Question
Download Solution PDFIf June 30, 2225 is a Saturday, June 30, 2231 falls on which day of the week?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: June 30, 2225 is a Saturday.
We need to find the day of the week for June 30, 2231.
The number of years between June 30, 2225 and June 30, 2231 is 2231 - 2225 = 6 years.
Let's identify the leap years in this period:
- 2228 is a leap year (divisible by 4).
So, in the 6-year period from June 30, 2225 to June 30, 2231, there is 1 leap year (2228) and 5 ordinary years.
Number of odd days contributed by each type of year:
- Ordinary year: 1 odd day
- Leap year: 2 odd days
Total odd days = (Number of ordinary years × 1) + (Number of leap years × 2)
Total odd days = (5 × 1) + (1 × 2) = 7 odd days.
To find the day of the week, we take the remainder when the total odd days are divided by 7:
Remainder = 7 / 7 = 0
Since the remainder is 0, June 30, 2231 will be the same day of the week as June 30, 2225.
Given June 30, 2225 is a Saturday.
Therefore, June 30, 2231 will also be a Saturday.
Hence, the correct answer is "Option 2".
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