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After turning to the right, Manish walked 3 km, then turned to the right and walked 5 km. After that, he turned to the left and walked 7 km. In the end, he was moving towards the south. In which direction did Manish start his journey?

  • A.North
  • B.East
  • C.South
  • D.West

Answer: B

Suppose Manish started facing some direction d. After the first right turn he faces 90 degrees clockwise from d, after the second right turn he faces 180 degrees from d, and the turn to the left brings him back to 90 degrees clockwise from d. At the end he is moving towards the south, so the direction 90 degrees clockwise from d is south. South is 90 degrees clockwise from east, so d is east. Manish started his journey going east, option (B). Starting north, south or west would leave him facing a different direction in the end.

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