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Karan drives 7 km towards west. Then, he turns right and drives 3 km. After that, he turns right and drives 11 km. Now turning left, he drives 4 km, then turns left again and drives 4 km. Finally turning left, he again drives 4 km. In which direction and how far is he from his starting position?

  • A.East and 4 km
  • B.South and 3 km
  • C.West and 4 km
  • D.North and 3 km

Answer: D

Karan ends 3 km north of his starting point. Take the start as (0, 0). West 7 km gives (-7, 0). A right turn from west faces north, so 3 km gives (-7, 3). Another right turn faces east, so 11 km gives (4, 3). A left turn faces north, so 4 km gives (4, 7). Two more left turns face west and then south: 4 km west gives (0, 7) and 4 km south gives (0, 3).

The final point is directly above the start, so the answer is North and 3 km. East and 4 km, South and 3 km and West and 4 km come from mixing up a left and a right turn.

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