Analytical Reasoning Question No. 18
A room is one of several in which all the furniture is to be repainted. The room contains exactly four pieces of furniture—a Table, two beds, and a Chair—and no furniture are to be moved into or out of that room. The repainting specifications are as follows:
- On completion of repainting, any piece of furniture in a room must be uniformly blue, gray, purple, or white.
- On completion of repainting, at least one of the pieces of furniture in a room must be gray, and the Chair must be either blue or white.
- If, prior to repainting, a piece of furniture is either orange or yellow, that piece must be white on completion of repainting.
- If, prior to repainting, a piece of furniture is purple, that piece must remain purple on completion of repainting.
All of the specification above can and must be met in each room scheduled for repainting.
1. Which of the following could be the furniture colors in the room on completion of repainting? Table Bed Bed Chair
(A) Yellow Blue White Purple (B) White Gray Gray Blue
(C) Gray White Orange Blue (D) Blue Purple White Purple
(E) Purple White Blue Gray
2. If, prior to repainting, one bed in the room is orange and the other bed is purple, which of the following must be true of the furniture in the room on completion of repainting?
(A) The Table is gray (B) Exactly one of the beds is blue
(C) Exactly one of the beds is orange. (D) Both of the beds are white.
(E) The Chair is purple.
3. If. Prior to repainting, the Chair in the room is gray and the other three pieces of furniture are white, then of these four pieces of furniture there must be how many that are painted a color that differs from its color prior to repainting?
(A) Four (B) Three (C) Two (D) One (E) None
4. Prior to repainting, and given the repainting specifications, the Chair in the room could have been any of the following colors EXCEPT
(A) Blue (B) Gray (C) Purple (D) White (E) Yellow
5. If, prior to repainting, the Table is white, one bed is orange, one bed is purple, and the Chair is gray, which of the following must be true of the furniture in the room on completion of repainting?
(A) At least one piece of furniture is blue.
(B) Only one piece of furniture is gray.
(C) Only one piece of furniture is purple.
(D) Exactly two pieces of furniture are white
(E) Exactly two pieces of furniture are changed in color as a result of repainting.
6. Which of the following could be true of the furniture in the room prior to repainting if, also prior to repainting, three of the pieces of furniture in the room are purple?
(A) The Chair is blue. (B) The Chair is gray
(C) One piece of furniture is white (D) One piece of furniture is yellow
(E) The fourth piece of furniture also is purple.
