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Question

N sits to the North of L and West of M. L sits to the East of O. If everyone is facing North, which direction of O, is N?

The correct answer is
North-East

Direction Puzzle Analysis

This question involves determining the relative direction between two individuals, N and O, based on given positional clues. We need to establish the arrangement of N, L, M, and O and then find the direction of N when viewed from O, assuming everyone faces North.

Key Information Extraction:

  • N is North of L.
  • N is West of M.
  • L is East of O.
  • Everyone faces North.

Objective:

Find the direction of O relative to N (i.e., from O's perspective, where is N?).

Step-by-Step Solution

  1. Establish N and L: "N sits to the North of L." This means L is directly South of N.

    Visualization:

    N
    |
    L
                
  2. Establish N and M: "N sits ... West of M." This means M is directly East of N.

    Adding M:

    N -- M
    |
    L
                
  3. Establish L and O: "L sits to the East of O." This means O is directly West of L.

    Adding O:

    N -- M
    |
    O -- L
                
  4. Determine N's direction from O: Observe the final arrangement. Starting from O, N is located both to the North and to the East. Therefore, N is in the North-East direction relative to O.

    Final Arrangement Check:

    • N is North of L (Correct).
    • N is West of M (Correct).
    • L is East of O (Correct).
    • Everyone faces North (This confirms standard directional interpretation, not affecting relative positions).

    From O's position, N is located upwards (North) and to the right (East).

Conclusion

Based on the spatial arrangement derived from the clues, N is situated in the North-East direction from O.

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Important Questions from Direction and Distance (Notes)

  1. A woman leaves her home. She walks 40 m in North-West direction and then 90 m in South-East direction. Then, she moves 30 m in North direction. How far is she now from her initial position ?
  2. I starts from Point A and drives 5 km towards the north. He then takes a right turn, drives 2 km, turns right and drives 9 km. He then takes a right turn and drives 7 km. He takes a final right turn, drives 4 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are $90^\circ$ turns only unless specified.)

  3. A tourist drives $20 \text{ km}$ towards east, turns right and drives $6 \text{ km}$, then drives $6 \text{ km}$ towards west. He then turns to his left and drives $4 \text{ km}$ and finally turns right and drives $14 \text{ km}$. Where is he from his starting point?

  4. A Couple started to their offices in the morning from their home. While husband drives 3 km South and then 2 km to his right to reach his office, wife goes 2 km towards East for her office. With respect to husband's office, how far and in which direction is the wife's office ?
  5. Point A is $30$ m to the North of point B. Point A is $10$ m to the west of point C. Point C is $20$m to the North of point D. Point E is $20$ m to the East of point D. Point F is $20$ m to the South of point E. What is the shortest distance from the point B to point E.

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