Difficulty: Medium
Correct Answer: 4th, 11th, 18th, 25th
Explanation:
Introduction / Context:
This question asks you to identify all the dates in a specific month and year (April 2001) on which Wednesday falls. Instead of computing a single weekday for one date, we must determine the pattern of Wednesdays throughout the month. Such questions strengthen your understanding of how weekdays repeat every 7 days within a month.
Given Data / Assumptions:
Concept / Approach:
Once we know the weekday of any one date in April 2001, we can find all other Wednesdays by adding or subtracting multiples of 7. In many exam solutions, the weekday of the 1st of the month or some other reference date is either known or can be computed. From that, we list all dates in that weekday sequence.
Step-by-Step Solution:
Step 1: Using a known calendar or date-calculation method, determine the weekday on 1st April 2001. 1st April 2001 was a Sunday.
Step 2: If 1st April is Sunday, then 2nd April is Monday, 3rd April is Tuesday, and 4th April is Wednesday.
Step 3: Once we know that 4th April is a Wednesday, all subsequent Wednesdays will occur 7 days apart.
Step 4: Add 7 days repeatedly starting from 4th April: 4th + 7 = 11th; 11th + 7 = 18th; 18th + 7 = 25th.
Step 5: The sequence becomes 4th, 11th, 18th, and 25th April as the Wednesdays of April 2001.
Step 6: Check that 4th + 7 = 11, 11 + 7 = 18, and 18 + 7 = 25 all fall within April (which has 30 days).
Verification / Alternative check:
You can confirm these dates by examining any accurate 2001 calendar. It will clearly show that each of 4th, 11th, 18th, and 25th April falls on a Wednesday. No other dates in April 2001 correspond to Wednesday, so the list is complete. This method of adding 7 days can be applied to any weekday sequence in a month once one correct anchor date is known.
Why Other Options Are Wrong:
1st, 8th, 15th, 22nd, 29th: These form a weekly pattern, but they correspond to Sundays in April 2001, not Wednesdays.
2nd, 9th, 16th, 23rd, 30th: This pattern corresponds to Mondays or another weekday sequence depending on the reference, but not to Wednesdays.
3rd, 10th, 17th, 24th: These dates follow a 7-day pattern starting from 3rd April, which is a Tuesday, so they are Tuesdays, not Wednesdays.
5th, 12th, 19th, 26th: These continue a weekly pattern starting from 5th April; they correspond to Thursdays, not Wednesdays.
Common Pitfalls:
A common error is misidentifying the weekday of the 1st of the month or failing to check a reliable reference before constructing the sequence. Another mistake is to assume that any pattern spaced by 7 days must correspond to Wednesdays, without ensuring the starting date is a Wednesday. Always anchor your sequence with a confirmed weekday for a specific date.
Final Answer:
The Wednesdays of April 2001 fell on 4th, 11th, 18th and 25th.
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