CA Foundation · Quantitative Aptitude · Direction Tests
Point X is 16 m west of point Y. Point Z is 12 m south of X. W is 16 m east of Z. What is the position of W with respect to Y, and what is the distance XW?
W is 12 m south of Y and XW is 20 m. With Y at the origin, X is at (-16,0), Z at (-16,-12) and W at (0,-12). XW is the hypotenuse of a 16 and 12 right triangle, which is 20 m.
- A12 m south of Y; XW = 20 mCorrect
- B12 m north of Y; XW = 20 m
- C12 m south of Y; XW = 28 m
- D16 m south of Y; XW = 12 m
Explanation
Place Y at origin: X = (-16,0). Z = (-16,-12). W = (0,-12), which is 12 m directly south of Y. XW = sqrt(16^2+12^2) = 20 m. The 28 m option adds the legs instead of using Pythagoras.
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