Calendar Questions and Answers – Dates

This set of Aptitude Questions and Answers (MCQs) focuses on “Dates”.

1. On what dates of March, 1999 did Thursday fall?
a) 4th, 11th, 18th, 25th
b) 1st, 8th, 15th, 22nd, 29th
c) 2nd, 9th, 16th, 23rd, 30th
d) 5th, 12th, 19th, 26th
View Answer

Answer: a
Explanation: Number of odd days in 1600 years = 0.
Number of odd days in 300 years = 1 (100 years have 5 odd days so, for 300 years 5 * 3 = 15 ⟹ 2weeks + 1 odd day).
For 98 years = 24 leap years + 74 ordinary years ⟹ 24 * 2 + 74 * 1 = 122 ⟹ 17weeks + 3 odd days.
For the year 1999, we have to consider the period from (1.1.1999 to 1.3.1999).
January has 31 days.
February has 28 days.
March has 1 day.
Number of odd days = 31 + 28 + 1 = 60.
Total number of odd days = 0 + 1 + 4 + 3 = 8 = 1 odd day.
So, March 1st is Monday. March 4th becomes Thursday.
So, Thursday falls on 4th, 11th, 18th and 25th.

2. On what dates of April, 2014 did Monday fall?
a) 4th, 11th, 18th, 25th
b) 6th, 13th, 20th, 27th
c) 3rd, 10th, 17th, 24th
d) 7th, 14th, 21st, 28th
View Answer

Answer: d
Explanation: The correct answer is 7th, 14th, 21st, 28th.
Number of odd days in 2000 years = 0.
Number of odd days in 13 years = 3 leap years + 10 ordinary years = 3 * 2 + 10 * 1 = 16 = 2weeks + 2 odd days.
For the year 2014 we have to consider the period from (1.1.2014 to 1.4.2014).
January has 31 days.
February has 28 days.
March has 31 days.
April has 1 day.
31 + 28 + 31 + 1 = 91 = 13weeks.
Number of odd days in the year 2014 = 0.
Total number of odd days = 0 + 2 + 0 = 2 odd days.
So, April 1 is Tuesday then Monday falls on April 7th.
Monday falls on 7th, 14th, 21st and 28th.

3. On what date does February, 1967 did first Sunday fall?
a) 7th
b) 5th
c) 4th
d) 2nd
View Answer

Answer: b
Explanation: Number of odd days in 1600 years = 0.
Number of odd days in 300 years = 1 (5 odd days per 100 years → so, 5 * 3 = 15 = 2 weeks + 1 odd day).
Number of odd days in 66 years = 16 leap years + 50 ordinary years = 16 * 2 + 50 * 1 = 82 = 11 weeks + 5 odd days.
For the year 1967 we have to consider the period from (1.1.1967 to 1.2.1967).
January has 31 days.
February has 1 day.
Number of odd days = 31 + 1 = 32 = 4 weeks and 4 odd days.
Total number of odd days = 0 + 1 + 5 + 4 = 10 = 1 week + 3 odd days ⟹ Wednesday.
1st February is Wednesday. So, 5th February will be Sunday and it is the first Sunday of February.
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4. On what date does May, 2004 did second Saturday fall?
a) 7th
b) 4th
c) 8th
d) 2nd
View Answer

Answer: c
Explanation: Number of odd days in 2000 years = 0.
Number of odd days in 3 years = 0 leap years + 3 ordinary years = 3 * 1 = 3 odd days.
January has 31 days.
February has 29 days.
March has 31 days.
April has 30 days.
May has 1 day.
Number of odd days from January to April = 31 + 29 + 31 + 30 + 1 = 122.
122 days have 17 weeks + 3 odd days.
Total number of odd days = 0 + 3 + 3 = 6.
So, May 1st is Saturday, and it is the first Saturday. The second Saturday wil be on 8th.

5. The date on third Tuesday of March 2000 is 20th.
a) True
b) False
View Answer

Answer: b
Explanation: The answer is false.
Number of odd days in 1600 years = 0.
Number of odd days in 300 years = 1 (For 100 years there are 5 odd days. So, for 300 years there are 5 * 3 = 15 ⟹ 2 weeks + 1 odd day).
In 99 years there are 24 leap years and 75 ordinary years.
Number of odd days = 24 * 2 + 75 * 1 = 48 + 75 = 123 → 17 weeks + 4 odd days.
For the year 2000 we consider from (1.1.2000 to 1.3.2000).
January has 31 days.
February has 29 days.
March has 1 day.
Total number of odd days = 31 + 29 + 1 = 61 ⟹ 8 weeks + 5 odd days.
Total number of odd days = 0 + 1 + 4 + 5 = 10 = 1week + 3 odd days.
So, 1 March, 2000 is Wednesday.
7th becomes the first Tuesday.
So, 21st becomes the third Tuesday.

6. On what dates of July, 2012 did Thursday fall?
a) 6th, 13th, 20th, 27th
b) 5th, 12th, 19th, 26th
c) 3rd, 10th, 17th, 24th
d) 4th, 11th, 18th, 25th
View Answer

Answer: b
Explanation: Number of odd days in 2000 years = 0.
Number of odd days in 11 years = 2 leap years + 9 ordinary years = 2 * 2 + 9 * 1 = 13 ⟹ 1 week + 6 odd days.
For the year 2012 we have to consider from (1.1.2012 to 1.7.2012).
January has 31 days.
February has 29 days.
March has 31 days.
April has 30 days.
May has 31 days.
June has 30 days.
July has 1 day.
Number of odd days = 31 + 29 + 31 + 30 + 31 + 30 + 1 = 183 = 26 weeks + 1 odd day.
Total number of odd days = 0 + 6 + 1 = 7 = 1 week + 0 odd days.
July 1 2012 is Sunday. So, 4th will be Wednesday.
Wednesday falls on 4th, 11th, 18th, and 25th.

7. On what date of August, 1990 did fourth Monday fall?
a) 25th
b) 26th
c) 27th
d) 28th
View Answer

Answer: c
Explanation: Number of odd days in 1600 years = 0.
Number of odd days in 300 years ⟹ 5 odd days per 100 years → so, 5 * 3 = 15 = 2 weeks + 1 odd day.
Number of odd days in 89 years = 22 leap years + 67 ordinary years = 22 * 2 + 67 * 1 = 111 = 15weeks + 6 odd days.
January has 31 days.
February has 28 days.
March has 31 days.
April has 30 days.
May has 31 days.
June has 30 days.
July has 31 days.
August has 1 day.
Number of odd days = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 1 = 213 = 30 weeks + 3 odd days.
Total number of odd days = 0 + 1 + 6 + 3 = 10 = 1 week + 3 odd days.
August 1 1990 is Wednesday.
So, 6th August will be first Monday and 27th August will be fourth Monday.
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8. On what dates of September, 1902 did Friday fall?
a) 5th, 12th, 19th, 26th
b) 6th, 13th, 20th, 27th
c) 4th, 11th, 18th, 25th
d) 7th, 14th, 21st, 28th
View Answer

Answer: a
Explanation: Number of odd days in 1600 years = 0.
Number of odd days in 300 years = 1 (5 odd days per 100 years. So, 5 * 3 = 15 = 2 weeks + 1 odd day).
Number of odd days in 1 year = 0 leap years + 1 ordinary year = 0 * 2 + 1 * 1 = 1 = 1 odd day.
For the year 1902, we have to consider the period from (1.1.1902 to 1.9.1902).
January has 31 days.
February has 28 days.
March has 31 days.
April has 30 days.
May has 31 days.
June has 30 days.
July has 31 days.
August has 31 days.
September has 1 day.
Number of odd days = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 1 = 244 = 34 weeks + 6 odd days.
Total number of odd days = 0 + 1 + 1 + 6 = 8 = 1 week + 1 odd day = Monday.
September 1st is Monday. So, September 5 will be Friday.

9. On the dates of October, 2019 did Tuesday fall?
a) 2nd, 9th, 16th, 23rd, 30th
b) 3rd, 10th, 17th, 24th, 31st
c) 5th, 12th, 19th, 26th
d) 1st, 8th, 15th, 22nd, 29th
View Answer

Answer: d
Explanation: The correct answer is 1st, 8th, 15th, 22nd, 29th.
Number of odd days in 2000 years = 0.
Number of odd days in 18 years ⟹ 4 leap years + 14 ordinary years = 4 * 2 + 14 * 1 = 22 ⟹ 3 weeks + 1 odd day.
For the year 2019, we have to consider the period from (1.1.2019 to 1.9.2019).
January has 31 days.
February has 28 days.
March has 31 days.
April has 30 days.
May has 31 days.
June has 30 days.
July has 31 days.
August has 31 days.
September has 30 days.
October has 1 day.
Number of odd days = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 1 = 274 = 39 weeks + 1 odd day.
Total number of odd days = 0 + 1 + 1 = 2 odd days.
So, October 1 2019 is Tuesday.
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10. January 1, 2020 is Wednesday.
a) True
b) False
View Answer

Answer: a
Explanation: Number of odd days in 2000 years = 0.
Number of odd days in 19 years = 4 leap years + 15 ordinary years = 4 * 2 + 15 * 1 = 8 + 15 = 23 ⟹ 3 weeks + 2 odd days.
For the year 2020 we have to consider only January 1st .
Number of odd days = 1.
Total number of odd days = 0 + 2 + 1 = 3.
So, the day on 1 January, 2020 is Wednesday and the answer is true.

11. On what dates of July did first Sunday fall in the years 2011 and 2014?
a) 5th and 9th
b) 3rd and 6th
c) 2nd and 6th
d) 1st and 5th
View Answer

Answer: b
Explanation: Number of odd days in 2000 years = 0.
Number of odd days in 10 years = 2 leap years + 8 ordinary years = 2 * 2 + 8 * 1 = 4 + 8 = 12 = 1 week + 5 odd days.
For the year 2011 we have to calculate from the period (1.1.2011 to 1.7.2011).
January has 31 days.
February has 28 days.
March has 31 days.
April has 30 days.
May has 31 days.
June has 30 days.
July has 1 day.
Number of odd days = 31 + 28 + 31 + 30 + 31 + 30 + 1 = 182 = 26 weeks + 0 odd day.
Total number of odd days = 0 + 5 + 0 = 5 odd days.
The day on 1st July, 2011 is Friday. So, 3rd July, 2011 will be the first Sunday.
1st July, 2012 is Sunday, 7th July, 2013 is Sunday and 6th July, 2014 will be the First Sunday.

12. On what dates of April, 1968 and April, 1970 did Second Saturday fall?
a) 13th and 11th
b) 5th and 12th
c) 3rd and 10th
d) 7th and 13th
View Answer

Answer: a
Explanation: Number of odd days in 1600 years = 0.
Number of odd days in 300 years = 5 odd days per 100 years → so, 5 * 3 = 15 = 2 weeks + 1 odd day.
Number of odd days in 67 years = 16 leap years + 51 ordinary years = 16 * 2 + 51 * 1 = 83 = 11 weeks + 6 odd days.
For the year 1968 we have to calculate from the period (1.1.1968 to 1.4.1968).
January has 31 days.
February has 29 days (The year 1968 is a leap year).
March has 31 days.
April has 1 day.
Number of odd days = 31 + 29 + 31 + 1 = 92 ⟹ 13 weeks + 1 odd day.
Total number of odd days = 0 + 1 + 6 + 1 = 1 week + 1 odd day.
So, April 1 is Monday. So, the first Saturday will be on 6th April and second Saturday will be on 13th April, 1968.
12th April is second Saturday in 1969 and 11th April will be the Second Saturday in 1970.

13. On what dates did first Wednesday fall in the months of May and September in 1925?
a) 2nd May and 1st September
b) 1st May and 3rd September
c) 5th May and 2nd September
d) 4th May and 5th September
View Answer

Answer: c
Explanation: Number of odd days in 1600 years = 0.
Number of odd days in 300 years = 5 odd days per 100 years → So, 5 * 3 = 15 = 2 weeks + 1 odd day.
Number of odd days in 24 years = 6 leap years + 18 ordinary years = 6 * 2 + 18 * 1 = 12 + 18 ⟹ 30 = 4 weeks + 2 odd days.
For the year 1925, we have to consider the period from (1.1.1925 to 1.5.1925) and (1.1.1925 to 1.9.1925).
January has 31 days.
February has 28 days.
March has 31 days.
April has 30 days.
May has 1 day.
Number of odd days = 31 + 28 + 31 + 30 + 1 = 121 = 17 weeks + 2 odd days.
Total number of odd days = 0 + 1 + 2 + 2 = 5.
The day on 1st May, 1925 is Friday. So, First Wednesday will fall on 5th May, 1925.
January has 31 days.
February has 28 days.
March has 31 days.
April has 30 days.
May has 31 days.
June has 30 days.
July has 31 days.
August has 31 days.
September has 1 day.
Number of odd days = 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 1 = 244 = 34 weeks + 6 odd days.
Total number of odd days = 0 + 1 + 2 + 6 = 9 = 1 week + 2 odd days.
The day on 1st September, 1925 is Tuesday. So, the first Wednesday will fall on 2nd September, 1925.

14. Which date of the month February is considered as leap year?
a) 31st
b) 28th
c) 30th
d) 29th
View Answer

Answer: d
Explanation: Leap year consists of 366 days. For every 4 years we have a leap year.
Usually, we have 28 days in the month of February, but when it is a leap year we have an extra day that is 29th in February.

15. The date on third Friday of January, 2001 is 19th.
a) True
b) False
View Answer

Answer: a
Explanation: The answer is True.
Number of odd days in 2000 years = 0.
For the year 2001, we have to consider only 1.1.2001.
January has 1 day.
Number of odd days = 1.
Total number of odd days = 0 + 1 = 1.
The day on 1st January, 2001 is Monday.
5th January, 2001 will be the first Friday.
19th January, 2001 will be the third Friday.

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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