CA Foundation · Quantitative Aptitude · Direction Tests
Rahul leaves his home and walks 8 km towards the east. He then turns left and walks 6 km. How far is he now from his home in a straight line?
Rahul is 10 km from home. His eastward and northward walks are perpendicular, so the shortest distance is the hypotenuse of a right triangle with sides 8 and 6, which gives the square root of 100, or 10 km. Adding the sides would give 14 km, which is wrong.
- A14 km
- B10 kmCorrect
- C12 km
- D2 km
Explanation
The two walks are at right angles, so the straight-line distance is the hypotenuse: √(8² + 6²) = √100 = 10 km. The option 14 km adds the two legs, which is the path length and not the shortest distance.
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