Any of the following could be true of the seven employees EXCEPT:

armoash on January 29, 2020

Help with question 6 on Logic Games

Can you please further explain how the correct answer is B for question 6?

Skylar on January 29, 2020

@armoash, happy to help.

We are looking for the only answer choice that CANNOT be true.

Let's try to create a scenario in which (B) is true.

First, we'll try to maximize the number of \$1k bonuses we assign.
- Rule 1 tells us that nobody in the Graphics department can be assigned \$1k, which only leaves K, L, M, P as options for recipients of \$1k.
- However, Rule 3 tells us that L and M are rated Highly Effective, and Rule 2 tells us that this means they receive a larger bonus than the other employees in their department do. So, L and M cannot receive \$1k bonuses because they must receive than K and P do. This leaves only K and P as options for recipients of \$1k.
- Therefore, we can assign \$1k bonuses to a maximum of 2 people.

Now, we'll try to minimize the number of \$3k bonuses we assign.
- Based off Rule 1, the lowest that we can assign to V, X, and Z is \$3k.
- However, Rule 2 tells us that Highly Effective employees receive a larger bonus than the other employees in their department, and Rule 3 tells us that X was rated Highly Effective. This means that X must be assigned \$5k, while V and Z are assigned \$3k.
- Therefore, we must assign \$3k bonuses to a minimum of 2 people.

Our final scenario is as follows:
K: 1
L: (3/5)
M: (3/5)
P: 1
V: 3
X: 5
Z: 3

This scenario shows that we can only have 2 bonuses of \$1k, while we can have anywhere from 2 - 4 bonuses of \$3k. So, there will always be at least as many \$3k bonuses as there are \$1k bonuses. Therefore, it is impossible to assign a greater number of \$1k bonuses than of \$3k bonuses, making (B) the only answer choice that CANNOT be true.

Does that make sense? Please let us know if you have any other questions!