Directions (79-81): Answer the questions based on the information given below.

Seven hockey players H, I, J, K, L, M & N are at different positions with each other in a hockey ground. N is 14m west of K who is 10m west of H. J is east of N. The distance between H and N is twice the distance between J and N. L is 16m north of J. M is 12m east of L. M is 10m north of I.

What is the shortest distance between J and H?

Correct Answer: The correct option is 12m.

Step-by-step Explanation:

Let's determine the positions of the players based on the given directions step-by-step:

1. Positions of N, K, and H:
- K is 10m west of H.
- N is 14m west of K.
- Therefore, the total distance from N to H along the east-west line is:
$\text{Distance(N, H)}=14\text{ m}+10\text{ m}=24\text{ m}$

2. Position of J:
- J is to the east of N.
- We are given that the distance between H and N is twice the distance between J and N:
$\text{Distance(H, N)}=2\times \text{Distance(J, N)}$
- Substituting the value of Distance(H, N):
$24\text{ m}=2\times \text{Distance(J, N)}$
$\text{Distance(J, N)}=\frac{24}{2}=12\text{ m}$
- Since J is east of N, J lies 12m to the east of N.

3. Shortest distance between J and H:
- N, J, K, and H all lie on the same straight east-west horizontal line in order from west to east.
- Since N to H is 24m, and N to J is 12m to the east, the remaining distance from J to H is:
$\text{Distance(J, H)}=\text{Distance(N, H)}-\text{Distance(J, N)}$
$\text{Distance(J, H)}=24\text{ m}-12\text{ m}=12\text{ m}$

Thus, the shortest distance between J and H is 12m.