Question

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?

• A. North–East
• B. North–West
• C. South–West
• D. South–East

Hint:

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?

Answer 1

The Correct Option is B

The door faces East, so the back side faces West. Starting point is the back side. Let this be (0,0). 1. Walks straight from back side (West) 50 m: Position (-50, 0). 2. Turns right (facing North), walks 50 m: Position (-50, 0+50) = (-50, 50). 3. Turns left (facing West), walks 25 m: Position (-50-25, 50) = (-75, 50). The final position is (-75, 50). The x-coordinate is negative (West) and the y-coordinate is positive (North). Therefore, Madan is in the North-West direction from his starting point. This matches option (2).