[Tuesday] The last day of a century cannot be

For Competitive Exams

The last day of a century cannot be

Monday

Wednesday

Tuesday

Friday

Explanation:

100 years contain 5 odd days.

$\therefore$ Last day of 1^st century is Friday.

200 years contain 5 x 2 $\equiv$ 3 odd days.

$\therefore$ Last day of 2^nd century is Wednesday.

300 years contain 5 x 3 = 15 $\equiv$ 1 odd day.

$\therefore$ Last day of 3^rd century is Monday.

400 years contain 0 odd day.

$\therefore$ Last day of 4^th century is Sunday.

This cycle is repeated.

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

Additional Questions

January 1, 2004 was a Thursday, what day of the week lies on January 1 2005.	Answer
On what dates of April, 2001 did Wednesday fall?	Answer
What was the day of the week on 28th May, 2006?	Answer
What was the day of the week on 17th June, 1998?	Answer
What will be the day of the week 15th August, 2010?	Answer
Alpha, Beta , gamma, delta and epsilon are friends and have birthdays on consecutive days though may not be in order. Gamma is as many days old to Alpha as Beta is younger to Epsilon. Delta is two days older then Epsilon. Gammas Birthday is on Wednesday. Tell whose birthday is when. Alpha, Beta , gamma, delta and epsilon are friends and have birthdays on consecutive days though may not be in order. Gamma is as many days old to Alpha as Beta is younger to Epsilon. Delta is two days older then Epsilon. Gammas Birthday is on Wednesday. Tell whose birthday is when.	Answer
1.12.91 is the first Sunday. Which is the fourth Tuesday of December 91?	Answer
What is the year next to 1990 which will have the same calendar as that of the year 1990?	Answer
What day of the week was 1 January 1901	Answer
The last day of a century cannot be	Answer

Share with Friends