A man is facing towards the west. He then turns 45° clockwise, again turns 180° clockwise and then turns 270° anti-clockwise. In which direction is he facing now?

South-West

The correct answer is Option (2) → South-West

Step 1: Initial direction

The man is facing West.

Step 2: First turn

45° clockwise from West → North-West

Step 3: Second turn

180° clockwise from North-West →

• North-West → North → North-East → East → South-East → South → South-West → West → North-West → (we only need 180°)

Alternatively, 180° from North-West → South-East

Step 4: Third turn

270° anti-clockwise from South-East →

• Anti-clockwise is opposite of clockwise. 270° anti-clockwise = 90° clockwise (since 360 − 270 = 90)
• So, from South-East, 90° clockwise → South-West