# Aptitude - Clock

Exercise : Clock - General Questions
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?
144°
150°
168°
180°
Explanation:

 Angle traced by the hour hand in 6 hours = 360 x 6 ° = 180°. 12

2.
The reflex angle between the hands of a clock at 10.25 is:
180°
 192 1 ° 2
195°
 197 1 ° 2
Explanation:

 Angle traced by hour hand in 125 hrs = 360 x 125 ° = 312 1 ° . 12 12 12 2

 Angle traced by minute hand in 25 min = 360 x 25 ° = 150°. 60 Reflex angle = 360° - 312 1 - 150 ° = 360° - 162 1 ° = 197 1° . 2 2 2

3.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
145°
150°
155°
160°
Explanation:

Angle traced by hour hand in 12 hrs = 360°.

 Angle traced by hour hand in 5 hrs 10 min. i.e., 31 hrs = 360 x 31 ° = 155°. 6 12 6

4.
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
 59 7 min. past 3 12
4 p.m.
 58 7 min. past 3 11
 2 3 min. past 4 11
Explanation:

 Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37 hrs. 4

3 min. 5 sec. of this clock = 3 min. of the correct clock. 37 hrs of this clock = 1 hrs of the correct clock. 720 20 37 hrs of this clock = 1 x 720 x 37 hrs of the correct clock. 4 20 37 4

= 9 hrs of the correct clock. The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

5.
How much does a watch lose per day, if its hands coincide every 64 minutes?
 32 8 min. 11
 36 5 min. 11
90 min.
96 min.
 60 min. spaces are covered in 60 x 60 min. = 65 5 min. 55 11
 Loss in 64 min. = 65 5 - 64 = 16 min. 11 11
 Loss in 24 hrs = 16 x 1 x 24 x 60 min. = 32 8 min. 11 64 11