JEE Main 2015 Mathematics question
Not in JEE syllabus
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 equivalently expressed as
Answer: (3)
Solution
First translate the statement. "Suman is brilliant and dishonest" is , and "if and only if Suman is rich" makes the whole statement . Now negate it, using the standard equivalence $(X ↔ Y) ≡ ( X) ↔ Y ≡ X
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