The 5th of April of a year falls on the same day of the week as the 5th of which month of the same year?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → July
The same date of a later month falls on the same day of the week when the days from the first date to the second make up 0 odd days (whole weeks). A month of 31 days has 3 odd days and a month of 30 days 2 odd days; February does not come in between, so the answer is the same in every year.
5 April to 5 May: April has 30 days, 2 odd days
5 May to 5 June: May has 31 days, 3 odd days (total 5)
5 June to 5 July: June has 30 days, 2 odd days (total 7)
7 odd days make one whole week, so 5th July falls on the same day as 5th April
Why the other options are incorrect
Option (2) August — Incorrect. July adds 3 more odd days, so 5th August is 3 days later in the week.
Option (3) October — Incorrect. July, August and September add \(3+3+2=8\) odd days, so 5th October is 1 day later in the week.
Option (4) June — Incorrect. April and May give \(2+3=5\) odd days, so 5th June is 5 days later in the week.