Analytical Reasoning Question No. 61
All mails in a large province are transmitted by means of a mail network that connects eight cities—F, G, H, I, J, K, L, and M. All of the connections are two-way, so that mails can be sent back and forth between any two connected cities. Any given mail enters and leaves a given city at most once. The cities are connected only in the following way:
1. F is connected to G and to I.
2. H is connected to G and to I.
3. J is connected to H and to L.
4. K is connected to H, to L, and to M.
1. The path followed by mails sent from L to M must include which of the following cities?
(A) F (B) G (C) H (D) J (E) K
2. Mails sent from F to J can go along any of the following paths EXCEPT
(A) F to G to H to J
(B) F to I to H to J
(C) F to G to H to I to J
(D) F to G to H to K to L to J
(E) F to I to H to K to L to J
3. Which of the following specifies in its entirety a sequence, from first to last, of cities through which a mail from M to I can pass?
(A) M, F. I (B) M, K, F, I (C) M, K, L, I
(D) M, K, H, G, I (E) M, K, L, J, H.I
4. What is the minimum number of cities, excluding the originating and destination cities, through which a mail from I to K must pass?
(A) One (B) Two (C) Three (D) Four (E) Five
5. Disconnecting which of the following cities from every city to which it is connected would leave exactly one of the other cities unconnected to the rest of the mail network?
(A) F (B) G (C) J (D) K (E) M
1. F is connected to G and to I.
2. H is connected to G and to I.
3. J is connected to H and to L.
4. K is connected to H, to L, and to M.
1. The path followed by mails sent from L to M must include which of the following cities?
(A) F (B) G (C) H (D) J (E) K
2. Mails sent from F to J can go along any of the following paths EXCEPT
(A) F to G to H to J
(B) F to I to H to J
(C) F to G to H to I to J
(D) F to G to H to K to L to J
(E) F to I to H to K to L to J
3. Which of the following specifies in its entirety a sequence, from first to last, of cities through which a mail from M to I can pass?
(A) M, F. I (B) M, K, F, I (C) M, K, L, I
(D) M, K, H, G, I (E) M, K, L, J, H.I
4. What is the minimum number of cities, excluding the originating and destination cities, through which a mail from I to K must pass?
(A) One (B) Two (C) Three (D) Four (E) Five
5. Disconnecting which of the following cities from every city to which it is connected would leave exactly one of the other cities unconnected to the rest of the mail network?
(A) F (B) G (C) J (D) K (E) M
