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The contrapositive of statement 'If Chandigarh is capital of Punjab , then Chandigarh is in India" is

A

if Chandigarh is not in India, then Chandigarh is not the of punjab

B

if Chandigarh is in India is India, the chandigarh is not the capital of Punjab

C

if Chandigarh is notcapital of Punjab , then Chandigarh is not capital of India.

D

If Chandigarh is not Capital of Punjab, then Chandigarh is not is India.

Text Solution

Verified by Experts

The correct Answer is:
A
Let p: Chandigah is capital of Punjab.
and q: Chandigrah is in India.
~p : Chandigrah is not capital of Punjab.
~q : Chandigarh is not in India.
Constrapositive of the statement `p to q` is
if (~q), then (~p)
If Chandigarh is not in India, then Chandigarh is not the capital of Punjab.
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