Finding the DAY for any given DATE

1) Let the given date is 14-7-2021.

2) The formula is [ K + { (M-2) x 2.6 – 0.2 } + C/4 + D/4 +D-2C] divided by 7

3) Where K is the date M is the month C is the century D is the last two digit of the year

4) [ 14 + { (7-2) x 2.6 – 0.2} + 20/4 + 21/4 + 21 – 40 }] divided by 7

if M – 2 is zero or -1 ( Feb or Jan) , less one from the year ( D ) and add 12 months to month M.

Drop all the residuals/fractions in all cases and take the whole number only

5) [ 14 + 12.8 + 5 + 5 + 21 – 40] divided by 7

6) {14 + 12 + 5 + 5 + 21 – 40) divided by 7

7) 17 / 7 = 2 and 3/7

If the reminder comes ZERO, it is SUNDAY. 1/7 means MONDAY, 2/7 means Tuesday, 3/7 means WEDNESDAY, 4/7 means THURSDAY, 5/7 means FRIDAY AND 6/7 means SATURDAY.

Hence 14-7-2021 is Wednesday .

9) Try for other dates also.

By T.R.Jothilingam,Retd.Railway Station Supt., Madurai

9442810486