A person walks 100 m Westward, then turns left and walks 100 m. He then takes 225° turn clockwise. In which direction is he walking now?

The correct option is North-East.

Let us break down the person's movement step-by-step to determine their final direction of motion:

Step 1: Westward movement
Initially, the person walks 100 m Westward. At this point, the person is facing West.

Step 2: Left turn
From facing West, the person turns left. A left turn from facing West means turning 90° counter-clockwise, which aligns them to face South. He then walks 100 m in this Southward direction.

Step 3: 225° clockwise turn
Now facing South, the person takes a 225° turn clockwise. Let us calculate this rotation relative to the South direction:
- A 180° clockwise turn from South would make the person face directly North.
- The remaining rotation angle is:
$225°-180°=45°$
- Continuing another 45° clockwise from North shifts the direction towards the East.
- Therefore, rotating 45° clockwise from North points directly between North and East, which is the North-East direction.

Thus, the person is now walking in the North-East direction.