Directions: Each question or group of questions is based on a passage, graph, table, or set of conditions. In answering some of the questions, it may be useful to draw a rough diagram. For each question, select the best answer choice given.
Questions 8-13
An office is one of several in which all the furniture is to be repainted. The office contains exactly four pieces of furniture - a bookcase, two chairs, and a desk - and no furniture is to be moved into or out of the office. The repainting specifications are as follows:
On completion of repainting, any piece of furniture in an office must be uniformly brown, green, tan, or white.
On completion of repainting, at least one of the pieces of furniture in an office must be green, and the desk must be either brown or tan.
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 tan, that piece must remain tan on completion of repainting.
All of the specifications above can and must be met in each office scheduled for repainting.
8. Which of the following could be the furniture colors in the office on completion of repainting?
Bookcase | Chair | Chair | Desk | |
|---|---|---|---|---|
(A) | Yellow | Brown | White | Tan |
(B) | White | Green | Green | Brown |
(C) | Green | White | Orange | Brown |
(D) | Brown | Tan | White | Tan |
(E) | Tan | White | Brown | Green |
9. If, prior to repainting, one chair in the office is orange and the other chair is tan, which of the following must be true of the furniture in the office on completion of repainting?
(A) The bookcase is green.
(B) Exactly one of the chairs is brown.
(C) Exactly one of the chairs is orange.
(D) Both of the chairs are white.
(E) The desk is tan.
10. If, prior to repainting, the desk in the office is green 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
11. Prior to repainting, and given the repainting specifications, the desk in the office could have been any of the following colors EXCEPT
(A) brown
(B) gray
(C) tan
(D) white
(E) yellow
12. If, prior to repainting, the bookcase is white, one chair is orange, one chair is tan, and the desk is green, which of the following must be true of the furniture in the office on completion of repainting?
(A) At least one piece of furniture is brown.
(B) Only one piece of furniture is green.
(C) Only one piece of furniture is tan.
(D) Exactly two pieces of furniture are white.
(E) Exactly two pieces of furniture are changed in color as a result of repainting.
13. Which of the following could be true of the furniture in the office prior to repainting if, also prior to repainting, three of the pieces of furniture in the office are tan?
(A) The desk is brown.
(B) The desk is green.
(C) One piece of furniture is white.
(D) One piece of furniture is yellow.
(E) The fourth piece of furniture also is tan.
Detailed Explanation (in Bangla)
Answer Keys
Question | 8 | 9 | 10 | 11 | 12 | 13 |
|---|---|---|---|---|---|---|
Answer | B | A | C | E | B | C |