Choose the answer that must be true from the given facts. Three original questions below. No timer. Check each answer and read the explanation before moving on.
Question 1
All of the conference speakers arrived by train. Some of the conference speakers are engineers.
Which of the following must be true?
Show explanation
Some speakers are engineers, and every speaker arrived by train. So some engineers (the speaker ones) arrived by train. C overreaches: we only know about the speakers.
Question 2
The store's return policy allows returns within 30 days with a receipt. Maya returned a lamp on day 29 with her receipt, and the return was accepted.
Which of the following is most strongly supported?
Show explanation
Day 29 is within 30 days and she had a receipt, so her return fit the policy. Nothing supports the stronger claims in the other choices.
Question 3
Whenever it rains, the soccer field is closed. The field is open today.
What can be properly inferred?
Show explanation
Rain always means a closed field. The field is open, so it is not raining. Classic contrapositive.