Aptitude - Calendar - Discussion

Discussion Forum : Calendar - General Questions (Q.No. 9)
9.
The last day of a century cannot be
Monday
Wednesday
Tuesday
Friday
Answer: Option
Explanation:

100 years contain 5 odd days.

Last day of 1st century is Friday.

200 years contain (5 x 2) 3 odd days.

Last day of 2nd century is Wednesday.

300 years contain (5 x 3) = 15 1 odd day.

Last day of 3rd century is Monday.

400 years contain 0 odd day.

Last day of 4th century is Sunday.

This cycle is repeated.

Last day of a century cannot be Tuesday or Thursday or Saturday.

Discussion:
61 comments Page 4 of 7.

RANA said:   10 years ago
First day of any century eg 21 century is 01/01/2001 and not 01/01/2000 and first day of century can start either Monday Tuesday Thursday and Saturday.

Thus last day of century can be Sunday Monday Wednesday and Friday as explained by many which I agree.

But first day of 1stcentury century 01/01/0001 or 1st day of AD1 is a Sunday is that an exception? And the one who need why 100? Is not a leap year here it goes?

Actually a year contains 365.24237 days thus to make up 365.25 first we have one day extra after every forth year to make up the average then to make it. 01 less we do not have multiple of 100 as leap year so average bounces to 365.24 now to make more precise or to make 365.2425 we have then every multiple of 4000 as a leap year.

We can even make it more precise by not having leap year on 4000 otherwise we end up with one day advance by 8000 years but that is not done cause earths revolution speed or say velocity is decreasing it is descending but with a very slow rate which will make greater effect by then.
(1)

Sujit said:   1 decade ago
First comment is 100% true. Take it as solution.

Sharad said:   1 decade ago
It's so simple. 100/7=14 and remainder is 2. So,

0=Sunday.
1=Monday.
2=Tuesday.

So it cannot be Tuesday (2).

CRDY said:   1 decade ago
If 01.01.0001 is a Sunday then the last day of the century i.e. 31.12.0001 would be Thursday (A century has 5 odd days).

01.01.0101 would be Friday and the last day of this century year would be Tuesday.

01.01.0201 would be Wednesday and last day of this century would be Sunday.

01.01.0301 would be Monday and last day of this century i.e. 31.01.0400 would be a Saturday.

Again 01.01.0401 would be a Sunday.

Thus we see that the last day of century years are Tuesday or Thursday or or Saturday or Sunday.

Please correct me if my calculation is wrong.

Aisu said:   1 decade ago
Every 4th year may not be a leap year because the year which is divisible by 100 then that year is know as leap year or leap centenary.

Ram said:   1 decade ago
Please tells me which day you considered as first day of century whether Sunday or Monday?

Aayush said:   1 decade ago
Because every 4th year is a leap year.

Viplav said:   1 decade ago
How we know that 100 years has 24 leap year and 76 ordinary year?

KIRUBAHARAMOORTHY said:   1 decade ago
100 years has 5 odd days. so the 101st year must only start with Friday, right? for example if a non leap year has 1 odd day, then it starts with the next day when you are comparing with the previous year. so I think the last day of the first Century must be 'Thursday' and second century is 'Tuesday' and so on.

Carlo said:   1 decade ago
Why is it the 100 years have 5 odd days ?


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