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Consider the following statements p: S...

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

`~(p^^R)harrQ`

B

`~p^^(Qharr~R)`

C

`~(Qharr (P^^~R))`

D

`~Q harr~P^^R`

Text Solution

Verified by Experts

The correct Answer is:
C
Suman is brilliant and dishonest is `p^^~R` suman is brilliant and dishonest iff suman is rich is
`Q harr (p^^~R)`
Negative of statement is expressed as
`~(Q harr(P^^~R))`
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