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 answerA 96 B97C4800 D4497
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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