Verified Solution • 2025–26 Session moderate

QJEEM19Macff6: JEE Main 2019 Mathematics - Class 11 JEEM19Macff6 Solution: The contrapositive of the statement "If you are born in India,…

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

Multiple Choice Options

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

Step-by-Step Verified Solution

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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