Each trick says when to use it, why it works and when it fails. Formula tricks are checked by code over their whole range.हर ट्रिक बताती है कि उसे कब इस्तेमाल करें, वह क्यों काम करती है और कब नहीं। सूत्र वाली ट्रिक्स को कोड से उनकी पूरी रेंज पर जाँचा गया है।
Mental mathsमानसिक गणित✓ Checked on 460 cases✓ 460 मामलों पर जाँची गई
Doomsday anchors: dates that always share a weekday
Use it when:कब इस्तेमाल करें: Find the weekday of any date in a year once you know one date.
In every year, 4/4, 6/6, 8/8, 10/10, 12/12, 9/5, 5/9, 11/7, 7/11 and the last day of February fall on the same weekday.
Learn that weekday for the current year (2026: Saturday), then count from the nearest anchor.
Exampleउदाहरण
What day is 15 August 2026?
→ 8/8 is a Saturday, +7 = 15/8 is also a Saturday.
Why it works, and when it failsयह क्यों काम करती है, और कब नहीं
Why:क्यों: The day counts between these dates are all multiples of 7, which John Conway noticed and turned into his Doomsday rule.
Limits:सीमाएँ: Within one year. To move between years, add 1 weekday per ordinary year and 2 per leap year.
Solved examplesहल किए गए उदाहरण
Answers and full solutions are shown. Hide them to test yourself first.उत्तर और पूरे हल दिखाए गए हैं। पहले खुद को परखने के लिए इन्हें छिपाइए।
Example 1उदाहरण 1 · Calendar: find the day of the week · Easyआसान
25 December 2026 is a Friday. What day of the week was 4 December 2026?
Saturday
Friday
Monday
Thursday
Answer:उत्तर:Friday
Days between the dates = 21.
21 = 3 × 7 + 0, so 0 odd days.
Friday − 0 = Friday.
Example 2उदाहरण 2 · Calendar: find the day of the week · Mediumमध्यम
8 March 2024 is a Friday. What day of the week is 14 April 2024?
Sunday
Wednesday
Monday
Saturday
Answer:उत्तर:Sunday
Days between the dates = 37.
37 = 5 × 7 + 2, so 2 odd days.
Friday + 2 = Sunday.
Example 3उदाहरण 3 · Calendar: find the day of the week · Hardकठिन
26 January 2025 is a Sunday. What day of the week is 28 February 2027?
Monday
Wednesday
Sunday
Saturday
Answer:उत्तर:Sunday
Days between the dates = 763.
763 = 109 × 7 + 0, so 0 odd days.
Sunday + 0 = Sunday.
Example 4उदाहरण 4 · Calendar: find the day of the week · Mediumमध्यम
1 May 2024 is a Wednesday. What day of the week was 25 November 2023?
Friday
Saturday
Sunday
Tuesday
Answer:उत्तर:Saturday
Days between the dates = 158.
158 = 22 × 7 + 4, so 4 odd days.
Wednesday − 4 = Saturday.
Example 5उदाहरण 5 · Calendar: find the day of the week · Mediumमध्यम
8 March 2024 is a Friday. What day of the week is 20 April 2024?
Thursday
Saturday
Friday
Sunday
Answer:उत्तर:Saturday
Days between the dates = 43.
43 = 6 × 7 + 1, so 1 odd day.
Friday + 1 = Saturday.
Example 6उदाहरण 6 · Calendar: find the day of the week · Mediumमध्यम
14 April 2026 is a Tuesday. What day of the week was 23 October 2025?
Thursday
Friday
Sunday
Wednesday
Answer:उत्तर:Thursday
Days between the dates = 173.
173 = 24 × 7 + 5, so 5 odd days.
Tuesday − 5 = Thursday.
Common mistakesआम गलतियाँ
Treating 1900 as a leap year.
Counting the starting day itself.
Frequently asked questionsअक्सर पूछे जाने वाले प्रश्न
What are odd days?
The days left over after complete weeks: the remainder when the number of days is divided by 7.
Is 2100 a leap year?
No. It is a century year not divisible by 400.
How do I find the day for a date next year?
Move forward 1 day (or 2 if February 29 falls in between).