Calendar & Clock Reasoning MCQs for Competitive Examination
Solve the following problems.
Q. 1
What was the day of the week on 15 August 2013?
(A) Monday
(B) Wednesday
(C) Thursday
(D) Tuesday
Answer: (C) Thursday
Explanation: 2000 + (9 Ordinary year + 3 Leap Year) + (Jan + Feb + Mar + Apr + May + June + July + Aug(15 days)) = 0 + (9 + 3 * 2) + (3 + 0 + 3 + 2 + 3 + 2 + 3 + 1) = 0 + 15 + 17 = 32 = 4 odd days = Thursday
Q. 2
What was the day of the week on 26th January 2012?
(A) Sunday
(B) Thursday
(C) Saturday
(C) Tuesday
Answer: (B) Thursday
Explanation: 2000 + ( 2 Leap Year + 9 Ordinary Year) + 26 days = 4 + 9 + 26 = 4 odd days = Thursday
Q. 3
If it was Saturday on the 10th November, 2018, what was the day of the week on 15th August, 2017?
(A) Monday
(B) Tuesday
(C) Friday
(D) Sunday
Answer: (B) Tuesday
Explanation: From 15th August 2017 to 15th August 2018 = 1 odd day
16 days of Aug + 30 days of September + 31 days of October + 15 days of November = 1 odd days
Total odd days = 1 + 1 = 2 odd days
Hence it is Tuesday
Q. 4
If it was Monday on 1st January 2018, what was the day of the week on 31st December 2018?
(A) Tuesday
(B) Sunday
(C) Friday
(D) Monday
Answer: (D) Monday
Explanation: For an Ordinary Year the first day and the last day of the year is the same.
Q. 5
It was Friday on 1st January 2016, what was the day of the week on 31st December 2016?
(A) Friday
(B) Monday
(C) Saturday
(D) Tuesday
Answer: (C) Saturday
Explanation: For an Ordinary Year the first and last day is the same. For a Leap Year, it is the next day.
Q. 6
The Next Leap Year having the same calendar as the year 2020 will be
(A) 2040
(B) 2048
(C) 2026
(D) 2037
Answer: (B) 2048
Explanation: Calendar of a Leap Year repeats itself after every 28 years.
Q. 7
Find the mirror image of the clock when the time is 03:46.
(A) 09:46
(B) 06:46
(C) 09:14
(D) 08:14
Answer: (D) 08:14
Explanation: (11.60 – 03:46) = 08:14
Q. 8
Find the mirror image of the clock when the time is 12:40.
(A) 11:20
(B) 06:40
(C) 06:20
(D) 09:40
Answer: (A) 11:20
Explanation: (23:60 – 12:40) = 11:20
Q. 9
At what time between 2 o’clock and 3 o’clock, will the minute hand and hour hand of the clock be exactly opposite to each other?
(A) 2 : 43(9/11)
(B) 2 : 43(7/11)
(C) 2 : 41(7/11)
(D) 2 : 41(9/11)
Answer: (B) 2 : 43(7/11)
Explanation: M = (2/11)*(2*30 + 180) = 480/11 = 43(7/11)
Q. 10
At what time between 12 o’clock and 1 o’clock will the minute hand and hour hand of the clock make right angles?
(A) 12 : 47(1/11)
(B) 12 : 49(1/11)
(C) 12 : 45(1/11)
(D) 12 : 43(1/11)
Answer: (B) 12 : 49(1/11)
Explanation: M= (2/11) * (12 *30 – 90) = 49(1/11)
Q. 11
At what time between 4 o’clock and 5 o’clock, will the hour and minute hands of the clock coincide?
(A) 4 : 21(9/11)
(B) 4 : 21(8/11)
(C) 4 : 23(9/11)
(D) 4 : 19(9/11)
Answer: (A) 4 : 21(9/11)
Explanation: M = (2/11) (4*30) = 240/11 = 21(9/11)
Q. 12
The calendar of 1990 is the same as which of the following year calendar?
(A) 1996
(B) 1995
(C) 1992
(D) 1994
Answer: (A) 1996
Explanation: No. of odd days in 1990 =1; No. of odd day in 1991 = 1; No. of odd days in 1992 =2(L.Y); No. of odd day in 1995 = 1 day
Total no. of odd days = (1 + 1 + 2 + 1 + 1 + 1) = 7 days = 0 odd days
Hence, the year is 1996
Q. 13
How much angle will the hour hand rotate from 7 o’clock to 9 o’clock?
(A) 60°
(B) 30°
(C) 55°
(D) 45°
Answer: (A) 60°
Explanation: N/A
Q. 14
Find the angle of the clock when the time is 10:40?
(A) 90°
(B) 80°
(C) 60°
(D) 100°
Answer: (B) 80°
Explanation: N/A
Q. 15
Which of the following years is Leap year?
(A) 1800
(B) 1600
(C) 1500
(D) 2018
Answer: (B) 1600
Explanation: N/a
Q. 16
It is Thursday today. What day will it be after 45 days?
(A) Wednesday
(B) Tuesday
(C) Monday
(D) Sunday
Answer: (D) Sunday
Explanation: N/A
Q. 17
By how many degrees does the minute hand move at the same time, in which the hour hand move by 32°?
(A) 380°
(B) 384°
(C) 16°
(D) 360°
Answer: (B) 384°
Explanation: N/A
Q. 18
How many degrees will the minute hand move, at the same time in which the second hand move 480°?
(A) 8°
(B) 6°
(C) 12°
(D) 15°
Answer: (A) 8°
Explanation: N/A
Q. 19
The last day of the century cannot be
(A) Sunday
(B) Monday
(C) Friday
(D) Tuesday
Answer: (D) Tuesday
Explanation: 100 years = 5 odd days = Friday
200 years =3 odd days = Wednesday
300 years = 1 odd day = Monday
400 years = 0 odd day = Sunday
This cycle repeats…So the last day of a century can be Friday, Wednesday, Monday and Sunday.
Q. 20
At what time between 3 and 4 o’clock, the hands make an angle of 10°?
(A) 3 : 18(1/11)
(B) 3 : 14(6/11)
(C) Both (A) and (B)
(D) Never
Answer: (C) Both (A) and (B)
Explanation: M = (2/11) * (3 * 30 ± 10) = 200/11 and 160/11 = 18(1/11) and 14(6/11)
Q. 21
At what time between 12 o’clock and 1 o’clock, will the hands of a clock be coincide?
(A) 16(4/11) minutes past 12
(B) 10(10/11) minutes past 12
(C) 5(5/11) minutes past 12
(D) Never Coincide
Answer: (D) Never coincide
Explanation: The hands of a clock never coincide between 12 o’clock and 1 o’clock.
Q. 22
At what time between 7 o’clock and 8 o’clock, will the minute hand and the hour hand of a clock be exactly opposite to each other?
(A) 7 : 6(5/11)
(B) 7 : 5(9/11)
(C) 7 : 5(5/11)
(D) 7 : 5(7/11)
Answer: (C) 7 : 5(5/11)
Explanation: M = (2/11) * (7 * 30 – 180) = 60/11 = 5(5/11)
Q. 23
How many times will the hour hand and the minute hand of a clock make a right angle between 5 o’clock and 6 o’clock?
(A) Never
(B) 1 time
(C) 2 times
(D) 3 times
Answer: (C) 2 times
Explanation: M = (2/11) * (5 * 30 ± 90) and (2/11) = 480/11 and 120/11
Hence two times
Q. 24
Find the water image of the clock when the time is 6:40.
(A) 11 : 50
(B) 5 : 10
(C) 11 : 40
(D) 6 : 20
Answer: (A) 11 : 50
Explanation: 18:30 – 6:40 = 11:50