Eight cars are parked in different directions with respect to each other. At which direction is car F parked with respect to car C?

Consider the following statements:

I. Car A is parked to the north of car B, which is to the south of car C. Car E is parked to the east of car C.

II. Car D is parked to the south-west of car A, which is to the north-west of car G. Car F is to the north-east of car E.

III. Car G is parked to the north of car E and to the west of car F. Car C is parked to the south of car A.

Based on the above, choose the correct option regarding the sufficiency of the statements to determine the direction of car F from car C.

Question

Eight cars are parked in different directions with respect to each other. At which direction is car F parked with respect to car C?

Consider the following statements:

I. Car A is parked to the north of car B, which is to the south of car C. Car E is parked to the east of car C.

II. Car D is parked to the south-west of car A, which is to the north-west of car G. Car F is to the north-east of car E.

III. Car G is parked to the north of car E and to the west of car F. Car C is parked to the south of car A.

Based on the above, choose the correct option regarding the sufficiency of the statements to determine the direction of car F from car C.

Accepted Answer

**Solution:**

1. From Statement I:
   - Car A is north of car B.
   - Car B is south of car C.
   - Therefore, car A is north of car B, and car B is south of car C, which implies car C is north of car B and south of car A.
   - Car E is east of car C.

2. From Statement III:
   - Car G is north of car E and west of car F.
   - Car C is south of car A.

3. Combining Statements I and III:
   - Since car E is east of car C and car G is north of car E, car G is northeast relative to car C.
   - Car F is east of car G (since G is west of F), so car F lies to the east or northeast of car C.

4. Statement II provides information about car D and relative positions involving car A and G, but it is not necessary to determine the direction of car F from car C.

**Conclusion:** Statements I and III together provide enough information to find the direction of car F from car C, making statement II unnecessary.

**Answer:** (e) Statements I and III together are sufficient to answer the question, while statement II is not required.

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