A man runs 20 meters towards east and turns right, runs for 15 meters and…

2023

A man runs 20 meters towards east and turns right, runs for 15 meters and again turns right. Now the man runs for 10 meters and again turns to his left. Now he again runs for 10 meters and turns to his left. From here the man runs for 20 meters and once more turns to his left and runs for 12 meters. Now which direction the man is facing?

Answer: A. NorthCONCEPTFacing direction depends only on the sequence of turns; the distances travelled do not change which way a person faces. A right turn moves one step…

  1. A.

    North

  2. B.

    South

  3. C.

    East

  4. D.

    West

Attempted by 4 students.

Show answer & explanation

Correct answer: A

CONCEPT

Facing direction depends only on the sequence of turns; the distances travelled do not change which way a person faces. A right turn moves one step clockwise in the cycle North → East → South → West, while a left turn moves one step anticlockwise.

APPLICATION

  1. Start facing East.

  2. Right turn: East → South.

  3. Right turn: South → West.

  4. Left turn: West → South.

  5. Left turn: South → East.

  6. Left turn: East → North. The distances between turns affect position, not orientation.

CROSS-CHECK

The turns are R, R, L, L, L. Two right turns and two of the left turns cancel, leaving one net left turn from East, which gives North.

Result: the man is facing North.

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