3. CLOCKS
Minute Spaces:
The face or dial of watch is a circle whose circumference is divided into 60 equal parts, called
minute spaces.
Hour Hand and Minute Hand:
A clock has two hands, the smaller one is called the hour hand or short hand while the larger
one is called minute hand or long hand.
4. CLOCKS
1. In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.
2. In every hour, both the hands coincide once.
3. The hands are in the same straight line when they are coincident or opposite to each other.
4. When the two hands are at right angles, they are 15 minute spaces apart.
5. When the hands are in opposite directions, they are 30 minute spaces apart.
6. Angle traced by hour hand in 12 hrs = 360°,in 1 hour= 30° ,1min=1/2°
7. Angle traced by minute hand in 60 min. = 360°, in 1 minute =6 degree
8. If a watch or a clock indicates 8.15, when the correct time is 8, it is said to be 15 minutes
too fast.
On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes
too slow.
9. ∅ = 30𝐻 −
11
2
𝑀 (APART)
5. An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate
when the clock shows 2 o'clock in the afternoon?
A. 144°
B. 150°
C. 168°
D. 180°
Question: Q01
Answer : D
6. The reflex angle between the hands of a clock at 10.25 is:
A. 180°
B. 195°
C. 197 (½)0
D. 1990
Question: Q02
Answer : C
7. A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A. 145°
B. 150°
C. 155°
D. 160°
Question: Q03
Answer : C
8. A watch, which gains uniformly, is 2 min, slow at noon on Sunday, and is 4 min 48 seconds fast at 2 PM
on the following Sunday when was it correct?
A. 2:00 PM on Tuesday
B. 12 noon on Monday
C. 2:00 AM on Tuesday
D. None of these
Question: Q04
Answer : A
9. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
A. 0°
B. 10°
C. 5°
D. 20°
Question: Q05
Answer : B
10. A watch which gains uniformly is 6 min slow at 5 p.m. on Monday. On the following Monday at 9 am, it
was 10 min 40 seconds fast. When was it correct?
A. 8 : 36 pm. on Thursday
B. 2 : 36 am on Thursday
C. 2 : 36 pm. on Thursday
D. 8 : 36 am on Thursday
Question: Q06
Answer : B
11. At what angle are the hands of a clock inclined at 30 minutes past 8?
A. 95°
B. 75°
C. 92°
D. 97.5°
Question: Q07
Answer : B
12. How many times are the hands of a clock at right angles in a span of twenty four hours?
A. 48 times
B. 44 times
C. 46 times
D. 22 times
Question: Q08
Answer : B
13. How many times in a span of 24 hours are the hands of a clock straight (that is either overlap or exactly
opposite to each other) ?
A. 43 times
B. 46 times
C. 45 times
D. 44 times
Question: Q09
Answer : D
14. Find at what time between 7 o’clock and 8 o’clock will the hands of a clock be in the same straight line but
not overlap each other.
A. 10(9/11) min past 8
B. 5(5/11) min past 7
C. 10(8/11) min past 8
D. 10(7/11) min past 8
Question: Q10
Answer : B
15. Question: Q11
Answer : B
When the hands of a clock show 4 o’clock, the angle between them is
A. 100°
B. 120°
C. 130°
D. 150°
16. Question: Q12
Answer : B
In one and half hours, the minute hand of a clock rotates through an angle of
A. 720°
B. 540°
C. 600°
D. 420°
17. Question: Q13
Answer : A
A clock is set right at 10 a.m. on Monday. The clock loses 15 min. in 24 hrs. What will be the
true time when the clock indicates 4 am on the following Saturday?
A. 5:12 am
B. 5:32 am
C. 6:32 am
D. 5:48 am
18. Question: Q14
Answer : A
When the time is 5:40, then what is the angle b/w the hour hand & the minute hand of a clock?
A. 70°
B. 60°
C. 74°
D. 80°
19. Question: Q15
Answer : A
At what time between 2 and 3 o’clock will the hands of a clock be together?
A. 10(10/11)min. past 2
B. 10 min. past 2
C. 20(10/11)min. past 2
D. 12 min. past 2
