Cube
Cube · clocks · calendars
What is the odd-day method?
The odd-day method is the arithmetic behind calendar questions: any span of days is reduced modulo seven, so an ordinary year leaves one odd day and a leap year two. A year is leap if divisible by four, except centuries not divisible by 400, so 1900 was not leap and 2000 was. Clock questions use the angle formula 30H minus 5.5M.
Story hook
"15 August 1947 was a Friday. What day was Republic Day, 26 January 1950?"
The calendar candidate panics: "How could anyone know? Look at a calendar? Count 900-odd days?"
The trained candidate calmly does the odd-day math. From 15 Aug 1947 to 15 Aug 1948 → 366 days (1948 is leap; the period includes 29 Feb 1948) → 2 odd days. From 15 Aug 1948 to 15 Aug 1949 → 365 → 1 odd day. From 15 Aug 1949 to 26 Jan 1950 → 164 days = 23 weeks + 3 days → 3 odd days. Total: 2 + 1 + 3 = 6 odd days. Friday + 6 = Thursday. Republic Day 1950 was indeed a Thursday.
This is the CSAT calendar superpower: any date in any year, in 60 seconds, without a calendar. The clock counterpart works the same way — angles between hour and minute hands reduce to arithmetic.
CSAT puts 1-2 calendar/clock questions per paper. They look intimidating but collapse to a tiny formula bank.
Why this matters for UPSC
For CSAT (Paper II, qualifying 33%):
- 1-2 questions per paper on calendar + clock. Steady weight since 2011.
- High difficulty perception, low actual difficulty — candidates often skip these out of fear, leaving free marks.
- A trained candidate solves a calendar question in 60-90 seconds, a clock question in 45-60 seconds.
The block is small but easy to lock in once the rules are internalised. Two correct calendar/clock questions = 4 marks = 6% of the 66-mark qualifying floor.
Inside the full topic
Create a free account to continue reading — the deep dive, exam angles, mind map and revision card are waiting.
- Start here (zero knowledge)
- Flow diagram & mind map
- Deep dive
- Real-world connections
- Memory hooks & mnemonics
- The Prelims angle
- The Mains angle
- The Interview angle
- Common traps & misconceptions
- 5-minute revision card
- Related topics
Continue reading — free
Get the full topic with deep dive, Prelims/Mains/Interview angles, mind maps, revision cards, AI tutor and daily current affairs — in English and Hindi.
Create free account Already a member? Sign in