What was the day of the week on 2nd July 1184?
Explanation:
Here we need to break days till 2nd July 1184.
Complete years = 1183
Odd days in first 800 years = 0 Odd days in next 300 years = 1 Odd days in next 83 years (20 leap and 63 non-leap years) = 20 × 2 + 63 × 1 = 103.
∴ Odd days in complete years = 0 + 1 + 103 = 104 odd days.
∴ Odd days in complete years = Remainder (104 ÷ 7) = 6 odd days.
Incomplete year (1184, a leap year)
Jan + Feb + Mar = 0 odd days, Apr + May + Jun = 0 = odd days, Jul = 2
∴ Odd days in incomplete year = 0 + 0 + 2 = 2 odd days.
∴ Total odd days till 2nd July 1184 = 6 + 2 = 8 = 1 odd day.
∴ Day of the week on 2nd July 1184 will be 1 day after Sunday i.e., Monday.
Hence, option (d).
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