If Kwon is assigned to be treasurer for exactly two of the committees, then any of the following could be true EXCEPT:

on June 7 at 08:28PM

Can you please help with the set up of this game?

I do not know what inferences to make here

1 Reply

Victoria on June 8 at 12:52AM

Hi @Bryan,

Let's start by going through the information provided to us.

There are five volunteers: Haddad, Joslin, Kwon, Melina, and Nash (H, J, K, M, and N)

These five volunteers will be assigned to three committees: X, Y, and Z

Each committee will have exactly three volunteers assigned to it, with each volunteer on a committee holding exactly one of three positions - leader, secretary, or treasurer (L, S, or T)

Based on the information provided, we can set up the game in a grid format with positions listed along the top and committees listed down the side with blank spaces in each grid square for volunteers.

L S T
X: _ _ _
Y: _ _ _
Z: _ _ _

Now, let's go through the conditions.

1) If N is assigned to a committee, N must be the leader for that committee.

From this, we can conclude that N must always hold position L of any committee that they are on.

2) M must be assigned to exactly one committee.

M can either be on committee X or Y or Z. If M and N are on the same committee, then M must be either S or T.

3) K must be assigned to Y but cannot be assigned to Z.

K must be on committee Y and can potentially be on committee X but cannot be on committee Z. If K and N are on the same committee, then K must either hold position S or T.

4) J must be the S for committee Y but cannot be assigned to X or Z.

This is the only position that J can hold.

We can now map out:

L S T
X: _ _ _
Y: _ J _ K
Z: _ _ _

We also know that K must be on committee Y. If N is also on committee Y, then K can only hold position T.

Now that we understand all the conditions and have a rudimentary set-up, let's go through question 1 together.

"If K is assigned to be T for exactly two of the committees, then any of the following could be true except." This means that we are looking for the answer choice which cannot be true.

We know that K cannot be on committee Z. Therefore, with the additional condition imposed by this question, K must be the T for committees X and Y. This results in the following set-up:

L S T
X: _ _ K
Y: _ J K
Z: _ _ _

These positions must be filled under this scenario. This means that C is the correct answer because K must be T on committee X and, as each position is only filled by one volunteer per committee, H cannot also hold this position on committee X.

When setting up logic games, make sure you go through and map out all the conditions first as well as mapping out the most complete set-up possible based on the information provided. If you have a thorough understanding of all the conditions and the limitations that they place on the set-up, then it should be relatively easy to work your way through answer choices as demonstrated above.

Hope this is helpful! Please let us know if you have any further questions.