Learn the basics of modern mathematics and the shortcuts to solve the complex Calendar questions.
Q1) What day of the week does May 28 2006 fall on
A) Saturday
B) Monday
C) Sunday
D) Thursday
Solution :
Q2) What will be the day of the week 15th August, 2010?
A) Saturday
B) Monday
C) Sunday
D) Thursday
Solution :
Q3) Today is Monday. After 61 days, it will be
A) Sunday
B) Saturday
C) Monday
D) Thursday
Solution :
Q4) How many days are there in x weeks x days
A) 7
B) 14x
C) 7x2
D) 8x
Solution :
Q5) It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
A) Sunday
B) Saturday
C) Friday
D) Wednesday
Solution:
On 31st December, 2005 it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.
On 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday.
Q6) What was the day of the week on 28th May, 2006?
A) Thursday
B) Friday
C) Saturday
D) Sunday
Solution:
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.
Q7) What was the day of the week on 17th June, 1998?
A) Monday
B) Tuesday
C) Wednesday
D) Thursday
Solution:
17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
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.
Q8) What will be the day of the week 15th August, 2010?
A) Sunday
B) Monday
C) Tuesday
D) Friday
Solution:
15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)
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.
Q9) Today is Monday. After 61 days, it will be:
A) Wednesday
B) Saturday
C) Tuesday
D) Thursday
Solution:
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.
Q10) If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
A) Sunday
B) Saturday
C) Tuesday
D) Wednesday
Solution:
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 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.
Given that, 6th March, 2005 is Monday.
6th March, 2004 is Sunday (1 day before to 6th March, 2005).