CA Foundation · Quantitative Aptitude · Direction Tests
Meera starts from point A and walks 9 km west, then 12 km south, reaching point B. In which direction is A with respect to B, and how far apart are they?
A is north-east of B and they are 15 km apart. Meera moved 9 km west and 12 km south, so A lies 9 km east and 12 km north of B. The straight distance is the square root of 225, which is 15 km.
- ANorth-east, 15 kmCorrect
- BSouth-west, 15 km
- CNorth-east, 21 km
- DNorth-west, 15 km
Explanation
B is 9 km west and 12 km south of A. So A is 9 km east and 12 km north of B, which is north-east. Distance = sqrt(81+144) = 15 km. The south-west option reverses the viewpoint, giving B's direction from A rather than A's from B.
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