Practice Set on Clocks for CAT
1. Kushal put his timepiece on the table in such a way that at 6 p.m. hour-hand points to North. In which direction the minute-hand will point at 9:15 p.m.?
a) South-East
b) South
c) North
d) west
2. What is the angle between the minute hand and the hour hand when the time is 1:40 PM?
a) 120
b) 170
c) 110
d) 130
3. A watch gain 5 seconds in 3 minutes and was set right at 7 PM. What time will it show at 9 AM on the same day?
a) 09 : 23 : 20 AM
b) 09 : 13 : 40 AM
c) 09 : 16 : 30 AM
d) None of these
4. At how many points between 12 O'clock and 1 O'clock are the minute hand and hour hand of a clock at an angle of 30 degrees to each other?
a) 2
b) 4
c) 1
d) 3
6. What are the possible times when a clock shows 35° angle between two hands between 4 p.m. and 5 p.m.?
a) 20 min 25 sec.
b) 25 min 20 sec.
c) 28 min 10 sec.
d) None of these
7. What will be the angle between the minute hand and the hour hand at 20:30 hour in an astronomical clock which has 24 divisions instead of 12 standard divisions?
a) 75
b) 142.5
c) 127.5
d) 162.5
8. A clock is set right at 10 AM. The clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 3 PM the following day?
a) 2 : 45 PM
b) 2 : 48 PM
c) 2 : 49 PM
d) None of these
9. An accurate clock shows 10 o'clock in the evening. Through how may degrees will the hour hand rotate when the clock shows 4 o'clock in the morning?
a) 1440
b) 1500
c) 1680
d) 1800
10. How many times are the hands of a clock at right angle from 5 A: M to 11 P: M?
a) 22
b) 24
c) 44
d) 33
Answers:
In this section, we will provide you the solutions to the above questions along with their explanation.
Ques 1 |
Ques 2 |
Ques 3 |
Ques 4 |
Ques 5 |
Ques 6 |
Ques 7 |
Ques 8 |
Ques 9 |
Ques 10 |
---|---|---|---|---|---|---|---|---|---|
d |
d |
a |
c |
b |
c |
c |
b |
d |
d |
Explanation (1):
The clock is placed such that west is at 3, north is at 6, east is at 9 and south is at 12. So, at 9:15 the minute hand will point to West direction.
Explanation (2):
The total angle made by the minute hand during an hour is 360^{o}. If it takes 360^{o} for an hour, it will take (40/60) * 360 = 240^{o}. The angle between the hour hand the minute hand will therefore, be somewhere between 240 - 90 = 150^{o}, as the hour hand is between 1 and 2. The angle made by the hour hand when it moves from say 1 to 2 will be 30^{o}. That is the hour hand makes 30^{o} during the course of an hour.
The hour hand will therefore, move (40/60) * 30 = 20^{o}.
Therefore, the net angle between the hour hand and the minute hand will be 150 - 20 = 130^{o}.
Explanation (3):
The watch gains 5 seconds in 3 minutes = 100 seconds in 1 hour.
From 7 PM to 9 PM on the same day, time passed is 14 hours.
In 14 hours, the watch would have gained 1400 seconds or 23 minutes 20 seconds.
So, when the correct time is 9 AM, the watch would show 09: 23: 20 AM
Explanation (4):
Between 12 and 1, the minute hand and hour hand are at an angle of 30^{o} to each at around 12:06 PM and the next time they will be at angle of 30^{o} to each other will be at 1 PM.
For practicing more exercises on Logical/Analytical Reasoning keep visiting jagranjosh.com