Analytical Reasoning Question No. 13
A map representing cities F, G, H, I, J, and K is to be drawn. Neighboring cities cannot be the same color on the map.
The only cities neighboring to each other are as follows:
1. F, G, I and J are each neighboring to H.
2. I is neighboring to J.
3. F and G are each neighboring to K.
1. Which of the following is a pair of cities that must be different in color from each other?
(A) F and I
(B) G and I
(C) G and K
(D) I and K
(E) J and K
2. If I is the same color as K, then it must be true that
(A) F is the same color as J
(B) G is the same color as I
(C) I is the same color as J
(D) G is a different color from any other city
(E) H is a different color from any other city
3. Which of the following is a pair of cities that can be the same color as each other?
(A) F and G
(B) G and H
(C) H and I
(D) H and J
(E) I and J
4. Which of the following cities can be the same color as H?
(A) F
(B) G
(C) I
(D) J
(E) K
5. If the fewest possible colors are used and one of the cities is the only one of a certain color that city could be
(A) H, but not any of the other cities
(B) K, but not any of the other cities
(C) F or G, but not any of the other cities
(D) H or I or J, but not any of the other cities
(E) H or J or K, but not any of the other cities