Analytical Reasoning Question No. 56
In a city there are exactly seven places: K, L, M, N, O, P, and Q. All existing and projected roads on the city are two-way and run perfectly straight between one place and the next. All distances by road are distances from the main square of one place to the main square of another place. L is the same distance by road from K, M, and N as P is from O and Q. The following are all of the currently existing roads and connections by road on the island:
1. Road 1 goes from K to M via L.
2. Road 2 goes from L directly to N.
3. The Triangle Road goes from O to P, from P on to Q, and from Q back to O.
Any main square reached by two roads is an interchange between them, and there are no other interchanges between roads.
1. Which of the following is a place from which exactly two other places can be reached by road?
(A) K (B) L (C) M (D) N (E) O
2. It is possible that the distance by road from O to P is unequal to the distance by road from
(A) K to L (B) L to M (C) L to N (D) O to Q (E) P to Q
3. Which of the following is a pair of places connected by two routes by road that have no stretch of road in common?
(A) K and L (B) L and M (C) M and N (D) N and O (E) O and P
4. If a projected road from K to P were built, then the shortest distance by road from N to O would be the same as the shortest distance by road from Q to
(A) K (B) L (C) M (D) O (E) P
5. If two projected roads were built, one from K directly to P and one from M directly to Q, then each of the following would be a complete list of the places lying along one of the routes that a traveler going by road from L to O could select EXCEPT
(A) K, P (B) K, Q (C) M, Q (D) K, P, Q (E) M, Q, P
