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Time, Clock & Calendar Hard 3 min

How many odd days are there in 100 years if the period contains exactly 24 leap years?

Hint
Calculate total days first.

Answer

5 odd days.

Explanation

There are 76 normal years and 24 leap years. Total days = 76×365 + 24×366 = 36524. Dividing by 7 leaves remainder 5.

Step-by-Step Solution

76×365 = 27740.
24×366 = 8784.
Total = 36524.
36524 mod 7 = 5.
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