CAT 1999 | Question: 124

Question

The 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.
  1. AB only
  2. DC only
  3. CD only
  4. AB and CD

Answer 1

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.

Hence Option$:(4) \; \text{AB and CD}$ is the correct answer choice.