CA Foundation · Quantitative Aptitude · Direction Tests
Aman walks 6 km north, then 8 km east, then 6 km south, then 3 km west. Divya starts from the same point and walks directly along the straight line to Aman's final position. How far does Divya walk?
Divya walks 5 km. Aman's north and south legs cancel, and his east 8 km and west 3 km legs leave a net 5 km eastward displacement, which is the straight-line distance from the start to his final position.
- A5 kmCorrect
- B7 km
- C8 km
- D14 km
Explanation
Take the start as (0,0). North 6 gives (0,6). East 8 gives (8,6). South 6 gives (8,0). West 3 gives (5,0). Aman's final position is 5 km east of the start, so Divya walks 5 km in a straight line. The 14 km option wrongly adds the vertical and horizontal legs instead of using net displacement.
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