If Kate is scheduled for Wednesday, which one of the following could be true?

Irina on July 29, 2019

@mbarnett1,

Let's look at the setup for this game.

H I K N V appear on 5 consecutive days M-F

We can diagram the rules as follows:

(1) N is not scheduled for M

__ __ __ __ __
M T W Th F
~N

(2) If H is scheduled on M, then N is scheduled on F

H(M) -> N(F)

(3) if N is scheduled on T, I is scheduled on M

N(T) -> I(M)

(4) K is scheduled for the next day after V

VK

We are asked to determine which of the following could be true if K is scheduled for W. Let's diagram this condition:
K
__ __ __ __ __
M T W Th F
~N

Per rule (4), we know that V must be scheduled for T
V K
__ __ __ __ __
M T W Th F
~N

Per rule (1), the only remaining contestants that could go on M are H or I. Let's consider these two options:

Option 1 - H is on M

H V K I N
__ __ __ __ __
M T W Th F
~N

Per rule (2) if H is on M, then N is on F, and the only day left for I is Th.

Now let's look at Option 2 - I is on M

I V K H/N H/N
__ __ __ __ __
M T W Th F
~N

Since there are no rules that restrict the placement of H & N when I is on M, it means we could have H on Th and N on F or alternatively, N on Th and H on F - and that is exactly the scenario described in answer choice (C).

Does this make sense?
Let me know if you have any other questions.