CA Foundation · Quantitative Aptitude · Direction Tests
Karan walks 7 km north from his house, turns west and walks 10 km, then turns south and walks 3 km more. Finally he turns east and walks 6 km. How far is he from his house now, and in which direction?
Karan ends at 4 km west and 4 km north of his house, so he is in the north-west direction, about 5.66 km away. The listed distances do not match exactly, so this question is flawed.
- A5 km, north-westCorrect
- B5 km, south-west
- C3 km, north-west
- D7 km, north-west
Explanation
Take house as origin. After 7 km north: (0, 7). After 10 km west: (-10, 7). After 3 km south: (-10, 4). After 6 km east: (-4, 4). Distance = sqrt(16 + 16) which is about 5.66 km, so the listed 5 km is inexact. The direction is north-west.
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