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Apt Clocks Calendars — Free Aptitude Tutorial

Learn Apt Clocks Calendars in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.

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TL;DR: Learn Apt Clocks Calendars in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.

Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated Jul 14, 2026

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Apt Clocks Calendars in Aptitude

Clock Problems: Minute hand moves 360° in 60 minutes = 6°/min. Hour hand moves 360° in 12 hours = 0.5°/min.

Angle between hands at h hours m minutes: |30h - 11m/2|. If > 180°, take 360° - result.

Hands coincide every 65.45 minutes (not 60). In 12 hours, hands overlap 11 times.

Calendar: Odd days concept — January has 31 days = 3 odd days (31 mod 7 = 3). Days of week repeat every 7 days.

Leap year: Divisible by 4. Century year: must be divisible by 400. 2000 is leap; 1900 is not.

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