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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

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Solution

To answer this question, we need to understand how often the 29th day of a month occurs in a 400-year cycle.

  1. There are 12 months in a year, so in a normal year, the 29th day comes 12 times.

  2. However, every 4th year is a leap year, which has an extra 29th day in February.

  3. But, every 100th year is not a leap year, so we subtract the extra 29th day.

  4. Yet, every 400th year is a leap year again, so we add back the extra 29th day.

Let's calculate:

  1. In 400 years, there are 400*12 = 4800 months. So, the 29th day comes 4800 times.

  2. In 400 years, there are 400/4 = 100 leap years. So, we have an extra 100 29th days.

  3. In 400 years, there are 400/100 = 4 years that are not leap years. So, we subtract 4 29th days.

  4. 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.

This problem has been solved

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