On what dates of April, 2001 did Wednesday fall?

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On what dates of April, 2001 did Wednesday fall?

  1. A.

    1st, 8th, 15th, 22nd, 29th

  2. B.

    2nd, 9th, 16th, 23rd, 30th

  3. C.

    3rd, 10th, 17th, 24th

  4. D.

    4th, 11th, 18th, 25th

Attempted by 7 students.

Show answer & explanation

Correct answer: D

Answer: 4th, 11th, 18th, 25th

Explanation:

  • Find the weekday of 1 January 2001: 1 January 2001 was a Monday.

  • Count days from 1 January 2001 to 1 April 2001: January 31 + February 28 + March 31 = 90 days. 90 ≡ 6 (mod 7).

  • Add 6 days to Monday: Monday + 6 days = Sunday. Therefore, 1 April 2001 was a Sunday.

  • The first Wednesday after Sunday 1 April is 4 April. Adding 7-day increments gives Wednesdays on 4, 11, 18 and 25 April 2001.

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