Seems to be just a tad bit open ended....just a little.
Yes, it is.
The first question:
In a certain game, two of the girls wear red hats; the other children wear among themselves two blue hats and one yellow hat. If they line up one behind the other, all facing the same direction, and the child fourth in line sees two girls and one boy, each wearing a different colored hat, which of the following must be true?
I. The fourth child is either a boy in a blue hat or a girl in a red hat.
II. Both boys are wearing blue hats.
III. Only one boy is wearing a blue hat.
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I and III only
My guess is that the Grateful Dead was in town when they wrote this game.
Answer is A.
Girl ---> Red
Girl ---> Red
Girl, Boy, Boy ----> Blue, Blue, Yellow
There are two groups. Positions 1 2 and 3. And positions 4 and 5.
Group one has 2 girls and a boy. Because of that, we know there must be one of the red capped girls in that group, and a boy and girl taking either blue or yellow, due to the exclusion of same caps in one two and three.
From there we know that the second red capped girl is in 4 or 5 teamed with a blue capped boy.
I: Yes, this must be true.
II: This doesn't have to be true due to the switching potential of yellow and blue between the second girl and boy in group 1.
III: This doesn't have to be true either. For the same reason.
Answer choice A