Clock

Clock

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Question 1
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
A
144º
B
150º
C
168º
D
180º
Question 1 Explanation: 
Angle traced by the hour hand in 6 hours =(360/12x 6)º = 180º.
Question 2
The reflex angle between the hands of a clock at 10.25 is: A. B. 192 1 º 2 C.
A
180º
B
(395/2)º
C
185º
D
190º
Question 2 Explanation: 
Angle traced by hour hand in 125/12hrs =(360/12)x(125/12)º = 625/2º. Angle traced by minute hand in 25 min = (360/60)x 25º= 150º. Reflex angle = 360º -((625/2)º- 150º) = 360º - (325/2)º= (395/2)º
Question 3
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A
145º
B
150º
C
155º
D
160º
Question 3 Explanation: 
Angle traced by hour hand in 12 hrs = 360º. Angle traced by hour hand in 5 hrs 10 min. i.e.,31/6hrs =(360/12) x(31/6) º= 155º.
Question 4
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
A
B
10º
C
D
20º
Question 4 Explanation: 
Angle traced by hour hand in 13hrs = (360/3)x(13/12)º= (130/3)º. Angle traced by min. hand in 20 min. = (360/60)x 20º = 120º. Required angle = (130 - 120)º = 10º.
Question 5
At 3:40, the hour hand and the minute hand of a clock form an angle of:
A
120°
B
125°
C
130°
D
135°
Question 5 Explanation: 
Angle traced by hour hand in 12 hrs. = 360°. Angle traced by it in 11/3hrs =(360/12)x(11/3)°= 110°. Angle traced by minute hand in 60 min. = 360°. Angle traced by it in 40 min. = (360/60)x 40)° = 240°. Required angle (240 - 110)° = 130°.
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