The door of Madan’s house faces the East. From the back side of his house, he walks straight 50 metres, then turns to the right and walks 50 metres again. Finally he turns leftwards and stops after 25 metres. In which direction is Madan from starting point?

Question

A, B, C, D, E, and F are the six police stations in an area, which are connected by streets as shown below. Four teams - Team 1, Team 2, Team 3 and
Team 4 patrol these streets continuously between 09:00 hrs. and 12:00 hrs. each day.

The teams need 30 minutes to cross a street connecting one police station to another. All four teams start from Station A at 09:00 hrs. and must return to Station A by 12:00 hrs. They can also pass via Station A at any point on their journeys.
The following facts are known.
1. None of the streets has more than one team traveling along it in any direction at any point in time.
2. Teams 2 and 3 are the only ones in stations E and D respectively at 10:00 hrs.
3. Teams 1 and 3 are the only ones in station E at 10:30 hrs.
4. Teams 1 and 4 are the only ones in stations B and E respectively at 11:30 hrs.
5. Team 1 and Team 4 are the only teams that patrol the street connecting stations A and E.
6. Team 4 never passes through Stations B, D or F.

Answer 1

The door faces East, placing the back (West) as the starting point (0,0). 1. Move West 50 m: Position (-50, 0). 2. Turn North, walk 50 m: Position (-50, 50). 3. Turn West, walk 25 m: Position (-75, 50). Final position: (-75, 50). The x-coordinate is negative (West), y-coordinate is positive (North). Madan is North-West of the starting point, matching option (2).

The door of Madan’s house faces the East. From the back side of his house, he walks straight 50 metres, then turns to the right and walks 50 metres again. Finally he turns leftwards and stops after 25 metres. In which direction is Madan from starting point?

Show Hint

The Correct Option is B

Solution and Explanation

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