The given reference date is 19 June 2024, which is a Saturday. We need to find the day on 25 December 2024.
Number of days from 19 June 2024 to 25 December 2024:
June: 30 − 19 = 11 days
July: 31 days
August: 31 days
September: 30 days
October: 31 days
November: 30 days
December: 25 days (up to the target date)
Total number of days = 11 + 31 + 31 + 30 + 31 + 30 + 25 = 189 days
Now, calculate the number of odd days by dividing the total days by 7:
189 ÷ 7 = 27 weeks and 0 remainder.
The number of odd days is 0.
The day on 25 December 2024 = Saturday + 0 odd days = Saturday.
Hence, 25 December 2024 will be a Saturday.
Alternate Method
We can calculate odd days for each month separately to find the total odd days:
June (remaining 11 days): 11 ÷ 7 ⇒ 4 odd days
July (31 days): 31 ÷ 7 ⇒ 3 odd days
August (31 days): 31 ÷ 7 ⇒ 3 odd days
September (30 days): 30 ÷ 7 ⇒ 2 odd days
October (31 days): 31 ÷ 7 ⇒ 3 odd days
November (30 days): 30 ÷ 7 ⇒ 2 odd days
December (25 days): 25 ÷ 7 ⇒ 4 odd days
Total odd days = 4 + 3 + 3 + 2 + 3 + 2 + 4 = 21 odd days
Final odd days = 21 ÷ 7 ⇒ 0 remainder.
Day = Saturday + 0 = Saturday.
Hence, the correct answer is Saturday.