Logical reasoning PrepTest 116 · Section 3 · Question 21

Incorrect. We don't know anything about people who are active in these artistic circles—a some statement can't be contraposed, and we can't take the inverse (i.e., just because some people aren't active in the artistic community doesn't mean that others are).

Correct. Argument or Facts:
Facts

Question Type:
Must Be True

Stimulus Summary:
Participated in cleanup → Community recognition certificate
Participated in cleanup—some—not Active in art circles

Answer Anticipation:
A conditional statement and a quantified statement that share a term? It's time to make an inference based on our quantifier rules!

Here, the sufficient condition of the conditional is shared with the some statement, so we can make an inference. That inference will connect the two non—shared terms, and a conditional plus a some statement results in a some inference (as most quantifier inferences do):
Community recognition certificate—some—not Active in art circles

Answer Explanation:
This answer matches our anticipation. Not all" is the same as "some aren't", so this answer says: Community recognition certificate—some—not Active in art circles. That's the valid inference that can be drawn from the conditional and some statement, so this is correct.

Key Takeaway:
This is a question that can take you under a minute if you know how to note that a question is asking you to make inferences with a quantified statement and how to make that inference. If you don't know those things, it can take much longer. So learn these skills!

Incorrect. This answer is too strong in talking about everyone who participated in the downtown arts fair (No one" is the same as "Everyone didn't") and everyone who received a certificate. It's possible that there are other ways people earned these certificates (for example, maybe volunteering at the downtown arts fair!).

Incorrect. This answer is the reversal of the conditional once you cut through the double negative—Community recognition certificate → Participated in cleanup. Reversals aren't inferrable, so this answer is incorrect.

Incorrect. There's no discussion of the subjective concern of the various individuals in the stimulus. Those active in the artistic circles may very much care for the environment while still choosing to participate in this one art event instead of an environmental one.