The negation of the statement “Rajesh or Rajni lived in Bangalore” is

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

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

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

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

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Solution

The correct option is B Rajesh did not live in Bangalore and Rajni did not live in Bangalore.
Given statement: “Rajesh or Rajni lived in Bangalore”

Let p: Rajesh lived in Bangalore.

q: Rajni lived in Bangalore.

Given statement is $p \lor q$

~p: Rajesh did not live in Bangalore.

~q: Rajni did not live in Bangalore.

$∴$ Negation of the statement $(p \lor q)$ is ~p $\land$ ~q

$∴$ The Negation of the given statement is "Rajesh did not live in Bangalore and Rajni did not live in Bangalore".

$∴$ Option (C) is correct.

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Similar questions

Write the negation of the following statements :

(i) Bangalore is the capital of Karnataka.

(ii) It rained on July 4, 2005.

(iii) Ravish is honest.

(iv) The earth is round.

(v) The sun is cold.

\sqrt{5}

5

6

36

Write the negation of the following compound statement.

'Square of an integer is positive or negative'.

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