Question
Download Solution PDFWhat day of the week will be on 1st January 2033?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven : Year - 2033
Explanation:
Calculating the odd days for 31st December 2032 :
2032 can be written as → (2000 + 32) so,
2000 → 0
And,
32 → Dividing 32 by 4 will give get quotient 8 i.e:
Now, 40 ÷ 7 = Remainder = 5
As 5 is the code for Friday , thus it is Friday on 31st December 2032.
And,
1st January is one day after 31st December 2032, so it will be Saturday.
Hence, "Saturday" is the correct answer.
Additional Information
- Ordinary year (365 days) = 1 odd day
- Leap year (366 days) = 2 odd days
- Number of odd days for the days of week.
| Days | Odd days |
| Sunday | 0 |
| Monday | 1 |
| Tuesday | 2 |
| Wednesday | 3 |
| Thursday | 4 |
| Friday | 5 |
| Saturday | 6 |
- Number of odd days for the days of months.
| Months having number of days | Odd days |
| 28 days | 0 |
| 29 days | 1 |
| 30 days | 2 |
| 31 days | 3 |
- Number of odd days for the years.
| Years | Odd days |
| 100 | 5 |
| 200 | 3 |
| 300 | 1 |
| 400 | 0 |
Note - Any multiple year of 400 like 800, 1200,1600, 2000 etc will have '0' Odd days.
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