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Q.

Consider the following statements
P: Suman is Brilliant
Q: Suman is Rich
R: Suman is Honest
The negation of statement “Suman is Brilliant and dishonest if and only if Suman is rich”. Can be expressed as

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a

$(P \land ~ R) \leftrightarrow Q$

b

$~ (Q \leftrightarrow (P \land ~ R))$

c

$~ Q \leftrightarrow P \land R$

d

$~ P \land (Q \leftrightarrow ~ R)$

answer is A.

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$~ ((P \land ~ R) \leftrightarrow Q) = ~ (Q \leftrightarrow (P \land ~ R))$

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Consider the following statementsP: Suman is BrilliantQ: Suman is RichR: Suman is HonestThe negation of statement “Suman is Brilliant and dishonest if and only if Suman is rich”. Can be expressed as