Consider the following statements: There are six villages A, B, C, D, E and F. F is 1 km to the west of D. B is 1 km to the east of E. A is 2 km to the north of E. C is 1 km to the east of A. D is 1 km to the south of A. Which three villages are in a line?
- A.A, C, B
- B.A, D, E
- C.C, B, F
- D.E, B, D
▶ Answer & Explanation
Correct answer: B. A, D, E
Let's map the village positions relative to each other. If E is at (0,0), then A is at (0,2) since it's 2km north. D is 1km south of A, placing it at (0,1). F is 1km west of D, so F is at (-1,1). C is 1km east of A, placing it at (1,2). B is 1km east of E, so B is at (1,0). Observing the coordinates, A is at (0,2), D is at (0,1), and E is at (0,0). These three villages share the same x-coordinate, indicating they lie on a straight vertical line.
Source: UPSC csat 2014