Question
Download Solution PDFIf 11 October 1965 is Monday, then what will be the day of the week on 15 July 1973?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven : 11 October 1965 was Monday
Explanation :
The number of odd days from 11 October 1965 to 15 July 1973 :
| Year | Period | Calculation | Odd days |
| 1965 | 11 October 1965 - 31 December 1965 | 20 October + 30 November + 31 December = 81 days | 81 ÷ 7 = 4 |
| 1966 - 1972 | Full years (5 Ordinary years + 2 Leap years) | (1 odd day × 5 Ordinary years) + (2 odd days × 2 Leap years) = 9 odd days | 9 ÷ 7 = 2 |
| 1973 | 1st January 1973 - 15 July 1973 | 31 January + 28 February + 31 March + 30 April + 31 May + 30 June + 15 July = 196 days | 196 ÷ 7 = 0 |
| Total odd days | 6 | ||
∴ The number of odd days from 11 October 1965 to 15 July 1973 ⇒ 6
⇒So, One odd day get added to Saturday because day asked in future.
∴ Sunday was the day of the week on the 15 July 1973.
Hence, "Sunday" is the correct answer.
Additional Information
- 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 |
| Ordinary year | 1 |
| Leap year | 2 |
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