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A man is facing south. He turns 135° in the anticlockwise direction and then 180° in the clockwise direction. Which direction is he facing now ?
Question

A man is facing south. He turns 135° in the anticlockwise direction and then 180° in the clockwise direction. Which direction is he facing now ?

A.

North-East

B.

North-West

C.

South-East

D.

South-West

Correct option is D

Step 1: Initial Position

The man is initially facing South.

Step 2: Turn 135° Anticlockwise

Turning 135° anticlockwise means moving 1.5 right angles (90° + 45°) to the left.

From South:

1. Turning 90° anticlockwise takes him to East.

2. Turning another 45° anticlockwise takes him to Northeast (NE).

Thus, after a 135° anticlockwise turn, he is facing Northeast (NE).

Step 3: Turn 180° Clockwise

Turning 180° clockwise means moving two right angles to the right.

From Northeast (NE):

1. A 180° clockwise turn moves him to the exact opposite direction of Northeast.

2. The opposite of Northeast (NE) is Southwest (SW).

Final Position

After both turns, the man is facing Southwest (SW).

Final Answer

The man is facing Southwest.

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