Raju cycles 6km in east direction and takes a right turn to move another 8km. He again takes a left turn and moves 16km. In which direction is he now from his original position?

Let's trace Raju's movement path starting from an origin point (0,0):
He cycles 6km East ⟹ Point coordinate becomes (6,0).

He takes a right turn (which faces South) and cycles 8km ⟹ Point coordinate becomes (6,−8).

He takes a left turn (which faces East again) and moves 16km ⟹ Point coordinate becomes (6+16,−8)=(22,−8).

Comparing the final point (22,−8) with respect to the origin (0,0):

The X-coordinate is positive (East).

The Y-coordinate is negative (South).

Therefore, he is in the South-east direction from his starting point.