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Problem 10 - Entrance Test

Point P is 10 km East of point Q. Point R is 8 km North of point P. Point S is 10 km West of point R. Point T is 5 km South of point S. In which direction is point T with respect to point Q?

Correct: A

Let Point Q be the origin (0,0). 1. Point P is 10 km East of Q: P = (10, 0). 2. Point R is 8 km North of P: R = (10, 0+8) = (10, 8). 3. Point S is 10 km West of R: S = (10-10, 8) = (0, 8). 4. Point T is 5 km South of S: T = (0, 8-5) = (0, 3). The final position of T is (0, 3) relative to Q (0,0). Since the x-coordinate is 0 and the y-coordinate is positive (3), point T is directly North of point Q. Therefore, point T is in the North direction with respect to point Q.