Q. 325.0( 1 Vote )

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 capital of Punjab.

B. If Chandigarh is in India, then Chandigarh is Capital of Punjab.

C. If Chandigarh is not capital of Punjab, then Chandigarh is not capital of India.

D. If Chandigarh is capital of Punjab, then Chandigarh is not in India.

Answer :

Let p:Chandigarh is the capital of Punjab


q: Chandigarh in India.


~p: Chandigarh is not Capital of Punjab


~q: Chandigarh is not in India.


Since,


If (~q), then (~p)


Therefore,


If chandigarh is not in India, then Chandigarh is not the capital is not the capital of Punjab.

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