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How many Sundays will be there in a period of 100 years?Question 33Answera.5217b.5219c.5217 or 5218d.5218 or 5219

Question

How many Sundays will be there in a period of 100 years?

Question 33
Answer

  • a. 5217
  • b. 5219
  • c. 5217 or 5218
  • d. 5218 or 5219
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Solution

To answer this question, we need to consider both non-leap and leap years.

  1. Non-leap year: A non-leap year has 365 days. When you divide 365 by 7 (since there are 7 days in a week), you get 52 weeks and 1 day. So, there are 52 Sundays in a non-leap year.

  2. Leap year: A leap year has 366 days. When you divide 366 by 7, you get 52 weeks and 2 days. So, there could be 52 or 53 Sundays in a leap year, depending on whether the extra day is a Sunday.

In a period of 100 years, there are 76 non-leap years and 24 leap years (since a leap year occurs every 4 years). However, century years are only leap years if they are divisible by 400. So, in a period of 100 years, there could be 24 or 25 leap years, depending on whether the century year is a leap year.

So, the total number of Sundays in 100 years could be:

  • 76 non-leap years * 52 Sundays/non-leap year + 24 leap years * 52 Sundays/leap year = 5200 Sundays
  • 76 non-leap years * 52 Sundays/non-leap year + 24 leap years * 53 Sundays/leap year = 5224 Sundays
  • 76 non-leap years * 52 Sundays/non-leap year + 25 leap years * 52 Sundays/leap year = 5204 Sundays
  • 76 non-leap years * 52 Sundays/non-leap year + 25 leap years * 53 Sundays/leap year = 5228 Sundays

So, the number of Sundays in a period of 100 years could be 5200, 5204, 5224, or 5228, depending on whether the century year is a leap year and whether the extra day in each leap year is a Sunday. However, none of these options match the choices given in the question. It seems there might be a mistake in the question or the answer choices.

This problem has been solved

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