From a point Satish started walking towards north and walked 2 km. He then…

2015

From a point Satish started walking towards north and walked 2 km. He then turned on his right and walked 3 km and again turned to his right and walked 4 km. Finally he turned to his left. In which direction he is now walking?

  1. A.

    East

  2. B.

    West

  3. C.

    North

  4. D.

    South

Show answer & explanation

Correct answer: A

In direction-sense problems, every turn is measured relative to the direction currently faced. On a standard compass, the four cardinal directions in clockwise order are North, East, South, and West. A right turn always rotates the direction of motion 90° clockwise, and a left turn always rotates it 90° counter-clockwise.

  1. Satish starts at a point facing North and walks 2 km.

  2. He turns right: rotating 90° clockwise from North gives East. He walks 3 km facing East.

  3. He turns right again: rotating 90° clockwise from East gives South. He walks 4 km facing South.

  4. He turns left: rotating 90° counter-clockwise from South gives East. He is now walking towards East.

This can be verified using compass bearings, where North = 0°, East = 90°, South = 180°, and West = 270°. Each right turn adds 90° and each left turn subtracts 90°: 0° + 90° (right) = 90° (East); 90° + 90° (right) = 180° (South); 180° − 90° (left) = 90° (East). Both methods agree that Satish is finally walking towards East.

Hence, Satish is now walking towards East.

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