Problems on Calendars - Practice Questions 2
21) If 8th July is a
Sunday, what day will it be on 8th August of the same year?
A) Monday B) Tuesday C) Wednesday D) Friday
Answer: C
Explanation:
8th July falls on Sunday.
Number of days between the two dates =
31
So the number of odd days = 3
8th August of the same year will be (Sunday + 3) = Wednesday.
22) If the 13th of August
of a leap year falls on Friday, what would be the last day of that month?
A) Sunday B) Monday C) Wednesday D) Saturday
Answer: C
Explanation:
13th August is a Friday.
Fridays in that month fall on the dates
6, 13, 20, and 27.
So the 27th day of August falls on Friday.
The last day of the month, i.e., 31st
August falls on 4 days after Friday, i.e., Tuesday.
23) Anjali was born on the
14th of March. She celebrated her birthday for the seventh time on exactly 14th
March 2023. In which year was she born?
A) 2013 B) 2014 C) 2015
D) 2016
Answer: B
Explanation:
Anjali was born on the 14th of March.
She celebrated her birthday on 14th
March 2023 for the seventh time.
So she celebrated 7 birthdays => She
was born (7 x 1) = 7 years before 2023.
So she was born in (2023 - 7) = 2016.
24) Nikhila was born on
29th February. She celebrated her birthday for the fourth time on exactly 29th
February 2020. In which year was she born?
A) 2004 B) 2006 C) 2008 D) 2002
Answer: A
Explanation:
Nikhila was born on 29th February. So
she was born in a leap year.
She celebrated her birthday on 29th
February 2020 for the fourth time.
A leap year occurs every 4 years.
So, she celebrated 4 birthdays =>
She was born (4 x 4) = 16 years before 2020.
Therefore, she was born in (2020 - 16)
= 2004.
25) If a leap year starts
on Tuesday, then on which day of the week does 15th May of that year fall?
A) Friday B) Sunday C) Tuesday D)
Thursday
Answer: D
Explanation:
Given that the day of the week on 1st
January of a leap year is Tuesday.
The given year is a leap year. So
February month will have 29 days in that year.
Number of days from 2nd January to 15th May = 30 + 29 + 31 + 30 + 15 =
135
The number of odd days = (19 x 7) + 2 =
2 odd days
So, the day of the week on 15th May
falls 2 days after Tuesday, i.e., Thursday.
26)
If February 15th, 2024 falls on a Wednesday, what day of the week will it be on
July 5th, 2024?
a)Friday b)Thursday c)Monday d)Wednesday
Answer
:
Explanation
:
To find the
day of the week for July 4th, 2024, starting from February 15th, 2024, we need
to count the number of days between the two dates.
February has
29 days in 2024 because it is a leap year.
February
(29-15) = 14 days
March = 31 days.
April = 30 days.
May = 31 days.
June = 30 days.
July 5th = 5 days
Total days =
141 = 1 odd day.
Now, we need
to add 1 day to Wednesday (February
15th, 2024).
So, July 4th,
2024, will fall on a Thursday.
27)
It was Saturday, July 15th, 2022. What day of the week will be on November
15th, 2022?
a)
Sunday b) Monday c) Tuesday d) Wednesday
Answer:
B
Explanation:
Total number
of days from July 15th, 2022, to November 15th 2022,
= July (31 -
15 days = 16 days ) + August (31 days) + September (30 days) + October (31
days) + November (15 days) = 123 days
Number of odd
days = 123/7 = 4 odd days
The day
on November 15th, 2022 = Saturday + 4 =
Wednesday
28)
Pallavi was born on August 10th. The day of the week on January 1st, 2017, is
Sunday. On which day of the week does Pallavi celebrate her birthday in 2017?
A)
Friday B) Saturday C) Monday D) Wednesday
Answer:
C
Explanation:
Given that
the day of the week on January 1st, 2017, is Sunday.
Samantha will
celebrate her birthday on August 10th, 2017.
Number of
days from January 1st, 2017, to August 10th, 2017:
January
– 30 days
February – 28
days (non-leap year)
March – 31 days
April – 30 days
May – 31 days
June - 30 days
July – 31 days
August – 10 days
Total number
of days = 221 days
Number of odd
days = 4 odd days
Pallavi will
celebrate her birthday in 2017 on => Sunday + 4 = Thursday
29)
It was Saturday, September 3rd, 2011. What day of the week will it be on
September 3rd, 2012?
a)
Sunday b) Monday c) Tuesday d)
Wednesday
Answer: B
Explanation:
There is
exactly 1 year between the two dates.
2012 is a
leap year, so it has 2 odd days.
The day of
the week on September 3rd, 2012, is two days beyond Saturday => Monday
30)
It was Monday, March 8th, 2021. What day of the week will it be on March 8th,
2022?
a)
Monday b) Tuesday c) Wednesday d) Thursday
Answer:
C
Explanation:
There is
exactly one year (365 days) between the two dates, and without any leap years,
there is just one odd day
The day of the week on March 8th, 2022, is one
day beyond Monday
=> Monday + 1 = Tuesday.
31) Today is November
10th, and it's a Thursday. Considering that this is a leap year, what day of
the week will fall on this date after the next 3 years?
a) Sunday b) Monday c) Tuesday d) Thursday
Answer: A
Explanation:
Since the current year a leap year, none of the next 3
years will be leap years.
Each ordinary year has one odd day, so
there will be 3 odd days in the next 3 years.
The day of the week will be 3 odd days
beyond Thursday => Thursday + 3 = Sunday.
32) The day of the week of
May 18th, 2016, is Sunday. Find the day of the week on the same date four years
earlier.
A) Tuesday B) Wednesday
C) Friday D) Sunday
Answer: A
Explanation:
The given date is May 18th, 2016, which
falls on a Sunday.
From 18th May 2016 to 18th
Man 2012, there are 3 non-leap years and one leap year.
The total number of odd days =
(1 x 2) for one leap year + (3 x 1) for
3 non-leap years = 5
5 days before Sunday = Sunday - 5 =
Tuesday
33) Given that 22nd August
1810 is Saturday. What will be the day on 22nd August 2210?
a) Monday b) Tuesday c) Saturday d) Sunday
Answer: C
Explanation:
22ND Augst 1810 to 22nd
August 2210 = 400 years
After every 400 years, the same day
occurs. (Because a period of 400 years has 0 odd days)
22nd August 1810 is Saturday.
After 400 years, i.e., on 22nd August
2210, it has to be Saturday.
34) The day of the week
on September 5th, 2021, is Friday. What will be the day of the week on the same
date seven years later?
A) Thursday B) Saturday C) Monday
D) Wednesday
Answer: C
Explanation:
Given that the day of the week on
September 5th, 2021, is Friday.
After 7
years, it will be => September 5th, 2028,
In these 7 years, two leap years (2024
and 2028) and five non-leap years (2022, 2023, 2025, 2026, and 2027)are there.
Odd days = ( 2 x 2) + (5 x 1) = 9 i.e, 2 odd days
Counting two days ahead from Friday =
Friday + 2 = Sunday
35) 1st January 2005 fell on a Sunday. What
day of the week was 1st January 2004?
a) Monday b) Tuesday c)
Thursday d) Friday e) Sunday
Answer: D
Explanation:
The number of days from 1st January
2004 to 1st January 2005 is 366 days (because 2004 is a leap year and includes
February 29th).
So, we have 2 odd days.
1st January 2004 was two
days before Sunday, i.e., it was Friday.
36) If the first day of
September in a year falls on a Wednesday, then on which dates in December of
the same year will Thursday fall?
A) 3rd, 10th, 17th, 24th,
and 31st
B) 5th, 12th, 19th, and
26th
C) 2nd, 9th, 16th, 23rd,
and 30th
D) 7th, 14th, 21st, and
28th
Answer: C
Explanation:
Given that the first day of September
is a Wednesday
Number of days from September 2nd to
December 1st:
September - 29 days
October - 31 days
November - 30 days
December - 1 day.
Total number of days = 91days
Number of odd days = 0 odd days
1st December = Wednesday + 0 =
Wednesday.
Thursday falls on 2nd December
So, Thursday will fall on 2nd, 9th,
16th, 23rd, and 30th of December.
37) Mrudula was born on
March 15, 2012, which was a Friday. On what day of the week will she celebrate
her 13th birthday?
A) Monday B) Wednesday C) Saturday D)
Sunday
Answer: D
Explanation:
Given that March 15, 2012, is a Friday.
After 13 years, she will celebrate her
birthday on March 15, 2025.
In these 13 years, there are 3 leap
years (2016, 2020, and 2024) and 10 ordinary years.
Each ordinary year has 1 odd day, and
each leap year has 2 odd days.
The total number of odd days = (10 x 1)
+ (3 x 2) = 16 i.e, 2 odd days.
So after 13 years, Mrudula will
celebrate her birthday on (Friday + 2) = Sunday.
38) On September 1st,
2033, the day of the week is Friday. Find the day of the week on September 1st,
2018.
A) Wednesday B) Monday C) Friday D) Sunday
Answer: D
Explanation:
The number of years from 2033 to 2018
is 15 years, with 4 leap years (2020, 2024, 2028, and 2032) and 11 non-leap
years.
The number of odd days in 11 non-leap
years = 11 odd days.
The number of odd days in 4 leap years
= 8 odd days.
Total odd days = (11 + 8) odd days = 19 i.e, 5 odd days
So, the day of the week on September
1st, 2018, was Friday - 5 = Sunday
39) 12th March 2019 was
Sunday. What was the day of the week on 12th February 2010?
A) Thursday B) Saturday C) Monday D)
Wednesday
Answer: A
Explanation:
Number of days from 12th March 2019 to
12th March 2010
=> Exactly 9 years.
There are 2 leap years (2016 and 2012)
and the remaining 7 years are non-leap years.
So the number of odd days = (2 x 2) +
(7 x 1) = 11, i.e., 4 odd days.
Number of days from 12th March 2010 to
12th February 2010 = 28 days in February, i.e., 0 odd days.
Total number of odd days is (4 + 0) = 4
odd days.
So, 12th February 2010 was 4 days
before Sunday => Sunday – 4 = Thursday.
40) The day of the week
on 5th August 1991 was Monday. What day of the week was 14th March 2026?
A) Sunday B) Wednesday C) Thursday D) Saturday
Answer: C
Explanation:
From 5th August 1991 to 5th August
2025, there are exactly 34 years.
Leap years in these 34 years =>
1992, 1996, 2000 , 2004 , 2008 , 2012 ,2016 , 2020 and 2024
Odd days in 34 years => 9 leap years
+ 25 ordinary years = (9 x 2) + 25 x 1 = 43 odd days, i.e., 1 odd days.
From 5th August 2024 to 14th March 2025
=> August 26 days + September 30 days + October 31 days + November 30 days +
December 31 days + January 31 days + February 28 days + March 14 days = 221
days = 4 odd days.
The total number of odd days = 1 + 4 =
5 odd days.
The day of the week on 14th March 2026
will be => 5 days after Monday
=> Monday + 5 = Saturday.
