Karan steps out of his house and walks 200 m towards the east. Then, he takes a right turn and walks 50 m. Then, he takes a right turn and walks 70 m. Then, he takes left turn and walks 35 m. Then, he takes a right turn and walks 130 m. Finally, he takes a final right tum and walks 45 m to reach his college. How far and in which direction is the college from Karan's house? (All turns are 90 degree turns only)

​Initial position: At home.

​Walks 200 m east

​Right turn and walks 50 m​

​Right turn  and walks 70 m

Left turn and walks 35 m

Right turn and walks 130 m

Right turn and walks 45 m

From the given information following path diagram can be drawn-

From the above diagram the distance between his home and the colloge = 50+35= 85

85-45 = 40 km 

So, Karan's college is 40 meters south of his house.

Thus, correct option is (b)​​