Problems on Calendars - Brain Teasers Handout 3
1) What is the probability that an ordinary year
selected at random contains 53 Tuesdays?
a)1/7 b)
2/7 c)3/7 d)3/14
2) What is the probability that a leap year selected at
random contains 53 Thursdays?
a)1/7 b)2/7
c)3/7 d)4/7
3)
How many
times do the 29th day of the month occur
400
consecutive years?
)97 times b) 4400 times c) 100 times d) None
4) Mr.Tiwary was born on 29th February 1904, which happened
to be Monday, and he lived for 94 years. How many birthdays did Mr.Tiwary
celebrate on Mondays in his lifetime?
a) 1 b) 2 c) 3 d) 4
5)
The year
209N is a leap year. Which of the following years will definitely be a leap
year?
a) 209N+4 b)209N+8 c)209N+12 d)209N+6
6)
A leap year
A has the same calendar as another leap year B. What is the absolute difference
between the values of B and A?
a)28 b)12
c)40 d)All of the above
7)
Instead of
every fourth year, every third year is a leap year, then what day will be it on
1st January 2024, if the year 2017 is a leap year and 1st
January 2017 is Friday?
a)
Monday b)Tuesday c) Thursday d) Wednesday
8) What is the value of x+y+z, if (31x + 30y + 29z) = 366, where x, y, and z
are positive integers?
a) 10 b) 11 c) 12 d) 13
9)
Suresh is 500 days older than Srikanth. Srikanth is
104 weeks and two days younger than Sushma. Suresh's brother is 848 days
younger than Suresh. If Sushma was born on Saturday then on which day of the
week was the younger brother of Suresh born?
a)Sunday b)Saturday
c)Thursday d)None of these
10) In a certain leap year, January has exactly 5
Sundays and 4 Mondays. Which day of the week will it be on December 30th of
that year?
a)Friday b) Sunday c) Monday d)Tuesday
11) April month of a certain year has 5 Mondays. Then
which of the following could be the last day of the year?
a) Monday b) Tuesday c) Wednesday d) a
or b
12) Kritik goes to swimming classes every Sunday and
only on Sundays. If he goes to the class on 19th February in a
certain year, on which date will he go to the class 3rd time in
June of the same year?
a)17th June b)18th
June
c)19th June d) Can't be determined
13) Assume that the number
of days per week is 9 and a year has 542 days. How many days could be in N
weeks and 3 days?
a)73 b)86 c)91 d)84
14) On planet X, the number of days per week is 11.
The total number of days in N weeks and N days and N2 weeks and
N2 days is 2184. Find the number of odd days in N days.
a)0 b) 6 c) 2 d)3
15) Assuming that three of the following four dates in
the year 2024 are correct, then which one of the following dates would be
wrong?
a)Thursday, 18th January b) Friday, 23rd February
c)
Sunday, 8th April d) Saturday, 1st June
16) XYZ company gives holidays only on Sundays, and
employees have the option of casual leaves only on Saturdays. Mr. Murthy
working as a relationship manager opted for all casual leaves in April in a
certain year. He worked only 20 days in April. Then how many casual holidays
can he opt for in November?
a)3 b)4 c)5 d)6
17) Sameera joins an institute for campus placement training. The institute
gives holidays on weekends ( Saturday and Sunday ) and public holidays. And all
the other days of the month are working days. Public holidays in March are
Ugadi and Sri Ramanavami. Ugadi falls on 21st March, Sri Ramanavami
falls on 29th March, and Sri Ramanavami falls on Friday. How
many total holidays does she get in March?
a)12 b) 9
c) 10 d) 11
18) Mr. Ravi is working as
a Probationary Officer in a bank. Every Sunday and 1st, 3rd, and 5th Saturdays
are holidays and all other days are working days. Assuming Ravi does not take
any leaves, then how many days does Mr. Ravi work in May and June if the
non-leap year begins on Saturday?
a)52 b)48 c)51 d)47
19) 1st June of a leap year is a Monday. How many times does Thursday
occur in that year?
a)51
times b) 52 times c)53 times
d) Can't be determined
20) 140th day of the year, Y is a Sunday, and the 201
day of the year (Y+1) is also a Sunday. Then find the day of the week on the
150th day of the year (Y-1 ).
a) Sunday b) Tuesday c) Thursday d) Mondayay
