Clocks- Aptitude Questions and Answers

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A clock is started at 6 O' clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 11 O' clock in the morning ?

A)
140°

B)
180°

C)
150°

D)
160°


Correct Answer :

150°


Explanation :

From 6 to 11, there are 5 hours.
Angle traced by the hour hand in 6 hours = 5*(360/12) = 150°

Or

The angle traced of the hour hand = 0.5 * (60*H + M)°
Angle traced by the hour hand in 5 hour = 0.5 * (60*5 + 0)= 150°

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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)
144o

B)
150o

C)
168o

D)
180o


Correct Answer :

180o


Explanation :

As given the hour hand going from 8 clock in the morning to 2 clock in the afternoon is equal to 6 hours of passed time.

The clock is a circle.that mean it contains 360 degrees. These 360 degrees are broken down into the 12 hours of the day.
This means there are (360 / 12) = 30 degrees in an hour.
Since 6 hours pass in the question, hence multiply (30 x 6) = 180 degrees

How many times are the hands of a clock at right angles in a day?

A)
22

B)
44

C)
24

D)
48


Correct Answer :

44


Explanation :

In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.

What will be the angle between the hands of a clock at 3:30 O’clock?

A)
90o

B)
75o

C)
135o

D)
60o


Correct Answer :

75o


Explanation :

The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute.

The angle traced of the hour hand = 0.5 * (60*H + M)°
Angle traced by the hour hand in 3 hour = 0.5 * (60*3 + 30)= 105°

The angle of the minute hand = 6°*M
Angle traced by the minute hand in 30 mins = 6°* 30 = 180°

The angle between the hands= |Angle of hour hand - Angle of minute hand|
Required angle, |105 - 180|° = 75°.

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