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?
- A.
East
- B.
West
- C.
North
- 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.
Satish starts at a point facing North and walks 2 km.
He turns right: rotating 90° clockwise from North gives East. He walks 3 km facing East.
He turns right again: rotating 90° clockwise from East gives South. He walks 4 km facing South.
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.