Q. 255.0( 1 Vote )

The negation of the statement

“Rajesh or Rajni lived in Bangalore” is
A. Rajesh did not live in Bangalore or Rajni lives in Bangalore.

B. Rajesh lives in Bangalore and Rajni did not live in Bangalore.

C. Rajesh did not live in Bangalore and Rajni did n ot live in Bangalore.

D. Rajesh did not live in Bangalore or Rajni did not live in Bangalore.

Answer :

If the statement is p then its negation is ~p, it means if p is true then ~p is false and vice versa.

p: Rajesh or Rajni lived in Bangalore


q: Rajesh lived in Bangalore


~q: Rajesh did not lived in Bangalore


r: Rajni lived in Bangalore


~r: Rajni did not lived in Bangalore.


Now,


~(qVr)=~q ~r


Hence, Rajesh did not live in Bangalore and Rajni did n ot live in Bangalore.

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