p = you are not born in India. $$ \sim $$ q = you are not a citizen of India. We know Contrapositive of p $$ \to $$ q is q $$ \to $$ p So contrapositive of statement will be : “If you are not a citizen of India, then you are not born in India.”
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