According to the map shown in the figure, which one of the following…

Answer: The library is located to the northwest of the canteen.

Explanation:

• Identify quadrants using the two roads: the vertical road is the main road and the horizontal road is the cross road. The upper-right area is northeast, upper-left is northwest, lower-left is southwest, and lower-right is southeast.

• The canteen is in the upper-right quadrant (northeast): it lies to the east of the main road and north of the cross road.

• The library is in the upper-left quadrant (northwest): it lies to the west of the main road and north of the cross road.

• Comparing the two positions shows the library is to the west and (also) to the north of the canteen, so the library is northwest of the canteen.

Brief checks of the other statements:

• Hospital vs chemistry lab: The hospital is above (north of) the chemistry lab on the right side of the map, so it is not to the east of the chemistry lab.

• Chemistry lab vs physics lab: The physics lab is in the upper-left quadrant and the chemistry lab is in the lower-right quadrant; they are diagonally opposite across both roads. This diagonal relation means you move east and south to go from the physics lab to the chemistry lab, but the question's clearly unambiguous statement about the library and canteen is the intended single correct choice.

• Classrooms and canteen: The classrooms are in the lower-left quadrant while the canteen is in the upper-right quadrant, so they are not next to each other.