Analytical Reasoning Question No. 34
An Electrical Engineer is experimenting with varying arrangements of exactly six units that are electrical bulbs—T, U, V, W, X, and Y—in a loop containing eight positions, each capable of containing one bulb. In each arrangement, each bulb is at one of the eight positions and two positions are empty. In devising arrangements, the Electrical Engineer must obey the following restrictions:
1. T must be directly adjacent to U.
2. X must be directly adjacent to Y.
3. W must be directly adjacent to Y on one side and to an empty position on the other.
4. A signal can be transferred from one bulb directly to another when the two bulbs are directly adjacent to each other, and only then. A signal can be transferred either way around the loop, from one bulb to another, until it reaches an empty position. A signal cannot be transferred across an empty position.
1. If a signal can be transferred, either directly or indirectly, from U to V, it must be true that a signal can be transferred, either directly or indirectly, from
(A) T to V (B) T to W (C) U to W (D) U to X (E) U to Y
2. If V is directly adjacent to X, any of the following could be true EXCEPT:
(A) T is directly adjacent to V.
(B) U is directly adjacent to V.
(C) U is directly adjacent to X.
(D) T is directly adjacent to an empty position.
(E) U is directly adjacent to an empty position.
3. If X is directly adjacent to an empty position, which of the following is the greatest number of bulbs, including starting and ending bulbs, that can be used in the transfer of a single signal?
(A) Two (B) Three (C) Four (D) Five (E) Six
4. If there is one bulb that is directly adjacent to both of the empty positions, that bulb must be
(A) U (B) V (C) W (D) X (E) Y
5. If a signal can be transferred from T to Y, any of the following bulbs could be directly adjacent to an empty position EXCEPT
(A) T (B) U (C) V (D) W (E) X
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