The correct option is A January, October
Given year is a non-leap year. Count the number of odd days from the month January onwards to get the sum equal to 0 odd day.
Jan have 3 odd days,
Feb have 0 odd days,
Mar have 3 odd days,
Apr have 2 odd days,
May have 3 odd days,
Jun have 2 odd days,
Jul have 3 odd days,
Aug have 3 odd days,
Sep have 2 odd days.
So, total number of odd days = 3 + 0 + 3 + 2 + 3 + 2 + 3 + 3 + 2 = 21 days or 3 weeks and 0 odd day.
Therefore, the month of January and October will have the same calendar.