Question

If 26th January, 2020 was a Sunday, then what day of the week was it on 16th March of that year?

• A. Sunday
• B. Tuesday
• C. Monday
• D. Wednesday

Answer 1

The Correct Option is C

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: 

1. 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
2. Calculate the number of days from 26th January to 16th March.
   Days remaining in January after 26th: 31 - 26 = 5 days
3. Add the days in February and the days in March:
   5 (January) + 29 (February) + 16 (March) = 50 days
4. Determine the day of the week on 16th March by counting 50 days from Sunday:
   50 mod 7 = 1
5. Since 50 mod 7 = 1, it means 16th March 2020 is 1 day after Sunday:
   Therefore, 16th March 2020 is a Monday.

Answer 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.