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Question

The last day of a century cannot be

Options:
A .  Monday
B .  Wednesday
C .  Tuesday
D .  Friday
Answer: Option C

100 years contain 5 odd days.


So, Last day of 1st century is Friday.


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


So, Last day of 2nd century is Wednesday.


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


So, Last day of 3rd century is Monday.


400 years contain 0 odd day.


Therefore,  Last day of 4th century is Sunday.


This cycle is repeated.


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


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