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Logical Reasoning

Clocks and calendars

Angles between clock hands and day-of-week problems.

✍️ Practise

Angle between the hands at H hours M minutes = |30H − 5.5M| degrees (take 360 minus it if more than 180).

The minute hand moves 6° per minute; the hour hand 0.5° per minute.

An ordinary year has 1 odd day, a leap year 2.

📌 Remember for the exam

  • θ = |30H − 5.5M|
  • Hands overlap 22 times in 24 hours