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Ages, clocks & calendars formulas
8 formulas for Ages, clocks & calendars, from the Arithmetic & Quantitative Aptitude section of the Quantix formula library. Tap 🧮 next to a formula to solve it for any variable with step-by-step working.
| Name | Formula | Note |
|---|---|---|
| Clock hand angle | θ = |30H − 5.5M|° | H hours, M minutes |
| Minute hand speed | 6° per minute | |
| Hour hand speed | 0.5° per minute | |
| Hands coincide | every 65 5/11 minutes (11 times in 12 h) | |
| Odd days — ordinary year | 1 odd day | |
| Odd days — leap year | 2 odd days | |
| Odd days in 100 / 200 / 300 / 400 years | 5 / 3 / 1 / 0 | |
| Leap year | divisible by 4; century years divisible by 400 |
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