Question

Aman is facing East. He turns 120° clockwise, then 210° anticlockwise. Which direction is he facing now?

• A. North
• B. West
• C. North-East
• D. North-West
• E. South-East

Hint:

Calculate the net angle by subtracting the smaller turn from the larger one. The direction remains with the larger turn's sign (CW or ACW).

Answer 1

The Correct Option is A

To solve the problem of determining the final direction Aman is facing, we must consider his initial direction and the angles of rotation, both clockwise and anticlockwise.

1. Aman starts facing East.
2. He turns 120° clockwise.

Let’s break down the clockwise turn:

• Starting from East, turning 90° clockwise would direct Aman towards South.
• Since he turns an additional 30° beyond South, he is now facing South-East.

3. Next, Aman turns 210° anticlockwise.

Let's analyze the anticlockwise rotation starting from South-East:

• First, turning 180° anticlockwise from South-East will direct him to North-West.
• Continuing 30° more in the anticlockwise direction will land him towards North.

Therefore, after executing the given rotations, Aman is facing North.

This matches the correct answer: North.