Calendar Reasoning - Advanced Level: odd days ADVANCED

Master calendar reasoning concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into odd days while learning month patterns, weekday determination, calendar cycles. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

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Worksheet 26 of 30 (86% complete)

Question 1

In the following calendar grid for May 2021, how many Wednesdays are there? Mon Tue Wed Thu Fri Sat Sun | | | | | 1 | 2 3 | 4 | 5 | 6 | 7 | 8 | 9 10 | 11 | 12 | 13 | 14 | 15 | 16 17 | 18 | 19 | 20 | 21 | 22 | 23 24 | 25 | 26 | 27 | 28 | 29 | 30
In May 2021, Wednesdays fall on: 5, 12, 19, 26. Total: 4.

Question 2

If 17-04-2019 is a Wednesday, what day is 17-04-2021?
731 days later: day shifts by 3 days. Wednesday + 3 days = Saturday.

Question 3

If today is Saturday and yesterday was Friday, what day is tomorrow?
Using day relationships: If today is Saturday and yesterday was Friday, = tomorrow? Sunday

Question 4

In 2019, on which date does Easter Sunday fall?
Easter Sunday in 2019 falls on April 21.

Question 5

If the day after tomorrow is not Friday, which day CANNOT be today?
If today were Wednesday, then day after tomorrow would be Friday, which contradicts the condition.

Question 6

In the calendar for May 2023, if the 1st falls on a Monday, on which weekday will the 15th fall?
15th is 14 days later: (0+14)%7=0, so Monday.

Question 7

In England, when switching from the Julian to the Gregorian calendar in 1752, September 2 (Julian) was followed directly by which date in the Gregorian calendar?
England switched to the Gregorian calendar after 2 September 1752, skipping 11 days to align with the solar year. Therefore, 3 September became 14 September.

Question 8

If the day after tomorrow is not Saturday, which day CANNOT be today?
If today were Thursday, then day after tomorrow would be Saturday, which contradicts the condition.

Question 9

If 15-06-2024 is a Saturday, what day is 15-07-2024?
30 days later: day shifts by 2 days. Saturday + 2 days = Monday.

Question 10

If 18-09-2022 is a Sunday, what day is 02-10-2022?
14 days later: day shifts by 0 days. Sunday + 0 days = Sunday.

Question 11

In England, when switching from the Julian to the Gregorian calendar in 1752, September 2 (Julian) was followed directly by which date in the Gregorian calendar?
England switched to the Gregorian calendar after 2 September 1752, skipping 11 days to align with the solar year. Therefore, 3 September became 14 September.

Question 12

In the following calendar grid for March 2024, how many Sundays are there? Mon Tue Wed Thu Fri Sat Sun | | | | 1 | 2 | 3 4 | 5 | 6 | 7 | 8 | 9 | 10 11 | 12 | 13 | 14 | 15 | 16 | 17 18 | 19 | 20 | 21 | 22 | 23 | 24 25 | 26 | 27 | 28 | 29 | 30 | 31
In March 2024, Sundays fall on: 3, 10, 17, 24, 31. Total: 5.

Question 13

If tomorrow is not Tuesday, which day CANNOT be today?
If today were Monday, then tomorrow would be Tuesday, which contradicts the condition.

Question 14

If 28-11-2014 is a Friday, what day is 28-11-2016?
731 days later: day shifts by 3 days. Friday + 3 days = Monday.

Question 15

In the calendar for May 2025, if the 1st falls on a Thursday, on which weekday will the 15th fall?
15th is 14 days later: (3+14)%7=3, so Thursday.

Question 16

In the following calendar grid for December 2025, how many Sundays are there? Mon Tue Wed Thu Fri Sat Sun 1 | 2 | 3 | 4 | 5 | 6 | 7 8 | 9 | 10 | 11 | 12 | 13 | 14 15 | 16 | 17 | 18 | 19 | 20 | 21 22 | 23 | 24 | 25 | 26 | 27 | 28 29 | 30 | 31 | | | |
In December 2025, Sundays fall on: 7, 14, 21, 28. Total: 4.

Question 17

Which financial quarter and semester does 20-01-2049 fall in? (Note: Indian fiscal year starts April 1, where April-May-June = Q1/Semester 1, July-Aug-Sep = Q2/Semester 1, Oct-Nov-Dec = Q3/Semester 2, Jan-Feb-Mar = Q4/Semester 2)
For 20-01-2049: Fiscal Year 2048-2049, Quarter 4, Semester 2.

Question 18

If 1 January 2018 was a Monday, what day was 1 April 2018?
Calculated via Zeller's congruence: 1/4/2018 falls on Sunday.

Question 19

After how many years will the calendar for 1858 repeat exactly?
The calendar for 1858 repeats after 11 years because the day pattern and leap year cycle align.

Question 20

After how many years will the calendar for 1848 repeat exactly?
The calendar for 1848 repeats after 28 years because the day pattern and leap year cycle align.
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