If 26th January, 2020 was a Sunday, then what day of the week was it on 16th March of that year?
- Sunday
- Tuesday
- Monday
- Wednesday
The Correct Option is C
Approach Solution - 1
To determine the day of the week on 16th March 2020, given that 26th January 2020 was a Sunday, we need to calculate the number of days between these two dates and find the day of the week accordingly. Here is a step-by-step solution:
- Identify the number of days in each month from January to March.
- January: 31 days
- February: 29 days (2020 is a leap year)
- March: 16 days
- Calculate the number of days from 26th January to 16th March.
Days remaining in January after 26th: 31 - 26 = 5 days - Add the days in February and the days in March:
5 (January) + 29 (February) + 16 (March) = 50 days - Determine the day of the week on 16th March by counting 50 days from Sunday:
50 mod 7 = 1 - Since 50 mod 7 = 1, it means 16th March 2020 is 1 day after Sunday:
Therefore, 16th March 2020 is a Monday.
Approach Solution -2
If 26th January 2020 was a Sunday, then 16th March 2020 was a Monday.
Additional Context:
- Calculation method:
- January 26 to March 16 = 50 days (including 16th March)
- Breakdown:
- Jan 26-31: 5 days (27th-31st)
- February: 29 days (2020 was a leap year)
- March 1-16: 16 days
- 50 days = 7 weeks + 1 day (50 ÷ 7 = 7 remainder 1)
- Day determination:
- Starting from Sunday (26th Jan)
- Adding 1 day (remainder) = Monday
- Calendar verification:
- 2020 was a leap year (February had 29 days)
- March 16, 2020 was indeed a Monday (verifiable through historical calendars)
- Alternative approach:
- Zeller's Congruence or Doomsday algorithm would confirm the result
- Key reference dates:
- January 26: Sunday (given)
- February 29: Saturday (4 weeks + 1 day after Jan 26)
Correct Answer: (2) Monday.
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