26th January in the year 2022 was on a Wednesday then, 15th August in the year 2018 was on which of the following day of the week?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Wednesday
The day of the week moves on by the number of odd days (days left over after whole weeks) between two dates. An ordinary year has 1 odd day and a leap year 2. Counting from 15 August 2018 forward to 26 January 2022:
Whole years (15 August to 15 August):
2018 to 2019: 365 days, 1 odd day
2019 to 2020: includes 29 February 2020, 366 days, 2 odd days
2020 to 2021: 365 days, 1 odd day
15 August 2021 to 26 January 2022, month by month:
August (16th to 31st): 16 days, 2 odd days
September: 30 days, 2 odd days
October: 31 days, 3 odd days
November: 30 days, 2 odd days
December: 31 days, 3 odd days
January (1st to 26th): 26 days, 5 odd days
Total odd days \(=1+2+1+2+2+3+2+3+5=21\), which is 3 whole weeks with no day left over. So 15 August 2018 fell on the same day as 26 January 2022, a Wednesday.