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# The number of degrees that the hour hand of a clock moves through betw

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Math Expert
Joined: 02 Sep 2009
Posts: 62458
The number of degrees that the hour hand of a clock moves through betw  [#permalink]

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14 May 2016, 02:56
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Difficulty:

25% (medium)

Question Stats:

79% (01:15) correct 21% (01:44) wrong based on 65 sessions

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The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is

A. 720
B. 180
C. 75
D. 65
E. 60

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Math Expert
Joined: 02 Aug 2009
Posts: 8300
Re: The number of degrees that the hour hand of a clock moves through betw  [#permalink]

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14 May 2016, 07:12
Bunuel wrote:
The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is

A. 720
B. 180
C. 75
D. 65
E. 60

12 hours complete a circle, making a 360 degree angle...
so each hour will move through $$\frac{360}{12} = 30$$degree
so 2 and $$\frac{1}{2}$$hour will move through $$2*30+\frac{1}{2}*30 = 60+15 =75$$

Ans C..

say you had 2 hours and 26 minutes...
then we would have taken minutes wise ..

60 minutes make a 360 angle which is equal to 360/12 = 30 for one hour...
As hour hand depends on minute hand too-
60 minutes make 30 on hour hand ..
1 min will make$$\frac{30}{60} = \frac{1}{2}$$ degree on minute hand...
26 min will make $$\frac{30}{60} * 26 = 13$$degree....
our answer would be$$2*30+13 = 73$$ degree....
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Re: The number of degrees that the hour hand of a clock moves through betw   [#permalink] 14 May 2016, 07:12
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# The number of degrees that the hour hand of a clock moves through betw

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