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 10-14

In a display of products available from a paper manufacturer, exactly eight folders are to be displayed on eight stands that are lined up in a straight line and numbered consecutively 1 through 8 from left to right. There are three gray folders, two purple folders, two yellow folders, and one orange folder. The folders must be displayed according to the following conditions:

At least one of the purple folders must be next to a yellow folder.

The orange folder cannot be next to a yellow folder.

The three gray folders cannot be placed on three consecutive stands.

Stand 5 must hold a gray folder.

Either stand 1 or stand 8 or both must hold a yellow folder.

10. Which of the following is an acceptable ordering of colors of folders from left to right?

Stand 1

Stand 2

Stand 3

Stand 4

Stand 5

Stand 6

Stand 7

Stand 8

(A)

Gray

Gray

Yellow

Orange

Gray

Purple

Purple

Yellow

(B)

Orange

Gray

Yellow

Gray

Purple

Purple

Gray

Yellow

(C)

Purple

Yellow

Gray

Gray

Gray

Orange

Purple

Yellow

(D)

Yellow

Gray

Purple

Yellow

Gray

Orange

Purple

Gray

(E)

Yellow

Gray

Yellow

Gray

Gray

Purple

Orange

Purple

11. If a gray folder is placed on stand 4, another gray folder could be placed on any of the following stands EXCEPT

(A) 1
(B) 3
(C) 5
(D) 7
(E) 8

12. If purple folders are on stands 1 and 2, which of the following must be true?

(A) A gray folder is on stand 3.
(B) The orange folder is on stand 4.
(C) A gray folder is on stand 4.
(D) A yellow folder is on stand 6.
(E) The orange folder is on stand 8.

13. If stand 2 holds an orange folder, which of the following must be true?

(A) Stand 1 holds a gray folder.
(B) Stand 3 holds a purple folder.
(C) Stand 6 holds a purple folder.
(D) Stand 7 holds a yellow folder.
(E) Stand 8 holds a yellow folder.

14. If stands 1 and 3 hold gray folders, any of the following could be true EXCEPT

(A) Stand 2 holds a yellow folder.
(B) Stand 4 holds an orange folder.
(C) Stand 6 holds a purple folder.
(D) Stand 7 holds a yellow folder.
(E) Stand 7 holds an orange folder.

Detailed Explanation (in Bangla)

Answer Keys

Question

11

12

13

14

Answer

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