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CA Foundation · Quantitative Aptitude · Direction Tests

A is 20 m north of B. C is 15 m east of B. D is 20 m south of C. E is the midpoint of the straight line joining A and D. What is the distance of E from B and in which direction is E from B?

E is 7.5 m east of B. With B at the origin, A is at (0, 20) and D is at (15, -20). The midpoint of A and D is (7.5, 0), which lies directly east of B at a distance of 7.5 m.

  1. A7.5 m, eastCorrect
  2. B15 m, east
  3. C10 m, north-east
  4. D7.5 m, south-east

Explanation

Take B as origin: A=(0,20), C=(15,0), D=(15,-20). Midpoint E of A and D = (7.5, 0). So E lies on the east line from B at 7.5 m. Check: E is equally 20 m vertical from both A and D, consistent. Choosing 15 m confuses E with C.

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