1. How many odd days are there in 95 days?
1) 4 2) 5 3) 3 4) 6
2. If 6th February 2012 is Sunday, then 14th Nov in 2018 is on which day?
1) Friday 2) Wednesday 3) Saturday 4) Tuesday
3. If today is Friday, then what day was the 124th day back from today?
1) Monday 2) Wednesday 3) Friday 4) Sunday
4. What is the next leap year after 2096?
1) 2100 2) 2108 3) 2102 4) 2104
5. How many odd days are there in a leap year?
1) 1 2) 2 3) 0 4) 4
6. How many odd days are there in a non leap year?
1) 0 2) 4 3) 2 4) 1
7. How many odd days are there in the year 1974?
1) 0 2) 1 3) 2 4) 4
8. How many odd days are there in the year 2100?
1) 0 2) 1 3) 2 4) 4
9. How many odd days are there in the year 1956?
1) 0 2) 1 3) 2 4) 4
10. How many odd days are there in one year and twenty days?
1) 0 2) 1 3) 4 4) Cannot be determined
11. How many odd days are there from 15th January to 26th August (including both the days) in a leap
year?
1) 1 2) 2 3) 4 4) cannot be determined
12. How many odd days are there from 15th August to 26th January (including both the days) in a year?
1) 0 2) 6 3) 4 4) Cannot be determined
13. If 13th march in a particular year is Tuesday, then 19th October in that year is on
1) Friday 2) Saturday 3) Sunday 4) Monday
14. If 12th January in a particular year is Sunday, then 26th December in that year is on
1) Sunday 2) Friday 3) Tuesday 4) Cannot be determined
15. If 20th November in a particular year is Tuesday, then 16th March in that year is on
1) Sunday 2) Friday 3) Thursday 4) Cannot be determined
16. If the first day of the year 2015 is Wednesday, then what is the first day of the year 2019?
1) Friday 2) Saturday 3) Monday 4) Tuesday
17. If the first day of the year 2004 is Wednesday, then what is the first day of the year 2012?
1) Saturday 2) Friday 3) Sunday 4) Tuesday
18. How many odd days are there in the first 100 years?
1) 2 2) 3 3) 5 4) 6
19. How many odd days are there in the first 1400 years?
1) 0 2) 1 3) 5 4) 3
20. How many odd days are there in the first 2700 years?
1) 0 2) 1 3) 3 4) 5
21. If 14th March 2005 is Saturday, then 14th March 2007 is on which day?
1) Friday 2) Sunday 3) Monday 4) Thursday
22. If 28th January 2006 is Saturday, then 28th January in 2009 is on which day?
1) Wednesday 2) Friday 3) Sunday 4) Tuesday
KEY
1-1; 2-4; 3-4; 4-4; 5-2; 6-4; 7-2; 8-2; 9-3; 10-4; 11-1; 12-4; 13-1; 14-4; 15-2; 16-3; 17-1; 18-3; 19-4; 20-2;
21-3; 22-1.
SOLUTIONS
1. Number of odd days in 95 days.
95/7 = 13 complete weeks + 4 odd days
A: 1
2. If 6th February 2012 is Sunday, first let us find out 14th November in 2012 is on which day.
Number of odd days from 6
February 2012 to 14th November 2012
Month: Feb + March + Apr + May + June + July + Aug + Sep + Oct + Nov.
Odd days: 2 + 3 + 2 + 3 + 2 + 3 + 3 + 2 + 3 + 0
23/7 = 2 odd days.
From 6th February 2012 to 14th November 2012 there are two odd days, hence 14th November 2012
is two days to Sunday i.e. Tuesday.
From 14th November 2012 to 14th November 2018, there are six years. Among these six years there is
one leap year and five non leap years. 7
i.e: (1 × 2 + 5 × 1) ⇒ (2 + 5) = 7/7 = 0 7
odd days in these six years.
Hence, 14th November 2018 will be on the same day as 14th November 2012 i.e. Tuesday.
A: 4
3. Number of odd days in 124 days
124/7 = 5 odd days
If today is Friday then five days back from today was sunday
A: 4
4. For every four years a leap year will come, 2096 + 4 = 2100 but 2100 is a century year and is not
divided by 400. So, 2100 is not a leap year. Hence, the next leap year after 2096 will be 2104.
A: 4
5. A leap year will have 366 days.
Number of odd days in a leap year
366/7 = 2 odd days.
Hence a leap year will have two odd days.
A: 2
6. A non leap year will have 365 days
Number of odd days in a non leap year
365/7 = 1odd day
Hence, non leap year will have only one odd day.
A: 4
7. As 1974 is not divided by 4, it is a non leap year. A non leap year will have only one odd day.
A: 2
8. The year 2100 is a non leap year, so 2100 will have only one odd day.
A: 2
9. The year 1956 is a leap year. So 1956 will have two odd days .
A: 3
10. The given year is a leap year or non leap year is not clearly given. Hence number of odd days in one
year and twenty days cannot be determined.
A: 4
11. Number of odd days from 15th January to 26th August in a leap year
Months: Jan + Feb + March + April + May + June + July + Aug
Days (odd days): 17(3) + 29(1) + 31(3) + 30(2) + 31(3) + 30(2) + 31(3) + 26(5)
Total odd days = 22/7 = 1 odd day.
A: 1
12. As the year is a leap year or not is not clearly given. So, number of odd days cannot be determined.
A: 4
13. Number of odd days from 13th March to 19th October
Months: March + April + May + June + July + Aug + Sep + Oct
odd days: 4 + 2 + 3 + 2 + 3 + 3 + 2 + 5
Total odd days =
24/7 → 3 odd days.
Three days to Tuesday day is Friday.
A: 1
14. As the Year is a leap year or not is not clearly given So, number of odd days cannot be determined.
A: 4
15. Number of odd days from 20th November to 16th March
Months: Nov + Oct + Sep + Aug + July + June + May + April + March
Odd days: 5 + 3 + 2 + 3 + 3 + 2 + 3 + 2 + 2
25/7 = 4 Odd days
As 20th November is Tuesday then 16th March will be 4 days back to Tuesday i.e. Friday.
A: 2
16. There are four years in between 1st January 2015 to 1st January 2019. In these 4 years, there are 3 non
leap years and 1 leap year.
3 non leap years will have − 3 × 1 = 3
1 leap year will have − 1 × 2 = 2
= 5
Hence, there are five odd days in these four years.
As 1st January 2015 is Wednesday then 1st January 2019 will be five days to Wednesday i.e. Monday.
A: 3
17. There are eight years between 1st January 2004 to 1st January 2012. In these eight years there are six
non leap years and two leap years.
A leap year will have two odd days = 2 × 2 = 4
A non leap year will have one odd day = 6 × 1 = 6
Hence, there are ten odd days in these eight years = 10/7 = 3 odd days
As 1st January 2004 is Wednesday then 1st January 2012 will be three days to Wednesday i.e. Saturday .
A: 1
18. In the first hundred years, there are 24 leap years and 76 non leap years,
A leap year will have two odd days = 24 × 2 = 48
A non leap year will have one odd day= 76 × 1 = 76
total odd days = 124
i.e.
124/7 = 5 odd days
Hence, there are five odd days in the first 100 years.
A: 3
19. 1400 years = 400 × 3 + 200 years
0 × 3 + 3 × 1 = 3 odd days
(100 years − 5 odd days
200 years − 3 odd days
300 years − 1 odd day
400 years − 0 odd day)
A: 4
20. 2700 years = 400 × 6 + 300 × 1
0 × 6 + 1 × 1 = 1 odd day
Hence, there is one odd day in the first 2700 years.
A: 2
22. There are three years between 28th January 2006 to 28th January 2009. In these three years there is one
leap year and two non leap years. A leap year will have two odd days and a non leap year will have one
odd day (i.e. 1 × 2 + 2,× 1 = 4). So, there are four odd days. If 28th January 2006 is Saturday then 28th
January 2009 will be four days to Saturday i.e. Wednesday.
A: 1
