An accurate clock shows 8 Oclock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 Oclock in the afternoon ?

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Submitted by examrobotsa on

Q: 130 (IAS/2000)
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 ?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,20,7,3,1,3,20

keywords: 

{'hour hand rotate': [0, 1, 0, 1], 'accurate clock': [0, 2, 0, 0], 'afternoon': [0, 1, 1, 0], 'clock': [0, 1, 2, 0], 'many degrees': [0, 1, 0, 2], 'morning': [0, 2, 1, 4]}

To calculate the degree of rotation of the hour hand between 8 o`clock in the morning and 2 o`clock in the afternoon, we need to determine the elapsed time.

From 8 o`clock in the morning to 2 o`clock in the afternoon, a total of 6 hours have passed.

In a 12-hour clock, the hour hand completes a full rotation of 360 degrees in 12 hours, which means it rotates 30 degrees per hour (360 degrees / 12 hours).

Therefore, in 6 hours, the hour hand will rotate:

Degree of rotation = (Number of hours) x (Degrees per hour)

= 6 hours x 30 degrees/hour

= 180 degrees

So, the hour hand will rotate 180 degrees between 8 o`clock in the morning and 2 o`clock in the afternoon. The correct answer is option D.