\'If you are born in India then you are citizen of India\'\' contrapositive of this statement is (A) If you are born in India then you are not citizen of India (B) If you are not citizen of India then you are not born in India (C) If you are citizen of India then you are not born in India (D) If you are citizen of India then you are born in India

Options

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

Explanation

To find the contrapositive of the statement "If you are born in India, then you are a citizen of India," we can follow these steps:

### Step 1: Identify the Components of the Statement
- Let \( P \) represent "You are born in India."
- Let \( Q \) represent "You are a citizen of India."

### Step 2: Write the Original Statement
The original statement can be expressed as:
\[ P \implies Q \]
This reads as "If \( P \) (you are born in India), then \( Q \) (you are a citizen of India)."

### Step 3: Formulate the Contrapositive
The contrapositive of a statement \( P \implies Q \) is given by:
\[ \neg Q \implies \neg P \]
This means "If not \( Q \) (you are not a citizen of India), then not \( P \) (you are not born in India)."

### Step 4: Write the Negations
- The negation of \( Q \) (you are a citizen of India) is:
- \( \neg Q \): "You are not a citizen of India."
- The negation of \( P \) (you are born in India) is:
- \( \neg P \): "You are not born in India."

### Step 5: Combine the Negations into the Contrapositive Statement
Thus, the contrapositive statement is:
"If you are not a citizen of India, then you are not born in India."

### Step 6: Compare with the Options
Now, we check the options given:
- (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 not born in India.
- (D) If you are a citizen of India then you are born in India.

The correct option that matches our contrapositive statement is:
**(B) If you are not a citizen of India then you are not born in India.**

### Final Answer
The contrapositive of the statement is:
**(B) If you are not a citizen of India then you are not born in India.**

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