302 TH day of 1 year is Saturday, then what is the 15 th day of 5 th year?

Correct answer: Thursday

Explanation:

Method: Use odd days (days modulo 7). Add odd days from the remainder of the 1st year, the intervening full years, and the first 15 days of the 5th year to the given weekday (Saturday).

• Remaining days in year 1: 365 − 302 = 63 → 63 mod 7 = 0 odd days.

• 2nd year (full year): ordinary → 1 odd day.

• 3rd year (full year): ordinary → 1 odd day.

• 4th year (full year): leap → 2 odd days.

• First 15 days of the 5th year: 15 mod 7 = 1 odd day.

Total odd days = 0 + 1 + 1 + 2 + 1 = 5 odd days.

Starting weekday: Saturday. Saturday + 5 days = Thursday.

Therefore, the 15th day of the 5th year falls on Thursday.