Calendar Questions and Answers

September 22, 2023

Calendar Questions

Go through Calendar Questions Page to get all the sample Calendar Questions for Practicing for Competitive Exam. Here you will also get some Formula that’ ll make Calendar Questions Solving easy.

About Calender: Basically, there are 365 days in an ordinary year, which means 52*7+1 day or 52 weeks plus one day per year. This concept is applicable only for years excluding the leap year.

Formula or Rule for solving CALENDAR questions

100 years give us 5 odd days
200 years give us 5 x 2 = 10 – 7 (one week) = 3 odd days.
300 years have 5 x 3 = 15 – 14 (two weeks) =1 odd day.
400 years have [{5 x 4 + 1 (leap century)} – 21] (three weeks)= 0 odd days.
January has 31 – 28 = 3 odd days.
February has 28 – 28 = 0 odd day in a typical year and 1 odd day in a leap year and so on for all the other months.

Concept of Odd Days: Whenever we are asked to find out a day of the week on a specific date, we use the concept of 'odd days'. Odd days may be defined as the number of days more than whole weeks.

Leap Year: If it is not a century, then each year divided by four is a leap year. One point also to be noted here is that leap year comes in every 4’th century.

Points To Remember:

Leap year rule:
- A year is a leap year if it is divisible by 4.
- However, if a year is divisible by 100, it is not a leap year unless it is also divisible by 400.
- For example, the year 2000 was a leap year because it is divisible by both 4 and 400.
Odd days:
- The concept of odd days is used in the doomsday rule to find the day of the week for a given date within the same year.
- In a normal (non-leap) year, there are 365 days, which is equivalent to 52 weeks and 1 day (1 odd day).
- In a leap year, there are 366 days, which is equivalent to 52 weeks and 2 days (2 odd days).
Doomsday rule:
- The doomsday rule is a mental calculation technique to find the day of the week for any date in a given year.
- It is based on a set of anchor days for each century (e.g., 1800, 1900, 2000) and applying simple arithmetic to find the day of the week.
- With practice, this rule can be used to quickly determine the day of the week for any date.

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Practice Calendar Questions and Answers

1. If it is Sunday on Jan 1, 2006, determine the day on Jan 1, 2010?

Friday

60.87%

Monday

17.39%

Thursday

17.39%

None of the above

4.35%

It was Saturday on 31^st December 2005.

Odd days from the year 2006 to 2009 = (1+1+2+1) = 5 days

Therefore, it was Thursday on 31^st December 2009, and the next day, 1^st January 2010 will be Friday.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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2. Find out the day for 28^th of May 2006?

sunday

44.44%

tuesday

22.22%

saturday

22.22%

None of the above

11.11%

28 May 2006

= (2005 + time from 1^st Jan 2006 to 28^th May 2006)

Number of odd days in 1600 years =0

Number of odd days in 400 years =0

Calculation for 4 years = (4 ordinary years + 1 leap year)

= (4 x 1 + 1x 2)

= 6 odd days

Also, total days =

Jan = 31

Feb = 28

March = 31

April = 30

May= 28

Sum of all these days = 148

Number of add days in these 148 days = (21 weeks + 1 day) = 1 odd day

Total odd days = 0+0+6+7 = 7 (which leaves no odd day)

Therefore, the required day is Sunday.

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3. Find out the day after 61 days if today is Monday?

Monday

9.52%

Tuesday

9.52%

Saturday

76.19%

None of the above

4.76%

It takes seven days to repeat each day in a week.

Therefore, after 63 days, it will be on Monday.

And after 61 days, it will be on Saturday.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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4. If it is Monday on 6^th March 2005, what is the day of 6^th March 2004?

Tuesday

10%

Sunday

75%

Wednesday

None of the above

10%

2004 is a leap year and has 2 odd days

The month of Feb 2004 will not be calculated and hence, it has only 1 odd day.

Therefore, the day of 6^th March 2005 will be one day after the day on 6^th March 2004.

It is also given that 6^th March 2005 is a Monday.

Hence, 6^th March 2004 is a Sunday.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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5. For April 2001, on what all dates will it be Wednesday?

5, 7, 9, 10

10.53%

2, 3, 5, and 7

10.53%

4, 11, 18, and 25

68.42%

1, 2, 3, and 4

10.53%

Determining the day on 1^st April 2001 = (2000 + time from 1.1.2001 to 1.4.2001)

Number of odd days in 1600 years = 0

Number of odd days in 400 years = 0

Calculation for Jan, Feb, March, and April= 31 +28 + 31 +1 = 91 days and 0 odd days

Total odd days = (0+0+0) =0

Day on 1^st April 2001 = Sunday

Therefore, dates on which Wednesday will fall = 4, 11, 18, and 25 as counted by the interval of 7 days each.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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6. Calculate the number of days in p weeks and p days.

55.56%

p^2

22.22%

5 + p

11.11%

p weeks and p days = (7p + p) days

= 8p days

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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7. From the options provided, which day is not a century’s last day?

Tuesday

52.38%

Monday

19.05%

Wednesday

19.05%

None of the above

9.52%

Odd days in 100 years = 5

Therefore, we can say that the last day of the first century is Friday.

Odd days in 200 years = (2 x 5) Ξ 3 odd days

Therefore, the last day of the second century is Wednesday

Odd days in 300 years = (5 x 3) = 15 Ξ 1 odd days

Therefore, we can say that the last day of the third century is Monday.

Odd days in 400 years = 0

Therefore, we can say that the last day of the 3rd centaury is Sunday.

The above cycle is repeated.

We can say that a century’s last day cannot be Tuesday, Thursday, or Saturday.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

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8. The day of the week on 7th February 2005 was a Monday. Determine the day of the week on 7th February 2004?

Saturday

41.18%

Friday

5.88%

Tuesday

23.53%

None of the above

29.41%

2004 is a leap year and hence, number of odd days = 2

Therefore, the day of 8th Feb 2004 will be 2 days before the day on 8th Feb 2005.

Therefore, the day is Saturday.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

9. Among the following, which of these is not a leap year?

300

66.67%

400

14.29%

1200

4.76%

None of the above

14.29%

The number which is divisible by 400 is a leap year.

Therefore, the year 300 is not a leap year.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

10. It is on Friday, 7^th December 2007. Which day of the week will fall on 7^th December 2006?

Thursday

76.47%

Monday

11.76%

Tuesday

5.88%

None of the above

5.88%

2006 is an ordinary year. Hence, the number of odd days = 1.

Also, the day of 7^th December 2007 will be one day after the day on 7^th December 2006.

Day on 7^th December 2007= Friday.

Hence, 8^th December 2006 = Thursday.

Good Job! Did you know? : With $8.5 billion in their kitty, Wipro is the 4th largest Indian IT company in terms of revenue.

Oops!

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