The Lost Boys Questions - - Question 3

Which one of the following is a pair of employees who could serve as managers together?

Julie-V August 16, 2019

Answer Explanation

Hi LSAT Max, Can someone explain how to get to the correct answer, especially in light of the fact that there is no video explanation? I was able to eliminate (A) and (B) since F was established as a technician. I wasn't sure how to go about eliminating any of the other choices, however, since G could be a president or manager and there were no restrictions for K and L. Thanks!

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shunhe January 8, 2020

Hi @Julie-V,

Thanks for the question! Good job on eliminating (A) and (B), as well. We need to find a pair of employees who can serve as managers together. There's a quick shortcut way to do this problem and there's a more thorough, longer way to do it. Let me give you the quick way first.

Note that there are rules pertaining to F and G, but nothing in the rules pertains to H, K, or L. This essentially means that for our purposes, H, K, and L are interchangeable. I like to mark when pieces don't have rules attached to them by writing out all the letters and circling the letters without rules. When multiple pieces don't have any rules attached to them, we can switch time around with each other and face no consequences. There's nothing that differentiates them in anyway. Now, we've gotten rid of (A) and (B). Notice that two of the answer choices involve G and one of the interchangeable pieces. (C) has G and K, and (D) has G and L. But K and L should be interchangeable, which means that these two answer choices are basically telling us the same thing. We know, however, that only one answer choice can be right, and so we can eliminate both of them and pick (E), which has two of the interchangeable parts. When using this tactic, make sure that the parts are truly interchangeable. It can definitely save you a lot of time though.

Now for the long way, where we actually walk through it. We've eliminated (A) and (B). Can G and K or L serve as managers together? We know that G supervise two employees, and that supervised employees hold different positions than supervisors. There are 5 total pieces, so if G supervises two of them, there could be 3 or 4 total layers (not necessarily in the following order, and people on higher layers supervise the layer directly beneath them):

President
G
Two supervisees of G
Last person

President
G + someone else
Two supervisees of G

Ex hypothesi, G is a manager, so G isn't the president. We can only have one president, and G supervises exactly two employees, which accounts for four people (the president isn't supervised, so isn't one of the two employees G supervises). The last person is either on the same level as G or on their own level. If they're on the same level as G, then they can't be a manager since there's no one left to supervise, and the two employees G supervises can't be managers, since they don't have anyone to supervise, so we know that the last person has their own layer. There's 2 possibilities (since, once again, only the president isn't supervised):

President
Last person
G
Two supervisees of G

President
G
Two supervisees of G
Last person

In the first scenario, neither the two supervisees of G nor the last person can be managers because each supervised employee holds a different position than his or her supervisor. In the second scenario, the two supervisees of G can't be a manager for the same reason, and the last person can't be a manager because then they don't supervise anyone, but each manager supervises at least one employee. So we know that it can't be G and one of the others, so we can eliminate (C) and (D). Hope this helps!