Two easts and two norths — Direction Sense Aptitude Question
Two easts and two norths: A man walks 1 km east, 1 km north, 1 km east and 1 km north. Answer and worked solution on CodeKairo.
- Topic: Direction Sense
- Section: Logical Reasoning
- Difficulty: Medium
- Time target: 75 seconds
Question
A man walks 1 km east, 1 km north, 1 km east and 1 km north. How far is he from his starting point?
Options
- 2 km
- 2√2 km
- 4 km
- √2 km
Show the answer and the worked solution
Correct answer: B. 2√2 km
Worked solution
- East total = 2 km; north total = 2 km.
- Distance = √(4 + 4) = √8 = 2√2 km (about 2.83 km).
Answer: 2√2 km.
The idea
Sum each axis first, then apply Pythagoras once. Equal totals on both axes always give a multiple of √2.
Shortcut. The answer must beat 2 km and fall short of the 4 km walked; the only option between them is 2√2 km (≈ 2.83).
Common trap. "4 km" — adding the four 1 km legs, which is the distance walked, not the straight-line distance.