CA Foundation · Quantitative Aptitude · Direction Tests
Nisha is 7 km west of Om. Pooja is 24 km north of Nisha. In which direction is Om from Pooja, and how far apart are they?
Om is 25 km south-east of Pooja. Pooja is 7 km west and 24 km north of Om, so going from her to Om means moving east and south. The distance is the square root of 49 plus 576, which is 25 km.
- ASouth-east, 25 kmCorrect
- BSouth-west, 25 km
- CSouth-east, 31 km
- DNorth-east, 25 km
Explanation
Take Om as origin: Nisha is at (-7,0), Pooja at (-7,24). From Pooja to Om the displacement is 7 east and 24 south, so Om is south-east of Pooja. Distance = sqrt(49+576)=sqrt(625)=25 km. The 31 km option adds the legs, which is the path length and not the straight distance.
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