CA Foundation · Quantitative Aptitude · Direction Tests
Meera starts from her house and walks 12 m towards the west. She then turns right and walks 5 m. What is the shortest distance between her final position and her house?
The shortest distance is 13 m. Her two legs of 12 m west and 5 m north are at right angles, so the displacement is the hypotenuse, the square root of 144 plus 25, which is 13 m. Subtracting or adding the legs would be incorrect.
- A7 m
- B13 mCorrect
- C17 m
- D11 m
Explanation
Walking west 12 m and then right (north) 5 m gives perpendicular legs. Shortest distance = sqrt(12^2 + 5^2) = sqrt(169) = 13 m. Option 7 m wrongly subtracts the legs, and 17 m wrongly adds them.
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