CA Foundation · Quantitative Aptitude · Direction Tests
Imran walks 24 m north and then turns east and walks some distance. He is now 25 m from his starting point. How far did he walk towards the east?
Imran walked 7 m towards the east. The 24 m north leg and the eastward leg form a right triangle with hypotenuse 25 m, so the eastward leg is the square root of 625 minus 576, which is the square root of 49, that is 7 m.
- A1 m
- B49 m
- C7 mCorrect
- D√1201 m
Explanation
The northward and eastward legs are perpendicular, so 25² = 24² + x². Then x² = 625 − 576 = 49, so x = 7 m. Subtracting directly (25 − 24 = 1) wrongly treats the distances as collinear.
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