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
(a) ~ [Q ↔ (P ∧ ~ R)]
(b) ~ Q ↔ P ∧ R
(c) ~ ( P ∧ ~ R) ↔ Q
(d) ~ P ∧ (Q ↔ ~ R)
Correct option is (a) ~ [Q ↔ (P ∧ ~ R)]
Explanation:
Suman is brilliant and dishonest if and only if Suman is rich, is expressed as,
