CA Foundation · Quantitative Aptitude · Direction Tests
Meera starts from point P and walks 12 km towards the north. She then turns to her right and walks 5 km. What is the shortest distance between her final position and P, and in which direction is she from P?
The distance is 13 km and she is north-east of P. Walking north then turning right means going east, so she ends 12 km north and 5 km east of P. The straight-line distance is the square root of 144 plus 25, which is 13 km.
- A13 km, north-eastCorrect
- B13 km, north-west
- C17 km, north-east
- D7 km, north-east
Explanation
Going north 12 km then right (east) 5 km puts her 12 km north and 5 km east of P. Shortest distance = sqrt(12^2+5^2) = sqrt(169) = 13 km, and she lies to the north-east of P. The option 17 km simply adds the two legs, which is wrong as distance is the straight line. North-west would result from turning left.
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