In any year, which two months have the same calendar?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → September – December
Two months of the same year have the same calendar when the months from the first one up to the second one add up to 0 odd days. A month of 31 days has 3 odd days and a month of 30 days 2 odd days; February does not lie between any of these pairs, so the answer holds in leap years too.
September 2, October 3, November 2
Total \(=2+3+2=7\), that is 0 odd days, so December begins on the same day as September
Why the other options are incorrect
Option (2) October – December — Incorrect. October and November give \(3+2=5\) odd days.
Option (3) June – October — Incorrect. June to September give \(2+3+3+2=10\) odd days, which leaves 3.
Option (4) April – November — Incorrect. April to October give \(2+3+2+3+3+2+3=18\) odd days, which leaves 4.