If first March of a year is Sunday, which day will be the first Februa

If first March of a year is Sunday, which day will be the first February of the next year?

Friday
Tuesday
Saturday
Monday
This question was previously asked in
UPSC CAPF – 2021
If the first of March of a year is Sunday, the first of February of the next year will be Tuesday.
– We need to find the number of days from March 1st of year Y to February 1st of year Y+1.
– The period covers the rest of year Y starting from March 1st, plus January and the first day of February in year Y+1.
– Number of days from March 1st (Y) to Feb 1st (Y+1):
– March (Y): 31 days
– April (Y): 30 days
– May (Y): 31 days
– June (Y): 30 days
– July (Y): 31 days
– August (Y): 31 days
– September (Y): 30 days
– October (Y): 31 days
– November (Y): 30 days
– December (Y): 31 days
– January (Y+1): 31 days
– February (Y+1): 1 day (up to the 1st)
– Total number of days = 31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 30 + 31 + 31 + 1 = 338 days.
– The number of “odd days” is the remainder when the total number of days is divided by 7.
– 338 ÷ 7 = 48 with a remainder of 2.
– The number of odd days is 2.
– Since March 1st of the starting year is Sunday, February 1st of the next year will be Sunday + 2 days.
– Sunday + 2 days = Tuesday.
– This calculation does not depend on whether year Y or year Y+1 is a leap year, because the period starts after February 29th in year Y (if it’s a leap year) and ends before February 29th in year Y+1 (if it’s a leap year).
A standard non-leap year has 365 days (52 weeks and 1 odd day). A leap year has 366 days (52 weeks and 2 odd days). The day of the week advances by one day for a non-leap year and by two days for a leap year when crossing a full year. Here we are crossing almost a full year (March 1 to Feb 1 of next year).