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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.

1. I talked to my professors.
2. I did not need to take a pill for headache.
3. I needed to take a pill for headache.
4. I did not talk to my professors.
1. AB only
2. DC only
3. CD only
4. AB and CD

## 1 Answer

Best answer
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.
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