I’ll try to answer and explain Question #3 for the closet game. The question is as follows:
3. If the silk dress is on an even-numbered hanger, which one of the following could be on the hanger immediately to its left?
(A) the gauze dress
(B) the linen dress
(C) the polyester dress
(D) the rayon dress
(E) the wool dress
I used frames in my setup for this question. The four possibilities are:
1. R _ S _ _ _
2. R _ W _ _ _
3. _ _ S _ _ R
4. _ _ W _ _ R
Since the question presents the condition that S is on an even-numbered hanger (2,4, or 6), we can eliminate possibilities 1 and 3, because each of them places S in an odd-numbered position (3). That leaves these two possibilities:
2. R _ W _ _ _
4. _ _ W _ _ R
Now let’s start evaluating the answer choices. Since the question is phrased, "...could be..." we know that 4 of the answer choices CANNOT be.
(A) GS _ R _ W _ G S. G has to come before P, so this can’t work. G S W _ _ R and _ _ W G S R. Since SL is a requirement, this cannot be the correct answer. S also can’t be an odd number, which is it in the second situation. Moving on.
(B) LS _ L cannot be before S because of the original constraint SL. Ding. Moving on.
(C) PS _ In R _ W _ _ _, S can’t be 2 nor 4(since R and W are right before it). It can’t be 6 because L has to come after S. _ _ W _ _ R, S cannot be 2 because L has to come right after it. It can’t be 4 because P must come right before it. Ding it and move on.
(D) RS - R _ W _ _ _, S can’t be 2 because there’s no room for P before and L after. Can’t be 4 because W is 3. Can’t be 6 because L has to come after it. _ _ W _ _ R, R is 6, making it impossible. Ding it, move on.
By elimination, we know that (E) is correct, but let’s prove it anyway:
(E) WS - R _ W _ _ _, S could be four, L could be 5, and G and P could occupy 2 and 6 respectively:
R G W S L P
This works, and reaffirms that (E) is the correct answer.