Relative positions of houses (cardinal directions): Determine D's direction from A given partial relations. Facts: B's house is east of A's house and north of C's house. C's house lies to the west of D's house. Question: In which direction is D's house from A's house?

Given data

• B is east of A and north of C.
• C is west of D ⇒ D is east of C.

Concept/Approach
We can place A at (0,0). Then B is (east, same y), and C must be south of B. However, D is only known to be east of C; D's north–south relation to A remains unspecified.

Conclusion
Multiple layouts fit the clues with D ending up NE, E, or SE of A. Hence the information is insufficient.

Final Answer
Data is inadequate