If the $15^{\text{th}}$ of August $2024$ fell on a Thursday, on which day of the week will the $15^{\text{th}}$ of August $2030$ fall?
Options:
(A) Wednesday
(B) Thursday
(C) Friday
(D) Saturday
Answer Key:
B
Step-by-Step Solution & Explanation
**Method 1: Odd Days Counting**
Period: 15 August 2024 to 15 August 2030 $= 6\text{ years}$.
- Leap year count: Only 2028 contributes a leap day (Feb 29) during this interval. The leap day of 2024 already occurred prior to 15 August 2024.
- Number of ordinary years $= 5$
- Number of leap years $= 1$
$\text{Total Odd Days} = (1 \times 2) + (5 \times 1) = 2 + 5 = 7 \equiv 0 \pmod 7$
Since the net number of odd days is $0$, the day remains Thursday. Option **B** is correct.