Read the following information carefully and answer the questions based on it:

A # (12) B means A is 21m east of B
A * (03) B means A is 30m north of B
A % (24) B means A is 42m west of B
A @ (52) B means A is 25m south of B

Conditions: X # (93) Y; T * (42) U; R @ (61)Q; T # (03) S; P % (14) Q; W @ (61) X; Z * (01) Y; W % (45) U; S*(80)R

What is the shortest distance and direction of S with respect to X?

The correct option is None of these.

First, let us analyze the coding pattern given for the symbols and numbers in parentheses:

- # (12) means direction East, and distance is the reverse of digits 12, which is 21m.
- * (03) means direction North, and distance is the reverse of digits 03, which is 30m.
- % (24) means direction West, and distance is the reverse of digits 24, which is 42m.
- @ (52) means direction South, and distance is the reverse of digits 52, which is 25m.

Now, let us decode the specific conditions required to determine the relationship between point S and point X:

1. W @ (61) X ⇒ W is 16m South of X.
2. W % (45) U ⇒ W is 54m West of U (which means U is 54m East of W).
3. T * (42) U ⇒ T is 24m North of U.
4. T # (03) S ⇒ T is 30m East of S (which means S is 30m West of T).

Let us map these points on a 2D coordinate Cartesian plane taking X as the origin (0, 0):

- Position of X = (0, 0)
- Position of W = (0, -16)
- Position of U = (54, -16)
- Position of T = (54, 8)
- Position of S = (54 - 30, 8) = (24, 8)

With respect to point X (0,0), point S is located at coordinate (24, 8), which lies in the North-East direction.

To calculate the shortest distance between X and S, we apply the Pythagoras theorem:

$\text{Shortest Distance}=\sqrt{{(24-0)}^2+{(8-0)}^2}$

$\text{Shortest Distance}=\sqrt{576+64}=\sqrt{640}=8\sqrt{10}\text{m}$

Since the exact distance is 8√10m (approximately 25.3m) North-East, none of the options 1 through 4 match the precise calculated values.

Therefore, the correct choice is None of these.