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The two leaves show the last days of the centuries ending in 2000 and 2100. On which of these days can the last day of a century NEVER fall?

Competition practiceCalendars
  • AWednesday
  • BFriday
  • CTuesday
  • DMonday

Step-by-Step Solution

A century has 5 odd days (100 years), so its last day moves on 5 places each century, except that every 4th century (divisible by 400) adds 6. Starting from Sunday (31 Dec 2000): 2100 Friday, 2200 Wednesday, 2300 Monday, 2400 Sunday again. The last day of a century is always Sunday, Friday, Wednesday or Monday, never Tuesday, Thursday or Saturday.
Answer: C) Tuesday

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