Today is Thursday. What will be the day of the week after 94 days?
(A) Sunday
(B) Monday
(C) Tuesday
(D) Wednesday
Solution:
94 days = (13 × 7) + 3 = 3 odd days. The required day is 3 days beyond Thursday i.e., Sunday
22.
What is two weeks from today?
(A) Same day
(B) Previous day
(C) Next day
(D) None
Solution:
We know that the day repeats every 7 days, 14 days, 21 days, ......... So if today is Monday, after 7 days it is again Monday, after 14 days again it is Monday. Hence, after 2 weeks i.e, 14 days the day repeats and is the same day.
23.
How many leap years do 300 years have?
(A) 75
(B) 74
(C) 72
(D) 73
Solution:
Given year is divided by 4, and the quotient gives the number of leap years. Here, 300 ÷ 4 = 75 But, as 100, 200 and 300 are not leap years ⇒ 75 - 3 = 72 leap years.
24.
January 1, 2004 was a Thursday, what day of the week lies on January 1, 2005.
(A) Wednesday
(B) Thursday
(C) Friday
(D) Saturday
Solution:
Given that January 1, 2004 was Thursday. Odd days in 2004 = 2 (because 2004 is a leap year) (Also note that we have taken the complete year 2004 because we need to find out the odd days from 01-Jan-2004 to 31-Dec-2004, that is the whole year 2004) Hence January 1, 2005 = (Thursday + 2 odd days) = Saturday
25.
What was the day on 15th august 1947 ?
(A) Friday
(B) Saturday
(C) Sunday
(D) Thursday
Solution:
15th Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947) Odd days in 1600 years = 0 Odd days in 300 years = 1 46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2) = 57 (8 weeks + 1 day) = 1 odd day Jan. Feb. Mar. Apr. May. Jun. Jul. Aug ( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days Hence, as the number of odd days = 5, given day is Friday.
26.
How many days will there be from 26th January, 1996 to 15th May, 1996 (both days included)?
(A) 110
(B) 111
(C) 112
(D) 113
Solution:
Number of days from 26-Jan-1996 to 15-May-1996 (both days included) = 6(Jan) + 29(Feb) + 31 (Mar) + 30(Apr)+ 15(May) = 111
27.
Today is Thursday. The day after 59 days will be?
(A) Sunday
(B) Monday
(C) Tuesday
(D) Wednesday
Solution:
59 days = 8 weeks 3 days = 3 odd days Hence if today is Thursday, After 59 days, it will be = (Thursday + 3 odd days) = Sunday
28.
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.
29.
Today is 3rd November. The day of the week is Monday. This is a leap year. What will be the day of the week on this date after 3 years?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
Solution:
This is a leap year. So, none of the next 3 years will be leap years. Each year will give one odd day so the day of the week will be 3 odd days beyond Monday i.e. it will be Thursday.
30.
What day of the week will 22 Apr 2222 be?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
Solution:
22 Apr 2222 = (2221 years + period from 1-Jan-2222 to 22-Apr-2222) We know that number of odd days in 400 years = 0 Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400) Number of odd days in the period 2001-2200 = Number of odd days in 200 years = 5 x 2 = 10 = 3 (As we can reduce perfect multiples of 7 from odd days without affecting anything) Number of odd days in the period 2201-2221 = 16 normal years + 5 leap years = 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days Number of days from 1-Jan-2222 to 22 Apr 2222 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112 112 days = 0 odd day Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day 1 odd days = Monday Hence 22 Apr 2222 is Monday