A man walks down the backside of his house straight 25 metres, then turns to the right and walks 50 metres again; then he turns towards left and again walks 25 metres, if his house faces to the East, what is his direction from the starting point?

Correct Option: North-West

Let us trace the movement of the man step-by-step to determine his final position relative to his starting point.

Step 1: Understand the directions and initial orientation

Standard directions are defined as follows: East is right, West is left, North is up, and South is down.
The question states that the house faces East. Therefore, the backside of the house faces the opposite direction, which is West.

Step 2: Trace each movement

1. Initial walk: The man walks straight down the backside of his house for 25 metres.
Since the backside of the house faces West, he walks 25 metres West.

2. First turn (Right): Facing West, turning to the right means he is now facing North.
He walks 50 metres North.

3. Second turn (Left): Facing North, turning towards his left means he is now facing West again.
He walks 25 metres West.

Step 3: Determine the net displacement

Let the starting point be at coordinates (0, 0) on a Cartesian plane, where North-South is the y-axis and East-West is the x-axis:

• Starting position: (0, 0)

• After walking 25 metres West: (-25, 0)

• After walking 50 metres North: (-25, 50)

• After walking 25 metres West again: (-25 - 25, 50) = (-50, 50)

Step 4: Determine the direction relative to the starting point

From the starting point (0, 0), his final position (-50, 50) lies in the direction of West (negative x-axis) and North (positive y-axis).

Therefore, his direction from the starting point is North-West.