# If Vega performs in an earlier week than the Katz exhibition, which one of the following must be true?

Samir on October 15, 2019

Game 4 Question 5

I got this question correct because I ultimately guessed correctly between D and E, can someone explain what makes D a better answer than E.

Irina on October 15, 2019

@Samir-Ghani,

The question asks us if V performs in an earlier week than K exhibition, which of the following must be true?

Since we have T-V-W chain, we know that V cannot perform in weeks 1 and 5. Since we also have J-K-L chain, we know that K similarly cannot perform in weeks 1 and 5, so the latest K could perform is week 4. Since V must perform in an earlier week than K, V cannot perform in week 4 and must perform in either week 2 or 3.

Since this is a must be true question, four of the answer choices COULD be true or CANNOT be true, and only one MUST BE TRUE under every scenario.

Let's look at the answer choices:

(A) J is in an earlier week than T performance.

This could be true but it also could be false if T performs at J's reception, so we can eliminate this answer choice.

(B) K exhibit is earlier than Y performance.

There are no rules that dictate the order of Y performance aside from the fact that he cannot be paired with N, hence it could be true but it is not a must be true scenario.

(C) L exhibit is earlier than W performance.

This could be true but again could be false. Consider the following scenario that complies with all the rules:

N J K O L
T V W Z Y

Thus, we can eliminate (C).

(D) N exhibition is earlier than Y performance. This must be true because there is no scenario when N exhibition is later than Y performance.

(E) O exhibit is earlier than W performance. This also could be true or we could come up with a scenario when it is false, allowing us to eliminate (E):

J N K L O
T V W Y Z

Let me know if this makes sense and if you have any further questions.