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74. 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 (1) ~P ∧ (Q ↔ ~ R) (2) ~ (Q ↔ (P ∧ ~ R)) (3) ~ Q ↔ ~ P ∧ R (4) ~ (P ∧ ~ R) ↔ Q


74. 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



(1) ~P


(Q ~ R) (2) ~ (Q (P ~ R))

(3) ~ Q


~ P R (4) ~ (P ~ R) Q

Grade:12

3 Answers

Mir Noaman Ali IIT-Roorkee
57 Points
10 years ago

suman is brillaint = p .. dis honest = -r so both of these joind by and means (p ^-r) suman is rich =Q  as iff and only iff is used we need to join these 2 by a double arrow .. { (p^-r)bimpliesq } as they have asked the negation so add a minus sign to the whole statement ... - {(p^-r)bimplies q}  which is option 2

ffggfg hkjj
14 Points
10 years ago

can you tell me from which chapter this question has been taken?

Mir Noaman Ali IIT-Roorkee
57 Points
10 years ago

THIS QUESTION IS FROM THE CHAPTER STATEMENTS AND SETS

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