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16 Sep 2014, 01:15
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Between 10:06 and 12:30 the hour hand of the clock turns by
A. 66 degrees
B. 70 degrees
C. 72 degrees
D. 75 degrees
E. 78 degrees
A. 66 degrees
B. 70 degrees
C. 72 degrees
D. 75 degrees
E. 78 degrees
16 Sep 2014, 01:15
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Official Solution:
Between 10:06 and 12:30 the hour hand of the clock turns by
A. 66 degrees
B. 70 degrees
C. 72 degrees
D. 75 degrees
E. 78 degrees
In one hour an hour hand turns by \(\frac{360^{\circ}}{12}=30^{\circ}\).
Since the difference between 10:06 and 12:30 is \(2\frac{2}{5}\) hours then in that time the hour hand of the clock turns by \(30^{\circ}*2\frac{2}{5}=72^{\circ}\).
Answer: C
Between 10:06 and 12:30 the hour hand of the clock turns by
A. 66 degrees
B. 70 degrees
C. 72 degrees
D. 75 degrees
E. 78 degrees
In one hour an hour hand turns by \(\frac{360^{\circ}}{12}=30^{\circ}\).
Since the difference between 10:06 and 12:30 is \(2\frac{2}{5}\) hours then in that time the hour hand of the clock turns by \(30^{\circ}*2\frac{2}{5}=72^{\circ}\).
Answer: C
21 Jan 2015, 09:06
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Hi Bunuel,
Thank you for responding. Yes I did read your solution and I find it very useful, as I said. Thank you.
The reason why I asked whether what I did was reasonable, was exactly because my response was 720 and NOT 72, which is the wrong response obiously, but there could be a connection as 720 is 10*72. I just wanted to see if there was a justification for that or not.
Because only the fact that I got 720, and not 660, 700 or any of the other values in the answer options, or any other random value for that matter, led me to respond C, which happens to be the right answer.. So, I wanted to understand my mistake.
Thank you for responding. Yes I did read your solution and I find it very useful, as I said. Thank you.
The reason why I asked whether what I did was reasonable, was exactly because my response was 720 and NOT 72, which is the wrong response obiously, but there could be a connection as 720 is 10*72. I just wanted to see if there was a justification for that or not.
Because only the fact that I got 720, and not 660, 700 or any of the other values in the answer options, or any other random value for that matter, led me to respond C, which happens to be the right answer.. So, I wanted to understand my mistake.
