A doctor is located at X and his hospital is located at Y. There is no straight lane from the doctor's house to the hospital. So, the doctor first goes to A which is 600 m due east of X, then goes to B which is 450 m due south of A, then to C which is 120 m due west of B and finally reaches the hospital at Y which is 90 m due north of C. With respect to the hospital the correct direction of the doctors house is
A.north-east
B.north-west✓ Correct
C.south-east
D.south-west
Explanation
Starting at X, the doctor moves: 600 m east to A, 450 m south to B (so B is 600 E, 450 S of X), 120 m west to C (so C is 480 E, 450 S), 90 m north to Y (so Y is 480 E, 360 S of X). Thus Y is south-east of X, which means X (doctor's house) is north-west of Y (hospital).
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