- 1. What will be the day of the week 15
^{th}August, 2010?

Options- A. Sunday
- B. Monday
- C. Tuesday
- D. Friday Discuss

Correct Answer: Sunday

15

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days ≡ 4 odd days.

Jan. Feb. March April May June July Aug. (31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days

∴ 227 days = (32 weeks + 3 days) ≡ 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7 ≡ 0 odd days.

Given day is Sunday.

- 2. How many days are there in
*x*weeks*x*days?

Options- A. 7
*x*^{2} - B. 8
*x* - C. 14
*x* - D. 7 Discuss

Correct Answer: 8

- 3. What was the day of the week on 28
^{th}May, 2006?

Options- A. Thursday
- B. Friday
- C. Saturday
- D. Sunday Discuss

Correct Answer: Sunday

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) ≡ 6 odd days

Jan. Feb. March April May (31 + 28 + 31 + 30 + 28 ) = 148 days

∴ 148 days = (21 weeks + 1 day) ≡ 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 ≡ 0 odd day.

Given day is Sunday.

- 4. Today is Monday. After 61 days, it will be:

Options- A. Wednesday
- B. Saturday
- C. Tuesday
- D. Thursday Discuss

Correct Answer: Saturday

Each day of the week is repeated after 7 days.

So, after 63 days, it will be Monday.

∴ After 61 days, it will be Saturday.

- 5. The calendar for the year 2007 will be the same for the year:

Options- A. 2014
- B. 2016
- C. 2017
- D. 2018 Discuss

Correct Answer: 2018

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Year : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 Odd day : 1 2 1 1 1 2 1 1 1 2 1

Sum = 14 odd days ≡ 0 odd days.

∴ Calendar for the year 2018 will be the same as for the year 2007.

- 6. The last day of a century cannot be

Options- A. Monday
- B. Wednesday
- C. Tuesday
- D. Friday Discuss

Correct Answer: Tuesday

100 years contain 5 odd days.

∴ Last day of 1^{st} century is Friday.

200 years contain (5 x 2) ≡ 3 odd days.

∴ Last day of 2^{nd} century is Wednesday.

300 years contain (5 x 3) = 15 ≡ 1 odd day.

∴ Last day of 3^{rd} century is Monday.

400 years contain 0 odd day.

∴ Last day of 4^{th} century is Sunday.

This cycle is repeated.

∴ Last day of a century cannot be Tuesday or Thursday or Saturday.

- 7. What was the day of the week on 17
^{th}June, 1998?

Options- A. Monday
- B. Tuesday
- C. Wednesday
- D. Thursday

Correct Answer: Wednesday

17

Odd days in 1600 years = 0

Odd days in 300 years = (5 x 3) ≡ 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan. Feb. March April May June (31 + 28 + 31 + 30 + 31 + 17) = 168 days

∴ 168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

Given day is Wednesday.

- 8.
**If 6**what was the day of the week on 6^{th}March, 2005 is Monday,^{th}March, 2004?

Options- A. Sunday
- B. Saturday
- C. Tuesday
- D. Wednesday Discuss

Correct Answer: Sunday

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

∴ The day on 6^{th} March, 2005 will be 1 day beyond the day on 6^{th} March, 2004.

Given that, 6^{th} March, 2005 is Monday.

∴ 6^{th} March, 2004 is Sunday (1 day before to 6^{th} March, 2005).

- 9. January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

Options- A. Monday
- B. Tuesday
- C. Wednesday
- D. Sunday Discuss

Correct Answer: Tuesday

The year 2007 is an ordinary year. So, it has 1 odd day.

1^{st} day of the year 2007 was Monday.

1^{st} day of the year 2008 will be 1 day beyond Monday.

Hence, it will be Tuesday.

- 10. On 8
^{th}Feb, 2005 it was Tuesday. What was the day of the week on 8^{th}Feb, 2004?

Options- A. Tuesday
- B. Monday
- C. Sunday
- D. Wednesday Discuss

Correct Answer: Sunday

The year 2004 is a leap year. It has 2 odd days.

∴ The day on 8^{th} Feb, 2004 is 2 days before the day on 8^{th} Feb, 2005.

Hence, this day is Sunday.

Copyright ©CuriousTab. All rights reserved.