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Mediumdisplacement

~60s

Three sides of a square

A man walks 8 m east, turns left and walks 8 m, then turns left and walks 8 m. How far is he from the start?

Show the answer and the worked solution

Correct answer: A.

8 m

Worked solution

  1. East 8; left → north 8; left → west 8.
  2. East and west cancel, leaving 8 m north.
  3. He is 8 m from the start.

Answer: 8 m.

The idea

Three equal sides of a square leave you exactly one side-length away from the start, at right angles to where you began.

Shortcut. East 8 and west 8 cancel, so only the 8 m north leg survives as displacement.

Common trap. "8√2 m" — picturing him at the opposite corner of the square; after three sides he is at the corner next to the start.

Three sides of a square — Direction Sense Aptitude Question

Three sides of a square: A man walks 8 m east, turns left and walks 8 m, then turns left and walks 8 m. Answer and worked solution on CodeKairo.

Question

A man walks 8 m east, turns left and walks 8 m, then turns left and walks 8 m. How far is he from the start?

Options

  1. 8 m
  2. 8√2 m
  3. 16 m
  4. 24 m
Show the answer and the worked solution

Correct answer: A. 8 m

Worked solution

  1. East 8; left → north 8; left → west 8.
  2. East and west cancel, leaving 8 m north.
  3. He is 8 m from the start.

Answer: 8 m.

The idea

Three equal sides of a square leave you exactly one side-length away from the start, at right angles to where you began.

Shortcut. East 8 and west 8 cancel, so only the 8 m north leg survives as displacement.

Common trap. "8√2 m" — picturing him at the opposite corner of the square; after three sides he is at the corner next to the start.

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