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 13-18
A flat wilderness area has four widely separated shelters - F, G, W, and X - that are connected by exactly four straight trails - Q, R, S, and T - that are equal to each other in length and connect the shelters in the following ways:
Q connects F and W only.
R connects G and W only.
S connects F and G only.
T connects G and X only.
The shelters are at the ends of the trails.
13/ Which of the following is the order in which a hiker, starting at F, using only trails and using no trail more than once, must reach the other shelters?
(A) G, W, X
(B) W, G, X
(C) W, X, G
(D) X, G, W
(E) X, W, G
14/ If a hiker is at X and wants to reach F by a sequence of trails no longer than necessary, there are how many trail sequences of minimal length from which to choose?
(A) One
(B) Two
(C) Three
(D) Four
(E) Five
15/ If a hiker restricts herself to the trails, any of the following is a possible sequence in which full lengths of trails are hiked EXCEPT
(A) Q, S, R, T, S
(B) R, Q, S, R, Q
(C) S, T, T, R, Q
(D) T, R, R, T, T
(E) T, S, Q, R, T
16/ If a hiker walks the full length of each trail exactly once, which of the following lists all those shelters and only those shelters at which the hiker must be exactly twice?
(A) G
(B) F and G
(C) G and W
(D) G and X
(E) G, W, and X
17/ If, by taking shortcuts that stray from the trails, a hiker could travel from W to X over a shorter distance than the shortest distance between W and X by trail alone, which of the following must be true?
(A) The shortest distance by trail alone from F to X is less than the shortest distance by trail alone from W to X.
(B) The shortest sequence of trails between F and X is the shortest distance between F and X.
(C) The route composed of R and T is not a straight line.
(D) The route composed of S and T is not a straight line.
(E) R meets T at a right angle.
18/ If the straight-line distance between F and X is the same as the straight-line distance between W and X, which of the following can result if new straight trails are added between F and X and between W and X?
(A) The shortest distance by trail between any shelter and any other shelter is the same.
(B) The number of trails required for the shortest possible hike by trail between any shelter and any other shelter is one.
(C) The shortest distance by trail between F and X is less than the shortest distance between W and X.
(D) A hiker must travel fewer trails to travel the shortest distance between F and X than to travel the shortest distance between F and G.
(E) A hiker must travel fewer trails to travel the shortest distance between W and G than to travel the shortest distance between W and F.
Detailed Explanation (in Bangla)
Answer Keys
Question | 13 | 14 | 15 | 16 | 17 | 18 |
|---|---|---|---|---|---|---|
Answer | B | A | A | A | C | B |