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On what dates of April, 2001 did Wednesday fall ?

  • A.1st, 8th, 15th, 22nd, 29th
  • B.2nd, 9th, 16th, 23rd, 30th
  • C.3rd, 10th, 17th, 24th
  • D.4th, 11th, 18th, 25th

Answer: D

Find the day for 1 April 2001, then step in sevens.

Odd days to the end of 2000: a multiple of 400 years leaves 0. For 1 January to 1 April 2001, an ordinary year:

\[ 31 + 28 + 31 + 1 = 91 \equiv 0 \pmod 7 \]

So 1 April 2001 was a Sunday, which puts the first Wednesday on the 4th. Adding weeks gives

\[ 4,\; 11,\; 18,\; 25 \]

April has 30 days, so a fifth Wednesday would need the 32nd and does not exist - which is why this list has four dates where the other options have five.

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