Consider the following three statements: |
P : 5 is a prime number. |
Q : 7 is a factor of 192. |
R : L.C.M.of5 and 7 is 35. |
Then the truth value of which one of the following statements is true? |
A) \[(\tilde{\ }P)\vee (Q\wedge R)\]
B) \[(P\wedge Q)\vee (\tilde{\ }R)\]
C) \[(\tilde{\ }P)\wedge (\tilde{\ }Q\wedge R)\]
D) \[P\vee (\tilde{\ }Q\wedge R)\]
Correct Answer: D
Solution :
P is True |
Q is False |
R is True |
\[\therefore \]\[\tilde{\ }Q\]is True |
\[\tilde{\ }Q\wedge R\]is True |
\[\therefore \]\[\tilde{\ }Q\wedge R\]is True. |
\[\therefore \]\[P\vee (\tilde{\ }Q\wedge R)\] is True. |
You need to login to perform this action.
You will be redirected in
3 sec