CAT 1999 — DILR Question 14
SyllogismsEasy
Directions: Each question has a main statement followed by four statements labelled A, B, C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement.
If I talk to my professors, then I do not need to take a pill for headache.
A. I talked to my professors.
B. I did not need to take a pill for headache.
C. I needed to take a pill for headache.
D. I did not talk to my professors.
Answer & solution
- A
AB only
- B
DC only
- C
CD only
Ab and CD
Solution
P = I talk to my professors
Q = I do not need to take a pill for headache.
Therefore, both AB(P ⇒ Q) and CD(neg Q ⇒ neg P) are logically consistent, not BA and DC.
(d) ‘AB and CD’ is the correct answer choice.