100+ How to Solve Clock and Calendar Questions - 23
Question: 1
A clock takes 9 seconds to strike 4 times. In order to strike 12 times at the same rate, the time taken is
(A) 27 seconds
(B) 29 seconds
(C) 33 seconds
(D) 36 seconds
Ans: C
There are 3 intervals when the clock strikes 4
Time taken in 3 intervals = 9 seconds
∴ Time taken for 1 interval = 3 seconds
In order to strike 12, there are 11 intervals,
for which the time taken is 11 x 3 seconds = 33 seconds.
Question: 2
Number of times 29th day of the month occurs in 400 consecutive year is
(A) 4400
(B) 4497
(C) 4800
(D) 4600
Ans: B
400 consecutive years contain 97 leap years.
∴ In 400 consecutive years February has 29 days 97 times and the remaining 11 months have 29th day 400 x 11 = 4400 times
∴ 29th day of the month occurs 4400 + 97 = 4497 times.
Question: 3
Monday falls on 20th March, 1995. What was the day of 3rd November, 1994?
(A) Sunday
(B) Tuesday
(C) Thursday
(D) Friday
Ans: C
Number of days after 3rd November, 1994 will be
Nov. Dec. Jan. Feb. March
27 + 31 + 31 + 28 + 20 = 137 days ⇒ 19 weeks + 4 days
∴ Number of odd days = 4.
∴ The day on 3rd November, 1994 is (7 – 4) days beyond the day on 20th March, 1995. So, the required day is Thursday.
Question: 4
What was the day of the week on 28th February, 1995?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
Ans: B
1600 years contain 0 odd day.
300 years contain 1 odd day.
94 years = (23 leap years + 71 ordinary years)
= (46 + 71) odd days
= 117 odd days, i.e., 5odd days.
Days from 1st January 1995 to 28th February 1995
= (31 + 28) days = 59 days
= ( 8weeks + 3 days) = 3 odd days
Total number of odd days = (0 + 1 + 5 + 3) = 9 odd days
i.e., 2 odd days.
So, the required day is Tuesday.
Question: 5
January 1, 1992 was Wednesday. What day of the week was January 1, 1993?
(A) Monday
(B) Tuesday
(C) Thursday
(D) Friday
Ans: D
1992 was a leap year.
Hence it had 2 odd days.
So, the first day of the year 1993 must be two days after Wednesday.
So, it was Friday.
Question: 1
In an ordinary year ‘March’ begin on the same day of the week
(A) February; November
(B) January; November
(C) February; October
(D) January; September
Ans: A
In an ordinary year, February has no odd day.
∴ February and March begin on same day of the week.
Also, we know that, November and March begin on same day of the week.
Question: 2
My watch was 3 minutes slow at 5 pm on Tuesday and it was 5 minutes fast at 11 pm on Wednesday. When did it give correct time?
(A) Wednesday 4.15 a.m.
(B) Wednesday 7.30. a.m.
(C) Tuesday 3.45 a.m.
(D) None of these
Ans: A
Time from 5 pm Tuesday to 11 pm Wednesday = 30 hours
Clock gains 8 minutes in 30 hours
It gains 3 minutes in
∴ Correct time is 11 hours 15 minutes after 5 pm = 4.15 am on Wednesday.
Question: 3
Number of times the hands of a clock are in a straight line everyday is
(A) 22
(B) 24
(C) 42
(D) 44
Ans: D
We know that any relative position of the hands of a clock is repeated 11 times in every 12 hours.
∴ In every 12 hours, hands coincide 11 times and are opposite to each other 11 times.
∴ In every 24 hours hands are in a straight line 44 times.
Question: 4
Today is 1st April. The day of the week is Wednesday. The day of the week on this day after 3 years will be
(A) Saturday
(B) Sunday
(C) Friday
(D) Tuesday
Ans: A
This being a leap year, so, none of the next 3 years be a leap year.
So, the day of the week will be 3 days beyond Wednesday.
∴ The day after 3 years will be Saturday.
Question: 5
The first republic day of India was celebrated on 26th January, 1950. It was
(A) Monday
(B) Tuesday
(C) Thursday
(D) Friday
Ans: C
1600 years have 0 odd day.
300 year have 01 odd day.
49 years = (12 leap years + 37 years)
= (24 + 37) odd days
= 61 odd day = 05 odd days
1st January to 26th January = 26 days
= 3 weeks + 5 days
= 05 odd days.
Total number of odd days = (01 + 05 + 05) = 11
= 04 odd days.
So, it was Thursday.
Question: 1
If a clock takes 22 seconds to strike 12, how much time will it take to strike 6?
(A) 10 seconds
(B) 12 seconds
(C) 14 seconds
(D) 16 seconds
Ans: A
In order to hear 12 strikes, there are 11 intervals (12 - 1) and time of each interval is uniform.
Hence, time to hear each strike is
Now, to hear six strikes, there are 6 - 1, i.e., 5 × 2 = 10 seconds.
Hence, it will take 10 seconds for a clock to strike 6.
Question: 2
How often are the hands of a clock at right angle everyday?
(A) 38 times
(B) 40 times
(C) 44 times
(D) 48 times
Ans: C
In every hour there are two positions in which hands are at right angle. Each of these positions is repeated 11 times in every 12 hours.
∴ In every 12 hours, hands are at right angles 11 + 11 = 22 times and in a day hands are at right angles 22 + 22 = 44 times.
Question: 3
On 8th February, 1995 it was Wednesday. The day of the week on 8th February 1994 was
(A) Tuesday
(B) Wednesday
(C) Thursday
(D) Monday
Ans: A
1994 was an ordinary year, so it had 1 odd day. So, the day on 8th February, 1995 is one day beyond the day on 8th February, 1994.
But, 8th February 1995 was Wednesday.
∴ 8th February, 1994 was Tuesday.
Question: 4
India got independence on August 15, 1947. What was the day of the week?
(A) Monday
(B) Friday
(C) Thursday
(D) Sunday
Ans: B
Auguts 15, 1947 = (1600 + 300 + 46) years + January 1 to August 15th of 1947
= (1600 + 300 + 46) years + 365 - August 16 to December 31 1947
= (1600 + 300 + 46) years + (365 - 138) days
Number of odd days = 0 + 1 + 1 (from 11 leap years and 35 ordinary years) + 3 = 5 odd days.
∴ The day was Friday.Question: 5
At what time between 4.30 and 5 will the hands of a clock be in a straight line?
(A) 42 minutes. past 4
(B) 46 minutes. past 4
(C) 50 minutes. past 4
(D)
Ans: D
At 4’o clock hands are 20 minutes spaces apart.
At time between 4.30 and 5 the hands will be in straight line when they point in opposite directions and there is a space of 30 minutes between them.
So, to be in this position minute hand has to gain 30 + 20 = 50 minutes spaces.
Minute hand gains, 50 minutes in
∴ Required time =
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