On which day of the week did the date 16th June 1993 fall according to the Gregorian calendar?

Difficulty: Medium

Correct Answer: Wednesday

Explanation:


Introduction / Context:
This question directly asks for the day of the week corresponding to a specific calendar date, 16th June 1993. Such problems are very popular in competitive exams, as they check your ability to apply systematic counting methods or known algorithms to determine the weekday for any given date.


Given Data / Assumptions:

  • Date: 16th June 1993.
  • Calendar system: Standard Gregorian calendar.
  • No additional information is provided; we must compute or recall the exact weekday.
  • We assume no calendar reforms in between, so usual rules apply.


Concept / Approach:
There are several standard approaches for finding the day of the week:

  • Using known reference dates and counting days forward or backward.
  • Using odd day calculations: breaking the date into year part, month part, and day part.
  • Using a known formula-based method such as Zeller's congruence or similar algorithms.
All methods essentially convert the date into a number of days offset from a known weekday, then take the result modulo 7 to find the weekday.


Step-by-Step Solution:
Step 1: A standard reference is that 1st January 1900 was a Monday. However, most exam-takers instead recall some easier modern reference, or use pre-memorised results for certain years. Step 2: Using a tested calendar method or a reliable reference, we determine the weekday for 1st June 1993 and then move to 16th June 1993. Step 3: The calendar for June 1993 shows that 1st June 1993 falls on a Tuesday. Step 4: From 1st June (Tuesday) to 16th June there are 15 days. Step 5: Compute 15 mod 7. We have 15 = 2 * 7 + 1, so we move 1 day forward from Tuesday. Step 6: One day after Tuesday is Wednesday. Step 7: Therefore, 16th June 1993 falls on a Wednesday.


Verification / Alternative check:
You can verify this by consulting any reliable perpetual calendar or by using a known algorithm implemented in many programming languages. These tools will also show that 16th June 1993 corresponds to Wednesday. Cross-checking via different methods (odd days, formula, or digital calendar) all converge on Wednesday, confirming the correctness of our result.


Why Other Options Are Wrong:
Monday: This would require the day count to bring us two days backward relative to the correct calculation, which is inconsistent with the month layout of June 1993.
Tuesday: This would imply that 16th June falls exactly three weeks after another Tuesday in the same month, which contradicts the actual arrangement of the June 1993 calendar.
Thursday: This would mean we have moved two days forward from the correct weekday, but our remainder when counting days only pushed the weekday ahead by one day.
Friday: This is three days ahead of Tuesday, requiring a remainder of 3 mod 7, which does not match our actual day-difference calculation.


Common Pitfalls:
A frequent mistake is miscounting the days between 1st June and 16th June, either including the starting date incorrectly or misreading the calendar. Another pitfall is confusing the reference weekday for the month or misapplying the modulo operation. Students may also try to guess based purely on intuition without a systematic method, leading to random errors. Practising several examples using a consistent technique helps avoid such mistakes.


Final Answer:
The date 16th June 1993 fell on a Wednesday.

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