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Shweta Meshram

· started a discussion

· 1 Months ago

Abhinav Sinha

· commented

· 1 Months ago

Dear student,
Please read the solution properly.
Keep learning with us.
Team TR.
sourabh kumar

· started a discussion

· 1 Months ago

please explain how..??

Question:
The last day of a century cannot be either

I.   Tuesday.


II.  Thursday.


III. Saturday.


IV.  Sunday.

Options:
A) I and II.
B) I and IV.
C) I, II and III.
D) III and IV.
Solution:

100 years contain 5 odd days.

∴ Last day of 1st century is Friday.

200 years contain (5*2) = 3 odd days.

∴ Last day of 2nd century is Wednesday.

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

∴ Last day of 3rd century is Monday.

400 years contain 0 odd days.

∴ Last day of 4th century is Sunday.

This cycle is repeated.

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

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