Instructions

DIRECTIONS for questions: 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.

Question 123

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.

Solution

If A => B, then ~B => ~A

Using this logic, we can say that:

I talked to the professors => I did not need to take a pill for headache

I needed to take a pill for headache => I did not talk to the professors.

So, AB and CD are correct.

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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.

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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.