A person starts walking from a shopping mall towards the east and walks 6 km to point P. He takes a left turn and walks 8 km to point Q. He takes a right turn and walks 3 km to point R. He takes a right turn and walks 12 km to point S. He takes a right turn and walks 5 km to point T. He takes a right turn and walks 2 km to his friend's home. Question: In which direction is his friend's house with respect to the shopping mall?

Northeast
Southwest
Northwest
Southeast

Correct answer: Southeast

Solution

The person ends up 9 km east and 7 km south of the shopping mall after following all the turns and distances. A point that is east and south of the start lies in the southeast direction. Therefore, the friend's house is southeast of the shopping mall.

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