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Question

A boy starts from his home northward in order to go to a hotel. He took right turn and took left to reach the hotel. Which direction is the hotel facing?

The correct answer is

South

Understanding the Direction Puzzle: Boy's Path and Hotel Facing

This question asks us to determine the direction the hotel is facing based on the boy's path from his home. We need to follow the boy's steps and see which direction he is facing when he reaches the hotel.

Step-by-Step Analysis of the Boy's Journey

Let's break down the boy's movements one step at a time:

  1. The boy starts from his home and heads northward. So, initially, he is facing North.
  2. He then takes a right turn. If you are facing North and take a right turn, you will be facing East.
  3. After the right turn, he takes a left turn to reach the hotel. If you are facing East and take a left turn, you will be facing North.

So, the boy reaches the hotel facing North.

Determining the Hotel's Facing Direction

The question asks about the direction the hotel is facing. The direction the boy is facing when he reaches the hotel entrance is the direction from which he approaches the hotel. If the boy is facing North as he arrives at the hotel entrance, it means the entrance is on the South side of the hotel. Therefore, the hotel itself must be facing towards the South.

Let's visualize this:

  • Start: Facing North.
  • Turn Right: Facing East.
  • Turn Left: Facing North.

He arrives at the hotel entrance facing North. This means the hotel entrance is towards the North side of the boy. If the entrance is on the hotel's South side, then the hotel is facing South.

Conclusion

Based on the step-by-step analysis of the boy's movements:

  • Starts facing North.
  • Turns Right, faces East.
  • Turns Left, faces North.

He reaches the hotel facing North. This implies the hotel is facing South.

The final direction the boy is facing when he reaches the hotel is North. For him to enter the hotel while facing North, the entrance must be on the South side of the hotel. Hence, the hotel is facing South.

Comparing this with the given options:

  • East
  • West
  • South
  • North

The direction the hotel is facing is South.

Revision Table: Understanding Turns

Starting Direction Turn Resulting Direction
North Right Turn East
North Left Turn West
East Right Turn South
East Left Turn North
South Right Turn West
South Left Turn East
West Right Turn North
West Left Turn South

Additional Information: Spatial Reasoning Tips

Direction-based questions like this one test your spatial reasoning skills. Here are some tips:

  • Always start from the given initial direction.
  • Mentally or physically simulate the turns (right turns are clockwise, left turns are counter-clockwise, assuming you are looking from above).
  • Break down complex paths into a sequence of simple steps.
  • Pay close attention to what the question is asking (e.g., final direction, direction from start, direction of arrival, facing direction of a building).
  • Drawing a simple diagram can be very helpful if you find it difficult to visualize the turns.

In this specific question, understanding the difference between the direction the boy is facing and the direction the hotel is facing at the point of entry is key. If you approach an entrance facing North, the building's entrance must be on its South side, meaning the building faces South.

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Important Questions from Direction and Distance Turns

  1. Shweta starts walking from her office and walks 150 m towards the south, then she turns right and walks 80 m, and then she turns left and walks 60 m. She finally turns left and walks 280 m to reach a bank. What is the shortest distance between her office and the bank?

  2. Starting from her home, a woman walks 10 km towards the west. She turns left and walks 25 km. Again she turns left and walks 10 km. After that, she again turns left and walks 5 km. How far is she from her house now?

    A. 35

    B. 20

    C. 25

    D. 40

  3. A man travels 15 km towards the east, then turns right and travels 20 km. He then turns left and travels 30 km. Finally, he takes a right turn and covers 40 km. The shortest distance between the starting point and the destination is:

  4. A man starts from point ‘O’, travels 20 km towards East to reach point ‘A’, turns right and travels 10 km to reach point 'B', turns right and travels 9 km to reach point 'C', turns right and travels 5 km to reach point 'D', turns left and travels 12 km to reach point 'E' and then turns right and travels 6 km to reach point 'F'.

    In which direction is the man facing now?

  5. Lalit walks 9 km east, turns left and walks another 8 km. He again takes a left and walks another 3 km. How far and in which direction is he now from his starting point?

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