Question Details

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.

In which direction is M with respect to H?

Options

A

North-east

B

North

C

South-east

D

South

Show Answer

Correct Answer :

Option B

North

Solution :

Correct Option: North

Let's analyze the given directional and distance information step-by-step to determine the positions of all the hockey players on the ground.

Step 1: Determine the relative horizontal (East-West) positions of N, K, H, and J.

1. "N is 14m west of K who is 10m west of H."
- Place N at a starting reference point.
- K is 14m to the East of N.
- H is 10m to the East of K, which means H is 14m + 10m = 24m to the East of N.

2. "J is east of N. The distance between H and N is twice the distance between J and N."
- Total distance between H and N = 24m.
- Distance between J and N = 24m / 2 = 12m.
- Since J is east of N, J is placed 12m East of N (which is 2m West of K, since K is 14m East of N).

Step 2: Determine the positions of L, M, and I.

3. "L is 16m north of J."
- From J (12m East of N), move 16m North to locate L.

4. "M is 12m east of L."
- Position of L is 12m East of N.
- Moving 12m East from L gives the horizontal position of M: 12m + 12m = 24m East of N.
- Notice that H is also 24m East of N. Therefore, M and H lie on the exact same vertical line (North-South axis).

5. "M is 10m north of I."
- Moving 10m South from M gives the location of I (which is 6m North of H/J baseline).

Step 3: Determine the direction of M with respect to H.

- Horizontal position of H = 24m East of N.
- Horizontal position of M = 24m East of N.
- Vertical position of H = 0m (baseline).
- Vertical position of M = 16m North of baseline.
- Since M is directly above H at the exact same East-West coordinate (24m East of N), M is located straight to the North of H.

Hence, the correct answer is North.

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