Consider the following statementsP : Suman is brilliant.Q : Suman is rich.R : Suman is honest.The negative of the statement. 'Suman is brilliant and dishonest, if and only if Suman is rich.' can be expressed as
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a
~(Q↔(P∧~R))
b
~Q↔P∧R
c
~(P∧~R)↔Q
d
~P∧(Q↔∼R)
answer is A.
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Detailed Solution
Suman is brilliant and dishonest, if and only if Suman isrich, is expressed as, Q↔(P∧~R).'. Negation of it will be, ~(Q↔(P∧~R))
Consider the following statementsP : Suman is brilliant.Q : Suman is rich.R : Suman is honest.The negative of the statement. 'Suman is brilliant and dishonest, if and only if Suman is rich.' can be expressed as