Reasoning

Calendar: Practice Questions with Answers

19 practice questions on Calendar, with answers; most also have an explanation or a worked solution. Try each one before you open its answer.

Read the lesson on this topic →

1. Q.1

   Is the year 2100 a leap year?

   Show answer

   Answer: No, 2100 is not a leap year

   Solution:

   1. 2100 is divisible by 4 (2100 ÷ 4 = 525), but it is a century year, so it must also be divisible by 400.
   2. 2100 ÷ 400 = 5.25, not a whole number — so 2100 is NOT a leap year.

   Report this question

2. Q.2

   If 1 January 2024 was a Monday, what day of the week was 1 January 2025?

   Show answer

   Answer: Wednesday

   Solution:

   1. 2024 is a leap year (366 days), so it contributes 2 odd days.
   2. Shift Monday forward by 2 days: Monday → Tuesday → Wednesday.

   Report this question

3. Q.3

   Today is Wednesday. What day will it be after 15 days?

   Show answer

   Answer: Thursday

   Solution:

   1. 15 ÷ 7 leaves a remainder of 1 (15 = 2×7 + 1), so the odd days are 1.
   2. Shift Wednesday forward by 1 day: Wednesday → Thursday.

   Report this question

4. Q.4

   If 1 January 2024 is a Monday, what day of the week is 1 April 2024?

   Show answer

   Answer: Monday (if you'd mistakenly used 28 days for February, you'd get 90 days and wrongly land on Sunday)

   Solution:

   1. 2024 is a leap year, so February has 29 days.
   2. Days from 1 January to 1 April = days in January (31) + February (29) + March (31) = 91.
   3. 91 ÷ 7 = 13 exactly, remainder 0 — so 1 April falls on the SAME day as 1 January.

   Report this question

5. Q.5

   Was the year 1900 a leap year? Was the year 2000?

   Show answer

   Answer: 1900 was not a leap year; 2000 was a leap year

   Solution:

   1. 1900 is divisible by 4, but it’s a century year, so it must also be divisible by 400 to qualify — 1900 ÷ 400 is not a whole number, so 1900 was NOT a leap year.
   2. 2000 is also a century year, and 2000 ÷ 400 = 5 exactly, so 2000 WAS a leap year.

   Report this question

6. Q.6

   If 1 January 2020 was a Wednesday, what day of the week was 1 January 2023?

   Show answer

   Answer: Sunday

   Solution:

   1. Add up the odd-day contribution of each year from 2020 up to (but not including) 2023: 2020 is a leap year (2 odd days), 2021 is normal (1), 2022 is normal (1).
   2. Total odd days = 2 + 1 + 1 = 4.
   3. Shift Wednesday forward by 4 days: Wed → Thu → Fri → Sat → Sun.

   Report this question

7. Q.7

   If 1 March 2023 was a Wednesday, what day of the week was 15 March 2023?

   Show answer

   Answer: Wednesday (same as 1 March, since 14 days is exactly 2 weeks)

   Solution:

   1. The gap is 15 − 1 = 14 days.
   2. 14 ÷ 7 leaves a remainder of 0, so there are no odd days — the day of the week repeats exactly.

   Report this question

8. Q.8

   Today is Saturday. What day was it 23 days ago?

   Show answer

   Answer: Thursday (23 ÷ 7 leaves a remainder of 2, so shift Saturday backward by 2 days)

   Report this question

9. Q.9

   Is the year 2400 a leap year?

   Show answer

   Answer: Yes. 2400 ÷ 4 = 600, and as a century year, 2400 ÷ 400 = 6 exactly.

   Report this question

10. Q.10

    Today is Tuesday. What day will it be after 50 days?

    Show answer

    Answer: Wednesday. 50 ÷ 7 leaves remainder 1.

    Report this question

11. Q.11

    If 1 January 2021 was a Friday, what day of the week was 1 January 2024?

    Show answer

    Answer: Monday. 2021, 2022, 2023 are all non-leap (1 odd day each); total 3; Friday + 3.

    Report this question

12. Q.12

    If 5 June 2024 was a Wednesday, what day of the week was 19 June 2024?

    Show answer

    Answer: Wednesday (the gap is 14 days, exactly 2 weeks, so the day repeats)

    Report this question

13. Q.13

    If 1 January 2024 is a Monday, what day of the week is 1 March 2024?

    Show answer

    Answer: Friday. Days = 31 (Jan) + 29 (Feb, leap year) = 60; 60 mod 7 = 4; Monday + 4.

    Report this question

14. Q.14

    If 1 January 2023 was a Sunday, what day of the week was 1 January 2024?

    Show answer

    Answer: Monday (2023 is not a leap year, so it contributes only 1 odd day)

    Report this question

15. Q.15

    Was the year 1900 a leap year? Was the year 2000?

    1. A 1900 was not a leap year; 2000 was a leap year
    2. B Both were leap years
    3. C Neither was a leap year
    4. D 1900 was a leap year; 2000 was not
    Show answer

    Correct answer: (A) 1900 was not a leap year; 2000 was a leap year

    1900 is a century year not divisible by 400, so it's not a leap year. 2000 is divisible by 400, so it is.

    Report this question

16. Q.16

    A certain month has 30 days. If the 1st of the month is a Saturday, how many Sundays does that month have?

    1. A 5
    2. B 4
    3. C 3
    4. D 6
    Show answer

    Correct answer: (A) 5

    The first 28 days contain exactly 4 of every weekday. The 2 extra days (the 29th and 30th) repeat the weekdays of the 1st and 2nd — Saturday and Sunday. So Sunday occurs a 5th time.

    Report this question

17. Q.17

    If 1 January 1950 was a Sunday, what day of the week was 26 January 1950 — the date India's Constitution came into effect?

    1. A Thursday
    2. B Wednesday
    3. C Friday
    4. D Monday
    Show answer

    Correct answer: (A) Thursday

    From 1 January to 26 January is 25 days = 3 weeks + 4 odd days. Sunday + 4 days = Thursday.

    Report this question

18. Q.18

    If 1 January is a Tuesday in a non-leap year, what day of the week is 1 January of the next year?

    1. A Wednesday
    2. B Thursday
    3. C Tuesday
    4. D Monday
    Show answer

    Correct answer: (A) Wednesday

    A non-leap year has 365 days = 52 weeks + 1 odd day. Tuesday + 1 day = Wednesday.

    Report this question

19. Q.19

    How many odd days are there in 100 years?

    1. A 5
    2. B 4
    3. C 3
    4. D 1
    Show answer

    Correct answer: (A) 5

    100 years = 76 ordinary years + 24 leap years. Odd days = 76×1 + 24×2 = 124, and 124 ÷ 7 leaves remainder 5.

    Report this question

Practise this topic →