Problem on Clocks - Level 1 Questions
1) The
Bhavnagar Express departs from Kakinada at 5:00 a.m. on Thursday and arrives in
Pune at 2: 30 a.m. the next day. What is the duration of the journey?
a)18
hours 30 minutes b)23 hours
c)21
hours 30 minutes d)19 hours 30 minutes
Answer : A
Explanation :
Departure time:
5:00 a.m.
Arrival time:
2:30 a.m. the next day
Therefore, the
journey duration is from 5:00 a.m. to 2:30 a.m. the next day.
Duration = (24
hours - Departure time) + Arrival time
= (24 hours -
5:00 a.m.) + 2:30 a.m.
= 19 hours + 2:30
hours
= 21 hours and 30
minutes
2)
The IndianAir SE456 flight departs from Chennai at 11:45 a.m. on Saturday and
arrives in Istanbul at 3:15 a.m. the next day. What is the duration of the
flight?
a)
14 hours 30 minutes b) 12 hours 30
minutes c) 15 hours d) 15 hours 30 minutes
Answer: D
Explanation:
Departure time
from Chennai: 11:15 a.m.
Arrival time in
Istanbul: 3:15 a.m. the next day
Therefore, the
flight duration is from 11:45 a.m. to 3:15 a.m. the next day.
Duration = (24
hours - Departure time) + Arrival time
= (24 hours -
11:45 a.m.) + 3:15 a.m.
= 12 hours and 15
minutes + 3:15 hours
= 15 hours and 30
minutes
3) Tokyo
time is 3 hours 30 minutes ahead of India time. If it is 1:35 a.m. on Monday in
Tokyo, what time is it in India?
A)
11:15 p.m Sunday B) 12:15 a.m Monday C) 10:05 a.m Sunday D) 5:05 a.m Monday
Answer : C
Explanation:
Tokyo time is 3
hours 30 minutes ahead of India time.
Time in Tokyo =
1:35 a.m Monday
Then the time in
India = (1:35 - 3 hours 30 minutes)
= 10:05 p.m
Sunday
4) Toronto time is 9 hours and
30 minutes behind India time. If it is 8:45 p.m. on Thursday in Toronto, what
time is it in India?
A) 5:15 a.m. Friday B) 11:15
a.m. Thursday
C) 6:15 a.m. Friday D) 3:45
a.m. Thursday
Answer: C
Explanation:
Toronto time is 9 hours and 30 minutes
behind India time. Then India time is 9 hours 30 minutes ahead of Toronto time.
Time in Toronto = 8:45 p.m. Thursday
Then the time in India = (8:45 + 9 hours 30
minutes)
= 6:15 a.m. Friday
5)
Find the total number of full rotations the hour hand will complete in 72
hours.
A)
6 B) 5 C) 8 D) 10
Answer: A
Explanation:
The hour hand
completes one full rotation in 12 hours.
Therefore, in 72
hours, the hour hand will complete = 72/12 = 6 full rotations.
6)
The ratio of the velocities of the hour hand and the minute hand of a clock is
(S.S.C.
(C.G.L.E) Previous Questions)
A)
1:1 B) 5:1 C) 1:12 D) 12:1
Answer: C
Explanation:
In one hour, the
hour hand covers 5-minute spaces, while the minute hand covers 60-minute
spaces.
The equivalent
ratio is 5:60, which simplifies to 1:12.
Therefore, the
ratio of velocities of the hour hand and the minute hand is 1:12
7) How many times do the
hands of the clock form a right angle every day?
a) 11 times b) 22 times c) 44
times d) 55 times
Answer: C
Explanation:
In each hour, there are two positions where
the minute hand and hour hand are at a right angle.
Each of these positions is repeated 22
times every 12 hours.
Therefore, in a day (24 hours), the two
hands are perpendicular to each other 22 + 22 = 44 times.
8) How
many instances will the angle between the minute hand and the hour hand be zero
degrees in 2 days?
A)
22 times B) 44 times C) 11 times D) 12 times
Answer: B
Explanation:
When the minute
and hour hands coincide, the angle between them is zero degrees.
Within one hour, the
two hands coincide only once.
In 12 hours, the
two hands coincide 11 times (excluding the overlap between 11 O'clock and 1
O'clock, which happens only once at exactly 12 O'clock).
In 2 days or 48
hours, the two hands coincide a total of (4 x 11) = 44 times.
9). How
many instances do the hands of a clock align in a straight line each day?
a) 11
times b) 22 times c) 33 times d) 44 times
Answer: D
Explanation:
The
relative positions of the clock hands repeat 11 times every 12 hours.
In 12
hours, the hands coincide 11 times, and they are opposite each other 11 times.
Therefore,
every 12 hours, the hands will be in a straight line a total of 22 times.
In 24
hours, the hands will be in a straight line a total of 44 times
10). What is the angle made by
the minute hand in 25 minutes?
a) 150 b) 250 c)
300 d) 350
Answer: A
Explanation:
The angle made by the minute hand in 1 minute
is 6 degrees.
In 25 minutes, the angle made by the minute
hand is 25 x 6 = 150 degrees.
11) What is the angle made by
the hour hand in 45 minutes?
a) 90 b) 135 c) 112.5 d) 22.5
Answer: D
Explanation:
The angle made by the hour hand in 1 minute
is ½ or 0.5 degrees.
In 45 minutes, the angle made by the hour
hand is 45 x 0.5 = 22.5 degrees.
12) An accurate clock
indicates the time at 3:45 a.m. on a Sunday. Through how many degrees does the
hour hand rotate when the clock shows 9:15 p.m. on the same day?
A)360 B) 515 C) 210 D) 632
Answer: B
Explanation:
The time interval from 3:45 a.m. to 9:15
p.m. = 17.5 hours.
In one hour, the hour hand covers 30
degrees.
In 17.5 hours, the hour hand covers (17.5 x
30) = 210 degrees.
13) An accurate clock
displays the time as 10:30 a.m. What time will it be when the minute hand
rotates an angle of 1980 after 10:30 a.m.?
A) 3:20 p.m B) 2:40 p.m C)
4:00 p.m D) 3:45 p.m
Answer : C
Explanation:
Each minute, the minute hand covers an
angle of 6 degrees.
To cover an angle of 1980 degrees, the
minute hand will take 1980/6 = 330 minutes.
330 minutes = 5 hours and 30 minutes
Hence, the required time =
(10:30 a.m + 5 hours and 30 minutes) = 4
p.m.
14) By how many degrees does
a minute hand move from the time 9:45 a.m. to 10:23 a.m.?
A) 228 B) 180 C) 108 D) 120
Answer :A
Explanation:
The minute hand covers an angle of 60
degrees in 1 minute.
The time interval from 9:45 a.m. to 10:23
a.m. is 38 minutes.
In 38 minutes, the angle covered by the
minute hand is (38 x 60) = 228 degrees.
15) A clock loses 7 minutes
every hour. Find the angle traversed by the minute hand of the clock in 1 hour.
A) 360 B) 402 C) 164 D) 318
Answer : D
Explanation:
The given clock loses 7 minutes every hour.
It traverses 53-minute spaces in 1 hour.
1 minute space equals 60.
Hence, in 1 hour, the minute hand of the
clock makes an angle of (53 x 60 ) = 318 degrees.
16)
A clock gains 8 minutes per hour. What is the angle covered by the second hand
in one minute?
A)
4320 B) 4080 C) 3600 D) 3120
Answer: B
Explanation:
In one minute, the second-hand moves across 60 spaces.
The clock's
minute hand gains 8 minutes each hour.
As a result, the
second hand of the clock also gains 8 seconds every minute.
In one minute of
this clock, the second-hand covers 682-minute spaces.
1 minute space =
60
Hence, the angle
covered by the second hand = (68 x 60)
= 4080.
17) A clock striking 5 takes
16 seconds. To strike 10 at the same rate, the time taken is:
a) 24 seconds b) 30 seconds
c) 36 seconds d) 32 seconds .
Answer: C
Explanation:
There are 4 intervals when the clock
strikes 5.
Time taken in 4 intervals = 16 seconds
∴
Time taken for 1 interval = 4 seconds
To strike 10, there are 9 intervals, for
which the time taken is 9 x 4 = 36 seconds.
18) If a clock takes 18
seconds to strike 10, how much time will it take to strike 6?
A) 7.5 seconds B) 11 seconds
C) 15 seconds D) 12 seconds
Answer: D
Explanation:
The clock strikes 10 times at 10.
In order to hear 10 strikes, there are 9
intervals (10 - 1), and the time of each interval is uniform.
For these 9 intervals, the clock is taking
18 seconds.
Hence, the time to hear each strike is 18/9
= 2 seconds.
Now, to hear 5 strikes, there are (6–1)
intervals, i.e., (5 x 2) = 8 seconds.
Hence, to strike 6, it will take 12
seconds.
19) A clock loses 12 seconds
every 20 minutes. By what percent does it become slow in a day?
A) 1% B) 2% C) 3% D) 4%
Answer : A
Explanation:
The clock loses 12 seconds every 20
minutes.
The clock loses 36 seconds every 1 hour.
In a day of 24 hours, the clock loses (24 x
36) = 864 seconds.
1 day = 24 x 60 = 1440 minutes
1 minute = 60 seconds, so 864 seconds is
equivalent to 14.4 minutes.
Required percentage = (14.4 / 1440 minutes)
* 100% ≈ 1%.
Therefore, the timer becomes slow by
approximately 1% in a day.
20) The clock's reflection in
the mirror shows 7:32. Determine the actual time.
A) 3:28 B) 4:28 C) 3:48 D)
4:32
Answer : A
Explanation:
The time in the mirror reflection is 7:32.
Actual time = (12:00 - Time in the mirror)
=> (12:00 - 7:32) = 4:28.
Therefore, the actual time is 4:28.
21) The time shown by the
reflection of a clock in a mirror is 4 hours 25 minutes. What is the actual
time on the clock?
A) 3:25 B) 7:35 C) 6:35 D)
None
Answer: B
Explanation:
The time in the mirror reflection is 4: 25.
Actual time = (12:00 - Time in the mirror)
=> (12:00 – 4:25) = 7:35.
Therefore, the actual time is 7:35.