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On what dates of April, 2001 did Friday fall?
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- 5th, 12th, 19th, 26th April
- 4th, 11th, 18th, 25th April
- 3rd, 10th, 17th, 24th April
- None of these
Correct Option: D
Lets find out 1st April from Zeller's Formula:
f = k + [13 x m - 1 / 5] + D + [D/4] + [C/4] - 2 x C.
In this case k = 1 (since 1st April)
Month m = 2 (As march = 1, April = 2)
D is the last two digit of year here D = 01 (As year is 2001)
C is 1st two digit of century here C = 20 (As year is 2001)
f = 1 + [13 x 2 - 1 / 5] + 01 +[01/4] + [20/4] -2 x 20
f = 1 + [25/5] + 01 + [0.5] + [5] - 40.
f = 1 + 5 + 01 + 0 + 5 - 40 = -28
This - ve value of f can be made positive by adding multiple of 7
So f = - 28 + 28 = 0
So number of odd days is 0,
So 1st April 2001 is Sunday,
So 1st Friday is on 6th April , so next Fridays is 13th, 20th, 27th April.