The negation of the following statement P: Neha lives in Ludhiana or she lives in Gurudaspur.
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a
Neha does not live in Ludhiana or she does not live in Gurudaspur.
b
Neha does not live in Ludhiana and she does not live in Gurudaspur
c
Neha does not live in Punjab.
d
None of these.
answer is B.
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Detailed Solution
Let p and q be the statements defined as follows p : Neha lives in Ludhiana q : Neha lives in Gurudaspur. The statement P is P:p∨qNegation of p is ~P:∼(p∨q)or ~P:(~p)∧(~q) [∵∼(p∨q)≡(~p)∧(~q)]Thus, negation of P is given by (b)