CA Foundation · Quantitative Aptitude · Direction Tests
Meena walks 12 m towards the north, then turns right and walks 9 m. How far is she from her starting point, and in which direction is she from the starting point?
She is 15 m from the start, in the north-east direction. Her net movement is 12 m north and 9 m east, so the straight-line displacement is the square root of 144 plus 81, which is 15 m. The value 21 m is only the total path length.
- A15 m, north-eastCorrect
- B21 m, north-east
- C15 m, south-west
- D3 m, north
Explanation
She ends 12 m north and 9 m east of the start. Displacement = sqrt(12^2 + 9^2) = sqrt(225) = 15 m. Since she is north and east of the start, she is in the north-east direction. Adding 12 + 9 = 21 gives the distance walked, not displacement.
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