What is the last day of a century Cannot be?

Since the order is continually kept in successive cycles, we see that the last day of a century cannot be Tuesday, Thursday or Saturday.
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What can be the last day of a century?

100 years contain 5 odd days. ∴ Last day of 1st century is Friday. 200 years contain (5 x 2) = 3 odd days.
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Which days Cannot be the first day of a century?

Last day of 4th century is Sunday. This cycle is repeated. Last day of a century cannot be Tuesday or Thursday or Saturday.
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Which day can be the first day of century?

The last days of a century can be Friday, Wednesday, Monday and Sunday. Naturally the first days of the following centuries will be Saturday, Thursday, Tuesday and Monday respective to the above list of last days. It is clearer than crystals that Monday is the only day which can be the first and last of any century.
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Which day can be the first day of any century?

It follows that no century begins with a Tuesday, Thursday, or Sunday. Letting the centuries begin on January 01 of year 100k+1, the missing days would be Wednesday, Friday, and Sunday.
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Which day Cannot be last day of leap year?

400 Years is a leap year and contains 0 odd days. So last day of 4th century is "Sunday".
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What date was April 2001?

In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.
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Why 100th year is not a leap year?

A year in which is divisible by 4 and for century years it should be divisible by 400 not 100 then it is said to be leap year. For example 100 is not leap year even though it is divisible by 4 but as it is century year it should be divisible by 400. Hence 100,200,300 are not leap years.
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How many of the 7 days in a week Monday to Sunday can never be the last day of a century?

Solution(By Examveda Team) 100 years contain 5 odd days. ∴ Last day of 1st century is Friday.
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Why are there no odd days for 400 years?

The number of odd days in 400 years will be ( 5 x 4 + 1) because 400 is itself a leap year and that is why it has one odd day extra. Thus odd days in 400 will be 0. This is same for every year which is a multiple of 100 and 400.
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What calendar is the same as 2025?

So the year 2031 has the same calendar as 2025.
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What calendar year is the same as 2024?

In 2024, you can re-use calendars from these years:

1996, 1968, and 1940.
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What is the 90th day from today?

90 days from now

Today is June 26, 2022 so that means that 90 days from today would be September 24, 2022.
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How many odd days are in 1000 years?

Hence, the correct answer is 3.
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How many odd days are in 700 years?

No.

Hence, "1 odd day" is the correct answer.
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When the calendar of the year 2028 can be used again in the year?

Given calendar year 2028 is a leap year as it is divisible by 4. ∴ The calendar of the year 2028 can again be used in the year 2056.
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Are there 53 weeks in 2021?

There are 52 weeks in 2021.
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What year will have 53 weeks?

This occurs approximately every five to six years, though this is not always the case. 2006, 2012, 2017 and 2023 are all 53-week years.
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What year is 2021 equivalent?

If you have an old calendar saved from 2010, you could hang it back up on the wall and it will serve you just as well for 2021. According to TimeandDate.com, 2021 is a common year with 365 days and starts on a Friday. So it has has the exact same calendar as the years 2010, 1999 and 1993.
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When can I use the 2021 calendar again?

The kinda-pattern continues into the future, and your 2021 calendar can also be used in 2027, 2038, 2049, 2055, 2066, 2077, 2083, 2094, 2100, 2106, and 2117.
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Is 2022 a leap year?

Why 2022 isn't a leap year. The last leap year was 2020. So 2024 will be our next leap year, a 366-day-long year, with an extra day added to our calendar (February 29). We'll call that extra day a leap day.
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How does 1600 years have 0 odd days?

1600 years = 24 x 16 = 384 leap years (100 years = 24 leap years) (because 100 years have 24 leap years) 1 leap year = 2 odd days (52 weeks + 2 odd days) 384 leap years = 384 x 2 = 768 odd days --(A) 1600 years = 1600 - 384 = 1216 ordinary years 1 ordinary year = 1 odd day (52 weeks + 1 odd day) 1216 ordinary years = ...
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How many odd days are there till 1947?

1947) Odd days in 1600 years =0 Odd days in 300 years = (5*3) =15 =1946 years = (11 jump years+35 customary years) = (11*2 +35*1) odd days= 57 days = (8 weeks +1 day) = 1 odd day ∴ odd days in 1946 years= (0+1+1) =2 Jan + Feb.
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How many leap years do 300 years have?

Detailed Solution

The given year is divided by 4, and the quotient gives the number of leap years. Here, 300 ÷ 4 = 75. But, as 100, 200, 300 is not a leap year → 75 - 3 = 72 leap years. Hence, 72 is the correct answer.
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