Question

There are exactly seven office buildings numbered 1 through 7 on a street. Each building is occupied by exactly one of seven companies: A, B, C, D, E, F, and G. All of the buildings are on the same side of the street, which runs from east to west. Building 1 is the westernmost building. The following restrictions apply:

Company A does not occupy building 1, 3, 5, or 7.
Company C occupies the building immediately to the west of Company D.
Company B occupies one of the three westernmost buildings.
Company F is the third building to the east of Company E.
The easternmost building is not occupied by Company G.

Which one of the following must be true?

a) Company F occupies building 2.

b) Company C occupies building 4.

c) Company D occupies building 6.

d) Company A occupies building 2

Answer 1

Analyzing the given constraints, none of the options a) Company F occupies building 2, b) Company C occupies building 4, c) Company D occupies building 6, or d) Company A occupies building 2 must necessarily be true based on the information provided.

Step-by-step explanation:

Given the constraints for the seven office buildings and their occupants, the following deductions can be made:

• Company A cannot occupy building 1, building 3, building 5, or building 7, so it must occupy either building 2, building 4, or building 6.
• Company C is immediately to the west of Company D, which means they must be in consecutive buildings.
• Company B is in one of the three westernmost buildings, which are building 1, building 2, or building 3.
• Company F is the third one to the east of Company E, which means there are two buildings between them.
• The easternmost building, building 7, is not occupied by Company G, so it could be occupied by either Company D or E since Company A cannot be here.

From these deductions, we can not definitively conclude any of the provided options without more information. Thus, the answer must be that none of the options necessarily must be true.