Question

1. Which of the following is an order in which the messenger could make the deliveries, from first to seventh?

A) L, N, S, O, M, T, P
B) M, T, P, S, L, N, O
C) O, S, L, N, M, T, P
D) P, N, M, S, O, T, L
E) P, T, M, S, L, N, O

(P is delivered either first or seventh.
The messenger delivers N at some time after delivering L.
The messenger delivers T at some time after delivering M.
The messenger delivers exactly one package between delivering L and delivering O, whether or not L is delivered before O.
The messenger delivers exactly one package between delivering M and delivering P, whether or not M is delivered before P.)

Answer 1

The correct order of the deliveries is C) O, S, L, N, M, T, P.

Step-by-step explanation:

1. The first condition tells us that P can be delivered either first or seventh. So, P must be either the first or the last delivery.
2. The second condition tells us that N is delivered after L. Since there are no restrictions on the position of N, we can put N anywhere except as the first delivery.
3. The third condition tells us that T is delivered after M. Similar to N, there are no restrictions on the position of T either, so we can place T anywhere except as the first delivery.
4. The fourth condition states that there is exactly one package between L and O. This means that either L is delivered before O or O is delivered before L. Since we know that N is delivered after L, we can conclude that L must be delivered before O.
5. The fifth condition states that there is exactly one package between M and P. This means that either M is delivered before P or P is delivered before M. Since we know that T is delivered after M, we can conclude that M must be delivered before P.

Based on these conditions, we can eliminate options A and D since they violate the condition that L must be delivered before O. We can also eliminate options B, C, and E since they violate the condition that M must be delivered before P. Therefore, the correct order is C) O, S, L, N, M, T, P.