Rahul travels 10 km towards East, then he takes left turn and travels 3 km. He then takes right turn and travels 5 km, he again takes right turn and travels 8 km and finally takes right turn one more time and travels 3 km. How far is he from his starting point and in which direction ?

Let Rahul start from point A and travels 10 km towards East to reach point B, then he takes left turn and travels 3 km towards north point C. He then takes right turn and travels 5 km and reaches D, he again takes right turn and travels 8 km south to reach point E and finally takes right turn one more time and travels 3 km to stop at point F.

Thus, distance $$(AF)^2=(AG)^2+(FG)^2$$

=> $$(AF)^2=(12)^2+(5)^2$$

=> $$(AF)^2=144+25=169$$

=> $$AF=\sqrt{169}=13$$

$$\therefore$$ Rahul is 13 km towards South-East from his starting position.

=> Ans - (D)