How many times does 29th date come in 400 years ?Select an answerA 96 B97C4800 D4497
Question
How many times does 29th date come in 400 years ?
Select an answer
A 96
B 97
C 4800
D 4497
Solution
To answer this question, we need to understand how often the 29th day of a month occurs in a 400-year cycle.
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There are 12 months in a year, so in a normal year, the 29th day comes 12 times.
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However, every 4th year is a leap year, which has an extra 29th day in February.
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But, every 100th year is not a leap year, so we subtract the extra 29th day.
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Yet, every 400th year is a leap year again, so we add back the extra 29th day.
Let's calculate:
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In 400 years, there are 400*12 = 4800 months. So, the 29th day comes 4800 times.
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In 400 years, there are 400/4 = 100 leap years. So, we have an extra 100 29th days.
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In 400 years, there are 400/100 = 4 years that are not leap years. So, we subtract 4 29th days.
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In 400 years, there is 1 year that is a leap year again. So, we add back 1 29th day.
So, the total number of times the 29th day comes in 400 years is 4800 + 100 - 4 + 1 = 4897 times.
So, the answer is D. 4897.
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