Problems on Calendars - Practice Questions 1
Counting the number of days from the
date M to the date N
1) How many days
are there from 5th February 2020 to 20th April 2020
(both days inclusive)?
a) 76 days
b)82 days
c)75 days
d)92 days
Answer:
A
Explanation
:
Here we have to count the number of days
from 5th February 2012 to 20th April
2012 ( both inclusive)
The given year is a leap
year, So February month has 29 days.
From 5th to 29th February = 25 days
March = 31 days
From 1st to 20th April
= 20 days
-------------------
Total number of days
= 76 days
Counting the number of days from M
to N including both dates
2) How many days are there
from 23rd May 2023 to 18th August 2023 (both
inclusive)?
a)
80 b)81 c)88
d)84
Answer:
C
Explanation :
Here we have to count the number of days
from 13th May 2005 to 18th August
2005 ( both inclusive)
From 23rd
to 31st May = 9
days
In June
= 30 days
In July
= 31 days
From 1st to
18th August =18 days
-------------------
Total number of days
= 88 days
The number of days is 79
Counting the number of days between the two dates
3 ) What is the total
number of days between 9th June 2020 and
12th October 2020?
A) 120 days B) 124 days C) 131 days D) 134 days
Answer: B
Explanation :
The total number of days between 9th
June 2020 and
12th October 2020
We have to exclude both dates because
we have to find the number of days between them
June (10th to 30tj) :
21 days
July :
31 days
August : 31 days
September - 30 days
October (1st to 10Th)
: 11 days
-------------
124 days
The total number
of days between two given dates is 124 days
Finding a leap year :
4) Which among the
following years is not a leap year?
a) 1956 b) 2020 c) 1696 d) 1930
Answer: D
Explanation: A
leap year is a year that is exactly divisible by 4.
Years 1956, 2020, and 1696 are
divisible by 4 and are leap years.
However, 1930 is not divisible by 4,
making it not a leap year.
Therefore, 1930 is not a leap year
Concept of Century years – Leap
years
5 ) Which among the
following years is a leap year?
a) 1700 b) 2100 c) 2400 d) 1300
Answer: C
Explanation:
All the years in the given options are
century years.
A century year is a leap year only if
it is exactly divisible by 400.
1700, 2100, and 1300 are not exactly
divisible by 400.
2400 is exactly divisible by 400, so it
is a leap year.
Counting the number of odd days:
6) Find the number of odd
days in 160 days
a) 0
b)1
c)2
d)4
Answer:
D
Explanation:
Definition of Odd days :
The number of days more than the complete
number of weeks in the given period are odd days.
160 = (22×7)+ 6 =22 complete weeks + 6 extra days
= 6 odd days.
7) If there are 650 days
in a calendar year and 14 days in a week. How many odd days are there in a
year?
A) 2 B) 9 C) 5 D) 6
Answer: D
Explanation:
Number of days in a year = 650
Number of days in a week = 14
Odd days are the number of days more
than the complete number of weeks in a period.
days = (46 x 14 days) + 6 days
= 46 weeks + 6 extra days
Hence, the number of odd days is 6.
Counting the number of odd days in N
consecutive years
8)
How many odd days are in the first 15 consecutive years from the year 1700?
a)
4 b) 5 c) 6 d) 7
Answer:
A
Explanation:
The first 15
consecutive years from 1700 are from 1700 to 1714.
Leap years in
these 15 years are 1704, 1708, and 1712, and the remaining 12 years are non-leap
years.
A leap year
has 2 odd days and a non
Number of odd
days = (3 x 2 odd days) + (12 x 1 odd day)
= 6 + 12 = 18
odd days
Now, 18 odd
days is equivalent to 4 odd days (as 18 is divisible by 7).
Therefore,
the correct answer is option A) 4.
Number of odd days in
N Consecutive Years :
9) Find the number of odd
days in 126 consecutive years starting from 1850.
a)0 b)1 c)2
d)3
Answer:
C
Explanation
:
A period of 100 years has 5 odd days
because there is no century leap year in the given period.
In 26 years, 6 are leap years, and the
remaining years are ordinary years.
For 126 years:
100 years + 26 years =
100 years + 6 leap years + 20 ordinary
years =
5 odd days (for 100 years) + (6 leap
years x 2) + (20 ordinary years x odd days)
= 37 odd days = (5 x 7) + 2 = 37 i.e, 2 odd days
Finding the day of the
week after N days
10) Today is Thursday.
What will be the day of the week after 108 days?
a) Sunday
b) Monday
c)
Tuesday d) Saturday.
Answer: A
Explanation :
108 days=(15×7)+3=3 odd days.
The number of days in 108 days is 3.
The required day is 3 days after Thursday i.e., Sunday
Determining the day of the week N
days hence
11) Today is Wednesday.
After 198 days, the day of the week will be
a) Monday b) Thursday c) Sunday d) Friday
Answer: C
Explanation:
198 days = (28 days x 7) + 2 days = 28
complete weeks + 2 extra days
The number of odd days in 198 days is
2.
The day of the week will be 2 days
after Wednesday => Wednesday + 2 days = Friday.
Finding the day of the week N days
before
12) Today is Sunday. What
day of the week was it 45 days ago?
a) Tuesday b) Wednesday c) Thursday d)
Friday
Answer: C
Explanation:
45 days = (6 x 7 days) + 3 = 3 odd days
The day is 3 days before Sunday, i.e.,
Thursday.
Determining the day of the week N
days ago
13) Today is Monday. What
day of the week was it 282 days ago?
A) Saturday B) Sunday C) Friday D) Wednesday
Answer: A
Explanation:
282 days = 40 weeks + 2 days = 2 odd
days.
The day of the week 282 days ago
=> 2 days before Monday = (Monday - 2) = Saturday.
Therefore, the correct answer is A) Saturday.
14) If the day before
yesterday was Thursday, what day will the twelve days after tomorrow be?
A) Wednesday B) Thursday C) Saturday D) Monday
Answer: A
Explanation:
The day before yesterday was Thursday.
So today is Thursday + 2 = Saturday.
Tomorrow will be => Saturday + 1 =
Sunday.
The number of odd days in 12 days = 5
Twelve days after tomorrow => Sunday
+ 5 = Friday.
15) If one day after day
after tomorrow is Saturday, what day was tomorrow’s day before yesterday?
A) Wednesday B) Monday C) Tuesday D) Sunday
Answer: c
Explanation:
One day after the day after tomorrow is
Saturday.
Tomorrow is => Saturday – 2 =
Thursday.
Tomorrow’s day before yesterday => 2
days before tomorrow
=> Thursday – 2 = Tuesday
16) If 8th July falls 3 days after tomorrow and tomorrow
is a Friday; on which day will the last day of the month fall?
A) Wednesday B) Tuesday C) Thursday D)
Saturday
Answer: A
Explanation:
8th July falls 3 days after tomorrow.
Given that tomorrow is Friday.
So, the day of the week on 8th
July => Friday + 3 = Monday.
Mondays in that month => 1st ,
8th , 15th
, 22nd and 29th
Last day of the month, 31st July => 29th
July + 2 = (Monday + 2) = Wednesday.
16) If 5 days after the
day after tomorrow is Sunday, what day was the 4 days before the day before
yesterday?
A) Thursday B) Monday C) Tuesday D) Wednesday
Answer: C
Explanation:
5 days after day after tomorrow is
Sunday.
7 days after , Sunday
Today is (Sunday - 7) = Sunday
4 days before the day before yesterday
=> 6 days before today
=> Sunday - 6 = Monday.
17) If six days after
today is Wednesday, what day was 12 days before yesterday?
a) Friday b) Saturday c) Monday d) Tuesday
Answer: A
Explanation:
Six days after today is Wednesday.
Today is (Wednesday - 6) = Thursday.
So, yesterday was Wednesday.
There are 5 odd days in 12 days.
12 days before yesterday =>
Wednesday - 5 = Friday.
18) Priya visits the
local library only on Saturdays. She went to the library 9 days ago. What day
of the week is today?
A) Tuesday B) Wednesday C) Monday D) Sunday
Answer: C
Explanation:
Priya visits the library only on
Saturdays, and she went to the library 9 days ago.
So, 9 days ago, it was Saturday.
The number of odd days in 9 days is 2.
Therefore, today is (Saturday + 2) = Monday.
19) If Friday is the
first day of a leap year, what day would the last day of the year be?
A) Sunday B) Thursday C)
Friday D) Saturday
Answer: C
Explanation:
The first day of the given leap year is
Friday.
The last day of the leap year would be
1 day after the first day of that year.
So the last day would be Friday + 1 =
Saturday.
20) Three days after
tomorrow is Sudheer's Birthday. On the same day, next week falls on 'Ugadi '.
Today is Friday. What day of the week will be the three days after ‘Ugadi'?
A) Sunday B) Tuesday C) Friday D) Saturday
Answer: C
Explanation:
Today is Friday.
Sudheer's birthday falls three days
after tomorrow => Friday + 4 = Tuesday.
The problem states that Ugadi falls on the same day as Sudheer's Birthday that is Tuesday.
Three days after Ugadi will be => Tuesday + 3 = Friday.
