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The January page of a year is shown. Which of these pairs of years have exactly the same calendar?

Competition practiceCalendars
  • A2026 and 2037
  • B2027 and 2033
  • C2028 and 2034
  • D2030 and 2040

Step-by-Step Solution

Two years share a calendar if both are ordinary (or both leap) and start on the same day. 2026 starts on Thursday; the odd days 2026–2036 add up to 14 ≡ 0, and 2037 is ordinary, so 2037 repeats 2026. 2027 (Fri) and 2033 (Sat) differ; 2028 is leap but 2034 is not; 2040 is leap but 2030 is not.
Answer: A) 2026 and 2037

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