Rahul leaves his home and walks 5km towards east, turns in the south-east direction and walks for 10km, then he turns north-east and moves 10km. Again, he moves towards the north for 10km. In which direction is he now from starting point?

Let's map Rahul's path step by step from the origin (0,0):
Walks 5km East: He moves along the positive x-axis to (5,0).

Turns South-East and walks 10km: This moves him down and further right.

Turns North-East and walks 10km: This symmetric movement upwards and to the right cancels out his downward vertical displacement from the previous step, returning him to the same horizontal line (y = 0) but further east.

Moves towards the north for 10km: He travels vertically upwards from his current position on the positive x-axis.

Since his final position is to the right (East) and upwards (North) relative to the starting point (0,0), he is in the North-east direction from his home.