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Question
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
Options
Rajesh did not live in Bangalore or Rajni lives in Bangalore
Rajesh lives in Bangalore and Rajni did not live in Bangalore
Rajesh did not live in Bangalore and Rajni did not live in Bangalore
Rajesh did not live in Bangalore or Rajni did not live in Bangalore
Solution
The negation of the statement “Rajesh or Rajni lived in Bangalore” is rajesh did not live in Bangalore and Rajni did not live in Bangalore.
Explanation:
Let p: Rajesh or Rajni lives in Bengaluru
And q: Rajesh lived in Bengaluru
r: Rajni lived in Bengaluru
~ q: Rajesh did not live in Bengaluru
~ r: Rajni did not live in Bengaluru
∴ ~ (q ∨ r) = (~ q ∧ ~ r): Rajesh did not live in Bengaluru and Rajni did not live in Bengaluru.
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