How to Solve Clocks Question Quickly
How to Solve Quickly Clocks & Definitions
A clock is a complete circle having an angle of 360 degrees. This circle is further divided into 12 equal parts each part having 360/12 = 300. The minute hand takes one complete round in one hour covering an angle of 3600 in 60 minutes.
- The dial of the clock is circular in shape and is divided into 60 equal minute spaces.
- 60-minute spaces traces an angle of 3600. Therefore, one minute space traverses an angle of 600.
- Hands of a clock are in straight line and are opposite to one another when they are 30 minutes space apart.
- The complete clock circle has been divided into 12 equal bigger units also, which we call as hours. This further implies that every hour space covers a total of 360/12 = 30 degrees.
- Read Also – Formulas to solve clocks questions

Type 1: How To Solve Quickly Clocks
Ques 1.
Calculate the angle between the two hands of a clock when the time shown by the clock is 7: 30 a.m.
Options:
A. 1000
B. 1550
C.2000
D. None of the above
Solution
From the formula
Angle = 11/2M – 30H, where M =30, and H =7
= 11/2*30 – 30 x 7
= |165 – 210|, taking the mode of the values, we get
= 1550
Correct Answer: Option B
Ques 2.
Calculate the degree at which the hour hand moves when the minute’s hand moves 750 times.
Options:
A. 130
B. 12*(3/6)°
C. 15(3/6)°
D. Cannot be determined
Solution:
Degrees covered by hour hand in one minute = 1/60
The minute hand will cover 750/60 degrees in 650 minutes.
This can be written as = 12 (3/6)° degrees.
Correct Answer: Option B
Ques 3.
What is the angle an hour hand has to trace when it covers the time from 8 A.M in the morning to 2 o’clock in the afternoon?
Options
A. 120
B.180
C.250
D. None of the above
Solution:
Time between 8 A.M to 2 P.M = 6 hours.
Therefore, the angle traced by the hour hand = 360/12 x 6
= 1800
Correct Answer: Option B
Type 2: Solve Quickly Clocks Ques.
Ques 1.
Determine the time at which the minute and the hour hand will be in the same straight line facing opposite directions between 2 and 3 o’clock.
Options:
A. 2:43(7/11) P.M.
B. 2:45 P.M.
C.2:50(1/13) P.M.
D. None of the above
Solution:
Degrees in a straight line = 1800
When we apply the formula, 11/2M – 30H
= (180+60)/2 = 11M
Or, M =43(7/11)
Correct Answer: Option A
Ques 2.
A clock is set to correct timing at 8 a.m. In the next 24 hours, it gains 10 minutes. What will be the true time when the clock displays time to be 1 P.M?
Options
A. 12: 48 P.M
B. 2:50 P.M.
C. 1: 30 A.M.
D. Cannot Be Determined
Solution:
Number of hours from 8 A.M on a day to 1 P.M the next day = 29
24 hours 10 minutes of this clock = 24 hours of a correct clock
145/6 hours of this incorrect clock = 24 hours of the correct clock
29 hours of incorrect clock = 24 x 6/145 x 29 hours of the correct clock
= 28 hours and 48 minutes of the correct clock
Therefore, the correct time is 28 hours and 48 minutes after 8 A.M
Which means, the true time will be 12:48 P.M.
Correct Answer: Option A
Ques 3.
What is the time between 4 and 5 o’clock, when the hands of the watch points in the opposite direction?
Options
A. 4:54 o’clock
B. 5 o’clock
C. 10 o’clock
D. Cannot be Determined
Solution:
Hands of the clock are 20 min. spaces apart when the time is 4 o’clock
They must be 30 min. Spaces apart to be in opposite directions.
Minute hand needs to gain 50 min. spaces
A clock gains 55 min. spaces in 60 minutes
50 min spaces are gained in
= 60/55 x 50 minutes
= 54(6/11)
The needed time = 54(6/11) past 4, or
= 4: 54
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