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Hardbearings

~120s

A larger rotation

If south-east becomes north and north-east becomes west, what does west become?

Show the answer and the worked solution

Correct answer: C.

South-east

Worked solution

  1. South-east is 135° and north is 0°, so the mapping subtracts 135°.
  2. Check on the second pair: north-east (45°) − 135° = −90°, which is 270° — that is west. ✓
  3. West (270°) − 135° = 135°, which is south-east.

Answer: South-east.

The idea

Assign compass bearings in degrees and treat the mapping as a fixed rotation. Verifying on the second given pair guards against getting the direction of rotation wrong.

Shortcut. NE → W is a 135° anticlockwise turn; three 45° steps anticlockwise from west run SW, S, SE.

Common trap. "North-east" — applying the 135° turn clockwise instead: 270° + 135° = 405° = 45°, north-east.

A larger rotation — Direction Sense Aptitude Question

A larger rotation: If south-east becomes north and north-east becomes west, what does west become? Answer and worked solution on CodeKairo.

Question

If south-east becomes north and north-east becomes west, what does west become?

Options

  1. North-east
  2. North-west
  3. South-east
  4. South-west
Show the answer and the worked solution

Correct answer: C. South-east

Worked solution

  1. South-east is 135° and north is 0°, so the mapping subtracts 135°.
  2. Check on the second pair: north-east (45°) − 135° = −90°, which is 270° — that is west. ✓
  3. West (270°) − 135° = 135°, which is south-east.

Answer: South-east.

The idea

Assign compass bearings in degrees and treat the mapping as a fixed rotation. Verifying on the second given pair guards against getting the direction of rotation wrong.

Shortcut. NE → W is a 135° anticlockwise turn; three 45° steps anticlockwise from west run SW, S, SE.

Common trap. "North-east" — applying the 135° turn clockwise instead: 270° + 135° = 405° = 45°, north-east.

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