Analytical Reasoning Question No. 54
A boy uses a motor cycle to pick up aids of unsold food and garmenting from stores and to deliver them to locations where they can be distributed. He drives only along a certain network of roads.
In the network there are two-way roads connecting each of the following pairs of points: A with B, A with C, A with E, B with F, C with G, E with F, and F with G. There are also one-way roads going from B to D, from C to B, and from D to C. There are no other roads in the network, and the roads do not intersect.
To make a trip, the boy always takes the route with the fewest points A–G (counting repeats).
The boy's house is at point C. Pickups: A (General Store), E (Garmenting), D (Bakery). Deliveries: B (Tutoring), F (Distribution), G (Supermarket).
1. If the boy starts at the General Store and goes to the supermarket, the first intermediate point must be:
(A) B (B) C (C) E (D) F (E) G
2. From house, pickups at A and D (any order), first two intermediate points must be:
(A) A and B (B) A and C (C) B and A (D) B and D (E) D and B
3. From E, pick from A or D (shortest route), then go to G, first two points:
(A) A and B (B) A and C (C) D and B (D) F and B (E) F and D
4. From G → D → F, first two intermediate points can be:
(A) C and A (B) C and D (C) D and B (D) F and B (E) F and E
