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.
In a telecommunications-cable assembly plant, cables are assembled by twisting plastic-coated wires together. There are wires of exactly six different solid colors - red, yellow, violet, green, white, and black. Wires must be assembled into cables according to the following rules:
Each cable must contain at least three wires and wires of at least three different colors.
At most two wires in a single cable can be black.
At most two wires in a single cable can be white.
There can be at most one wire of each of the other colors in a single cable.
If one wire is red, then one wire must be yellow.
If one wire is violet, then no wire can be green.
17) Which of the following could be the complete set of wires in an acceptable cable?
(A) A green wire, a white wire, and a violet wire
(B) A violet wire, a black wire, and a white wire
(C) A red wire, a black wire, and a green wire
(D) A yellow wire and exactly two black wires
(E) Exactly two black wires and exactly two white wires
18) The maximum number of wires that can be used in an acceptable cable is
(A) 8
(B) 7
(C) 6
(D) 5
(E) 4
19) If exactly one black wire and exactly one white wire are used in an assembled cable, which of the following must be true?
(A) The cable contains no more than five wires.
(B) The cable contains exactly six wires.
(C) The cable contains a yellow wire.
(D) The cable does not contain a red wire.
(E) The cable does not contain a violet wire.
20) If a white wire and a violet wire must be among the wires chosen for a particular cable, any of the following pairs of wires could complete the cable EXCEPT a
(A) black wire and a second white wire
(B) yellow wire and a second white wire
(C) yellow wire and a black wire
(D) red wire and a yellow wire
(E) red wire and a black wire
21) If an assembled cable consists of exactly five wires, each a different color, it could be true that a color NOT used is
(A) black
(B) white
(C) green
(D) red
(E) yellow
22) If there is an additional requirement that violet must be used if yellow is used, which of the following must be true?
(A) No cable contains fewer than six wires.
(B) No cable contains more than five wires.
(C) Green is never used if red is used.
(D) Red is always used if violet is used.
(E) Black is used exactly once if yellow is used.
Detailed Explanation (in Bangla)
Answer Keys
17 | 18 | 19 |
B | B | A |
20 | 21 | 22 |
E | C | C |