Question
Download Solution PDFWhat day was it on 27 June 1980 AD ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven date: 27 June 1980.
| Year | Odd Days |
| 100 | 5 odd days |
| 200 | 3 odd days |
| 300 | 1 odd day |
| 400 | 0 odd days |
Now,
Till 1979 → 1600 + 300 + 79
| Leap Year | 2 Odd days |
| Ordinary Year |
1 Odd day |
In 1600 Years the odd day is 0,
In 300 Years the odd day is 1,
In 79 Years(19 Leap Years and 60 Ordinary years) the odd day is 19 × 2 + 60 × 1 = 38 + 60 = 98 odd days,
⇒ 0 + 1 + 98
⇒ 99 odd days.
And, from 1st Jan 1980 to 27 June 1980:
⇒ 31(Jan) + 29(Feb, 1980 is a leap year) + 31(March) + 30(April) + 31(May) + 27(June) = 179 days.
Total odd days → 99 + 179 = 278 days = 278/7 = 39 weeks and 5 odd days.
→ 5 represents Friday.
So, 27 June 1980 is Friday.
Hence, the correct answer is "Friday".
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