Question

Four houses, A, B, C and D, are located in the same colony. House A is 300 m to the north of House D. House C is 400 m to the east of House B. House A is 300 m to the south of House B. In which direction is House D with reference to House B?

• A. North
• B. West
• C. South
• D. East

Answer 1

Answer:

C. South

House D is to the South of House B.

1. Position of A and B: House A is 300 m to the south of House B.
   $\text{B} \xrightarrow{\text{300 m South}} \text{A}$

2. Position of A and D: House A is 300 m to the north of House D. This means House D is 300 m to the south of House A.
   $\text{A} \xrightarrow{\text{300 m South}} \text{D}$

3. Combining the positions: Starting from B, you go 300 m South to reach A, and then another 300 m South to reach D.

Therefore, House D is directly South (600 m away) from House B. Note that the position of House C is extra information not needed to solve this specific question.