" />
devarshi-dt-logo

Question:

Consider the following statements: P: Suman is brilliant. Q: Suman is rich. R: Suman is honest. The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as: −P∧(Q↔−R), −Q↔−P∧R, −(Q↔(P∧−R)), −(P∧−R)↔Q

−(Q↔(P∧−R))

−(P∧−R)↔Q

−Q↔−P∧R

−P∧(Q↔−R)

Solution:

Let Q be Suman is rich, P be Suman is brilliant and R be Suman is dishonest.
Suman is brilliant and dishonest if and only if Suman is rich is expressed as Q↔(P∧−R).
Negation of it will be −(Q↔(P∧−R)).
Hence, option 'A' is correct.