Which one of the following is a complete and accurate list of architects, each of whom could be the architect assigne...

Samir on October 16 at 05:55PM

Game 2 Question 4

Can someone explain why E is the correct answer? I do not understand how G could be with Project X. If G is with Project X that means it is not with Project W therefore meaning F is with W, and if F is with W then L must be with Project Z because of the first rule. But then that causes H to be with Project Y which can't be true because H is with Project Y if F is not with Project W, but F is with Project W in this case.

2 Replies

Irina on October 16 at 08:10PM

@Samir-Ghani,

The game requires us to match four architects - F G H L to four projects - W X Y Z, and determine the order of the projects.

The following rules apply:

(1) Either F or L is assigned Z.

Z: F/L

(2) F is assigned W if G is not

This rule is basically saying G works on W or else F.

W: G/F

(3) H is assigned Y if F is not assigned W.


W(G) -> Y(H)
~Y(H) -> W(F)

The question asks us which of the following could be assigned to project X?

Notice that there are no rules restricting how could be assigned to X, that should be the first clue that it will be a longer list. Let's consider a scenario when G is assigned to X.

It then means that F is assigned W as you correctly pointed out,
L is assigned Z, and H is assigned Y.

W: F
X: G
Y: H
Z: L

The fact that H is with project Y is not against the rules because the proper transposition of rule (3) is IF H is not assigned Y, THEN F is assigned W. We cannot infer that H is not assigned Y just because F is assigned W, this would be a logical fallacy of affirming the consequent.

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


on October 22 at 04:17PM

Can you please set up the game board? I did not understand this answer.