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Given three statements P: 5 is a prime n...

Given three statements P: 5 is a prime number, Q:7 is a factor of 192, R:The LCM of 5 & 7 is 35 Then which of the following statements are true (a) `Pv(~Q^^R)` (b) `~P^^(~Q^^R)` (c) `(PvQ)^^~R` (d) `~P^^(~Q^^R)`

A

`(P wedge Q) vee(squareR)`

B

`P vee(squareQ wedgeR)`

C

`(squareP)vee(Q wedgeR)`

D

`(squareP) wedge(squareQ wedgeR)`

Text Solution

Verified by Experts

The correct Answer is:
B
P is true
Q is false
R is true
Option (2) `Pvee(square Q wedgeR)`
`T vee (T wedgeT)`
`T vee (T)=T`
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