CA Foundation · Quantitative Aptitude · Direction Tests
Town P is 12 km due north of town Q. Town R is 5 km due east of town Q. What is the shortest distance between P and R, and in which direction is R from P?
The distance is 13 km and R is south-east of P. Q forms a right angle with legs 12 km and 5 km, so PR is the square root of 169, which is 13. R is south and east of P.
- A13 km, south-eastCorrect
- B13 km, south-west
- C17 km, south-east
- D7 km, south-east
Explanation
Q is the right-angle vertex, with QP = 12 km and QR = 5 km. PR = sqrt(144+25) = 13 km. R lies to the east and south of P, so it is south-east of P. The option 17 km adds the legs instead of using Pythagoras.
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