A lady is facing South-East, she turns 180° in the clockwise direction. Then…

2024

A lady is facing South-East, she turns 180° in the clockwise direction. Then 360° in the anticlockwise direction and then another 270° in the clockwise direction. Which direction is she facing now?

  1. A.

    South

  2. B.

    South-West

  3. C.

    West

  4. D.

    South-East

Attempted by 247 students.

Show answer & explanation

Correct answer: B

Start: facing South-East.

  1. Turn 180° clockwise: South-East + 180° = North-West.

  2. Turn 360° anticlockwise: a full rotation leaves direction unchanged, so still North-West.

  3. Turn 270° clockwise: North-West + 270° = 315° + 270° = 585° ≡ 225° (mod 360), which corresponds to South-West.

Compass-angle reference: North = 0°/360°, North-East = 45°, East = 90°, South-East = 135°, South = 180°, South-West = 225°, West = 270°, North-West = 315°.

Final direction: South-West.

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