To solve the problem, let's break down the relationships and directions step by step.

Understanding the Notations:

• A $ B: A is to the north of B at a distance of either 4m or 9m.
• A & B: A is to the west of B at a distance of either 3m or 12m.
• A % B: A is to the south of B at a distance of either 4m or 9m.
• A # B: A is to the east of B at a distance of either 3m or 12m.
• A $# B: A is to the north-east of B.
• A %# B: A is to the south-east of B.

Given the relationships and the positions:

Relationships:

1. B$A: B is to the north of A (either 4m or 9m).
2. C&B: C is to the west of B (either 3m or 12m).
3. D%C: D is to the south of C (either 4m or 9m).
4. D$&A: D is to the north-west of A.
5. D&H&G: D is to the west of H, and H is to the west of G.
6. B$H: B is to the north of H (either 4m or 9m).
7. A&F: A is to the west of F (either 3m or 12m).
8. CB > AF: Distance CB is greater than the distance AF.

Step-by-Step Solutions:

16. In which direction is C with respect to F?

• A is west of F (A & F), and C is west of B.
• Since B is north of A, C will be to the North-West of F (depending on the distances, but it’s clear from the configuration that it cannot be just west or north).

Answer: d. North-West

17. What is the distance between D and G?

• D is west of H, and H is west of G.

• Since the directions and distances are not explicitly given in the question, the possible minimum distance could be calculated if we take the smallest possible distances for each:

  • Distance between D and H = 3m (smallest west direction).
  • Distance between H and G = 12m (smallest west direction).

  The distance between D and G would be $3m + 12m = 15m$.

Answer: d. 15 m

18. What is the total distance between F and G?

• To calculate the total distance between F and G, you need to consider both the horizontal and vertical distances.

• If F and G have a distance computed via vectors adding (considering both the west/east and north/south components), you would combine these distances.

  However, the relationship provided suggests possible minimum distances, so the answer is None of these if the provided options don’t match the computed values.

Answer: e. None of these

19. In which direction is B with respect to D?

• D is to the south of C, and B is to the north of A.
• A is west of F, and since D is to the north-west of A, B is likely to be in the North-East direction concerning D.

Answer: c. North-East

20. If C & J, then what is the total distance between J and D?

• Given C & J means C is to the west of J, and since AF = CJ, distances should match.
• Depending on the calculation for the distance:
  • If AF = CJ, then J and D should match the relationship as per provided distances.
  • Possible total distance between J and D can be None of these if computed distances don’t align exactly with the provided options.

Answer: e. None of these (If total distances differ from expected)

Further Related Questions:

1. If F # H, what is the direction of F with respect to G?
2. What is the possible range of distance between B and A?
3. If J % G, what is the direction of D concerning J?
4. How does the direction of C from D affect the position of A?
5. Calculate the distance if B % G.

Tip: Always double-check the cardinal directions (north, south, east, west) and use vector addition if distances involve diagonal movements.