If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Course: LSAT > Unit 1

Lesson 5: Analytical Reasoning – Worked examples

Grouping setup | New info–could be true 2 | Worked example

Watch a demonstration of one way to approach questions that ask you to identify what could be true, given new information on an LSAT analytical reasoning grouping setup. Created by Annie Hollister.

Want to join the conversation?

Video transcript

- [Woman] If exactly two of the costumes have yellow in them, then which one of the following could be false? With this question, we wanna add the new information, that two costumes have yellow in them, to the information we already have and the inferences we've already made, and then cross out things that must be true given that information. So, first, let's think about what we know. We know that indigo and yellow are paired, so, if two of the costumes have yellow in them, then two of the costumes must also have indigo in them. So, we can add that to out diagram like this. We also know, as we figured out before, that one of the costumes is red, white, and orange, because red can't be paired with indigo or green, and indigo and yellow are paired, so red also can't be with yellow, which means that red has to be with white and orange. So, if exactly two of the costumes have yellow in them, what else must be true? Since green has to appear somewhere in the three costumes, one of these costumes is indigo, yellow, and green. Since no two costumes have the same color combination, the other indigo-yellow costume can't be indigo, yellow, and green. It could be indigo, yellow, and white, or indigo, yellow, and orange. So, we can write that like this. Now, let's cross off choices that must be true. For instance, if exactly two of the costumes have yellow in them, then it must be true that exactly two of the costumes have indigo in them, because indigo and yellow are paired. We also figured out that exactly one of the costumes has both green and indigo in it, because green has to appear somewhere, but, we also know that no two costumes can be exactly the same, so, it can't be the case that two costumes have both green and indigo. Exactly one of the costumes has both red and white in it. Well, that has to be true no matter what, whether or not two of the costumes have yellow in them. We already figured out that red has to be paired with white and orange, and that only one costume can have red, white, and orange, so that definitely must be true. Exactly one of the costumes has green in it. Well, we already figured out that, if two of the costumes have yellow in them, then exactly one of the costumes is indigo, yellow, and green, and no two costumes are the same color combination, only one of the costumes has green in it. Finally, exactly one of the costumes has white in it. Well, this could be either true or false. We know that one of the costumes, the red, white, and orange one, has white in it, and we know that one of the costumes definitely doesn't have white in it, because it's indigo, yellow, and green, but, the third costume could have white in it or not. It could be indigo, yellow, and white, or indigo, yellow, and orange. So, this could be false. It could be false that exactly one of the costumes has white in it.