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Answer with Explanation:

100 years contain 5 odd days.

Therefore,Last day of 1st century is Friday.

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

Therefore,Last day of 2nd century is Wednesday.

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

Therefore,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.

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