A clock is started at noon. By 10 minutes past 5

Question

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
E. 175º

tbhauer · Answer

degrees rotated = portion of clock the hour hand has rotated *360 degrees
 = 5 and 1/6 hours/12 hours *360 degrees
 = 0.431 * 360 = 155 degrees
Ans = C

satya2029 · Answer

180 minutes-90 degree
1 Minute-1/2 degree
310 minutes-310/2
=155 degree
C:)

GMATinsight · Answer

CONCEPT   
- Hour hand moves by  \frac{1º}{2}  in one minute
- Minute hand moves by  6º  in one minute
- The change of angle between the minute hand and hour hand in 1 minute  = 6-\frac{1}{2} = \frac{11}{2}

Movement of hour hand in 5 hours = 30º*5 = 150º
Movement of hour hand in 10 Minutes = (1/2)º*10 = 5º

Total Movement in 5 hour and 10 minutes = 150+5 = 155º

Answer: Option C

nkme2007 · Answer

For each hour, the hour hand moves 1/30 degrees.
For 5 hours, it moves 5/12*360 = 150 degrees.
For 10 minutes, it moves 10/60 * 30 degrees = 5 degrees

Do, total angle moved by hour hand = 155 degrees

OA: C

A clock is started at noon. By 10 minutes past 5

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A clock is started at noon. By 10 minutes past 5

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