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 6 of 7.

Ramu royal said:   1 decade ago
@meena hw u got 500 years as 5 odd days???

Meena said:   1 decade ago
Hi Friends,
century year ending day
100 - 5 odd days - friday
200 - 3 odd days - wednesday
300 - 1 odd day - monday
400 - 0 odd day - sunday
500 - 5 odd days - friday
600 - 3 odd days - wednesday
700 - 1 odd day - monday
800 - 0 odd day - sunday
So it will repeating and so on...
therefore the year ending day cannot be Tuesday, Thursday, Saturday.So this is the final answer.

Maddy said:   1 decade ago
What is the day on 1st day of 1st century( 1st Jan 0001) ? are assuming 1st Jan 0001 is Sunday?

Priya said:   1 decade ago
Priyavel very good explination

Verkha said:   1 decade ago
Why we have taken friday as a 5 odd days of last day of 100 century, why not other days like sunday, mondey etc.

Kavya said:   1 decade ago
keep it as a key point frnds
1.the 1st day of a century must be monday or tuesday or thursday or saturday
2.the last day of a century cannot be a tuesday or saturday or thursday

Aravindha said:   1 decade ago
we check leap year with divisible by 4.. if it satisfies then we'll say it is leap year..
1996/4= remainder is 0 . there fore 1994 is a leap year.
but this concept doesnt use for centuries.. eg:1200,1600,2000 etc
centuries shuld divisible by 400 but not 4.

Swapnil said:   1 decade ago
We can easily check the following table

Century year Ending Day

1300 Sunday
1400 Saturday
1500 Friday
1600 Thursday
1700 Wednesday
1800 Tuesday
1900 Monday
2000 Sunday

Every day of the week gets covered at the end of each century. Plus, if this century ends on a day 'd', next will end on the day 'd-1' & so on.

So, either the options are wrong or I am missing some vital point.

Priyavel said:   1 decade ago
hai friend



100 yrs=5 odd days(friday)
200 yrs=3 odd days(wednesday)
300 yrs= 1 add days( monday)
400 yrs=0 odd days

Praveen said:   1 decade ago
100 years contains only 24 leap years because 100 is not divisible by 400 do minus 5 is correct.


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