January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Sunday
Solution:
The year 2007 is an ordinary year. So, it has 1 odd day. 1st day of the year 2007 was Monday. 1st day of the year 2008 will be 1 day beyond Monday. Hence, it will be Tuesday.
72.
The calendar for the year 2007 will be the same for the year:
(A) 2014
(B) 2016
(C) 2017
(D) 2018
Solution:
Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day. Year Odd Day 2007 1 2008 2 2009 1 2010 1 2011 1 2012 2 2013 1 2014 1 2015 1 2016 2 2017 1 Sum = 14 odd days ≡ 0 odd days. ∴ Calendar for the year 2018 will be the same as for the year 2007.
73.
If 4th december 1999 is Monday then what day is 3rd january 2000 ?
(A) Sunday
(B) Monday
(C) Tuesday
(D) Wednesday
Solution:
Here from 4th December 1999 to 3rd January 2000, there is a difference of 30 days Number of odd days = $$\frac{{30}}{7}$$ = 2 odd days Then no. of odd days = 2 ⇒ tuesday and wednesday (from monday) Hence on 3rd january it is wednesday.
Given that on 9th August 2016 is Saturday. What was the day on 9th August 1616 ?
(A) Saturday
(B) Sunday
(C) Friday
(D) Monday
Solution:
We know that, After every 400 years, the same day occurs. Thus, if 9th August 2016 is Saturday, before 400 years i.e., on 9th August 1616 has to be Saturday.
76.
If the first day of a year (other than leap year) was Friday, then which was the last day of that year?
(A) Wednesday
(B) Thursday
(C) Friday
(D) Saturday
Solution:
Given that first day of a normal year was Friday Odd days of the mentioned year = 1 (Since it is an ordinary year) Hence First day of the next year = (Friday + 1 Odd day) = Saturday Therefore, last day of the mentioned year = Friday
77.
Which calendar was used again in the year 1856?
(A) 1828
(B) 1850
(C) 1830
(D) 1852
Solution:
Given year 1856, when divided by 4 leaves a remainder of 0. NOTE: When remainder is 0, 28 is subtracted to the given year to get the result. So, 1856 - 28 = 1828
78.
If 25th of August in a year is Thursday, the number of Mondays in that month is
(A) 5
(B) 7
(C) 9
(D) 11
Solution:
Given that 25th August = Thursday Hence 29th August = Monday So 22nd,15th and 8th and 1st of August also will be Mondays Number of Mondays in August = 5
79.
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 Mayb 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.
80.
On 24th Nov, 2007 Thursday falls. What day of the week was it on 10th Nov, 2006 ?
(A) Wednesday
(B) Tuesday
(C) Friday
(D) Thursday
Solution:
The year 2006 is an ordinary year. So, it has 1 odd day. So, the day on 24th Nov, 2007 will be 1 day beyond the day on 24th Nov, 2006. But, 24th Nov, 2007 is Thursday. 24 - 10 = 14 days. Therefore, 2 weeks ago it is same day. Thus, 10th Nov, 2006 is one day before 10th Nov, 2007 i.e. it is Wednesday.