Amit traveled 15 km in a car, then took a left turn and traveled 5 km, then took a left turn and traveled 15 km. If he is now facing east, how far is he now from the starting point?
Explanation:
If two left turns (180° rotation) put him facing East, he must have started facing West. Path: 15km West, 5km South (left turn), 15km East (left turn). His final position is exactly 5km South of his starting point.
A student starts from his house in south direction, then turns to his right, walks 2 km and turns to his left and again turns to his left and walks 2 km. He now takes 450 turns in clockwise direction and reaches his college. In which direction is his college with respect to his house?
Explanation:
Walks South. Right (West) for 2km. Left (South) then Left (East) for 2km. The 2km West and 2km East cancel out, leaving him directly South of his house. The 450° CW turn (which is one full 360° circle + 90°) only changes the direction he is *facing*, not his geographical position. He remains South of his house.
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