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Question
The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is ______.
Options
If Chandigarh is not in India, then Chandigarh is not the capital of Punjab
If Chandigarh is in India, then Chandigarh is Capital of Punjab
If Chandigarh is not capital of Punjab, then Chandigarh is not capital of India
If Chandigarh is capital of Punjab, then Chandigarh is not in India
Solution
The contrapositive of statement ‘If Chandigarh is capital of Punjab, then Chandigarh is in India’ is if Chandigarh is not in India, then Chandigarh is not the capital of Punjab.
Explanation:
Let p: Chandigarh is Capital of Punjab
and q: Chandigarh is in India
~ p: Chandigarh is not Capital of Punjab
~ q: Chandigarh is not in India
If (~ q), then (~ p)
i.e. If Chandigarh is not in India, then Chandigarh is not the Capital of Punjab.
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