Question

The last day of a century cannot be

Answer 1

The last day of a century cannot be Thursday or Tuesday or Saturday.

Answer 2

The last day of a century cannot be Tuesday or Thursday or Saturday.

The step by step solution is provided below:-

100 years contain 5 odd days.

So,last day of 1st century is Friday.

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

So,last day of 2nd century is Wednesday.

300 years contain (5 x 3) = 15 which is equal to 1 odd day.

So,last day of 3rd century is Monday.

400 years contain 0 odd day.

So, last day of 4th century is Sunday.

And so on... If we continue with this cycle we will see the same trend repeating.

Hence,last day of a century cannot be Tuesday or Thursday or Saturday.