An accurate clock shows the time as 3.00. After hour hand has moved 135, the time would be

examrobotsa's picture
Q: 145 (IAS/1998)
An accurate clock shows the time as
3.00. After hour hand has moved 135°, the time would be

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,13,7,13,2,5,0

keywords: 

{'accurate clock': [0, 2, 0, 0], 'hour hand': [0, 0, 1, 1], 'time': [2, 6, 15, 23]}

To determine the time after the hour hand has moved 135°, we need to calculate the angle covered by the hour hand per hour.

In a standard clock, the hour hand completes a full circle (360°) in 12 hours. So, the hour hand covers 360°/12 = 30° per hour.

Given that the hour hand has moved 135°, we can divide this angle by the angle covered per hour to find the number of hours that have passed.

135° / 30° = 4.5 hours

Adding this time to the initial time of 3.00, we get:

3.00 + 4.5 hours = 7.30

Therefore, the time after the hour hand has moved 135° is 7.30.

So, the correct option is A) 7.30.