Let P: We should be honest., Q: We should be dedicated., R: We should be overconfident. Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?
A. ~P V ~Q V R
B. P ∧ ~Q ∧ R
C. P V Q ∧ R
D. P V Q ∧ ~R
Answer:D
Let P: We should be honest., Q: We should be dedicated., R: We should be overconfident. Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?
A. ~P V ~Q V R B. P ∧ ~Q ∧ R C. P V Q ∧ R D. P V Q ∧ ~R
Explanation: The third part of the statement is negated, hence negation operator is used, for (‘or’ –V) is used and for(’but’- ∧).