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# Between 12:24 and 14:36 the HOUR hand of a clock turns by

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CEO
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Between 12:24 and 14:36 the HOUR hand of a clock turns by [#permalink]

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02 Nov 2007, 09:03
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Between 12:24 and 14:36 the HOUR hand of a clock turns by how many degrees?

Between 12:24 and 14:36 the MINUTE hand of a clock turns by how many degrees?
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03 Nov 2007, 10:27
Between 12:24 and 14:36 the MINUTE hand of a clock turns by how many degrees?

degree per minute = 360/(60*12) = 1/2

2 houres and 12 minutes = 132

132*360/720 = 66

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03 Nov 2007, 10:45
KillerSquirrel wrote:
Between 12:24 and 14:36 the MINUTE hand of a clock turns by how many degrees?

degree per minute = 360/(60*12) = 1/2

2 houres and 12 minutes = 132

132*360/720 = 66

degree per minute = 360/(60*12) = 1/2

what is this 12 over here??
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03 Nov 2007, 10:56
sidbidus wrote:
KillerSquirrel wrote:
Between 12:24 and 14:36 the MINUTE hand of a clock turns by how many degrees?

degree per minute = 360/(60*12) = 1/2

2 houres and 12 minutes = 132

132*360/720 = 66

degree per minute = 360/(60*12) = 1/2

what is this 12 over here??

12 hours

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03 Nov 2007, 11:05
But for the minute hand why do you need hours???

For minute hand...

360 for 1hr or 60 minutes

=> degree/ minute = 360/60 = 6

Am I missing something???

I guess you were explaining for the hour hand
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03 Nov 2007, 11:19
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sidbidus wrote:
But for the minute hand why do you need hours???

For minute hand...

360 for 1hr or 60 minutes

=> degree/ minute = 360/60 = 6

Am I missing something???

I guess you were explaining for the hour hand

ask yourself - how many minutes are there in 12 hours (clock cycle) ?

60*12 = 720

and ask yourself - how many degrees are in one clock cycle (from 12 to 12) = 360

360/720 = 1/2 degree per minute.

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03 Nov 2007, 11:22
KillerSquirrel wrote:
sidbidus wrote:
But for the minute hand why do you need hours???

For minute hand...

360 for 1hr or 60 minutes

=> degree/ minute = 360/60 = 6

Am I missing something???

I guess you were explaining for the hour hand

ask yourself - how many minutes are there in 12 hours (clock cycle) ?

60*12 = 720

and ask yourself - how many degrees are in one clock cycle (from 12 to 12) = 360

360/720 = 1/2 degree per minute.

pretty well explained

KS, for the hour hand, are the minute and hour hands the same answer with 66 degrees?
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03 Nov 2007, 11:35
sidbidus wrote:
KillerSquirrel wrote:
sidbidus wrote:
But for the minute hand why do you need hours???

For minute hand...

360 for 1hr or 60 minutes

=> degree/ minute = 360/60 = 6

Am I missing something???

I guess you were explaining for the hour hand

ask yourself - how many minutes are there in 12 hours (clock cycle) ?

60*12 = 720

and ask yourself - how many degrees are in one clock cycle (from 12 to 12) = 360

360/720 = 1/2 degree per minute.

That's for the hour hand ur talking about........right??

See attachment

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untitled.GIF [ 4.06 KiB | Viewed 2816 times ]

VP
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03 Nov 2007, 11:57
beckee529 wrote:
KillerSquirrel wrote:
sidbidus wrote:
But for the minute hand why do you need hours???

For minute hand...

360 for 1hr or 60 minutes

=> degree/ minute = 360/60 = 6

Am I missing something???

I guess you were explaining for the hour hand

ask yourself - how many minutes are there in 12 hours (clock cycle) ?

60*12 = 720

and ask yourself - how many degrees are in one clock cycle (from 12 to 12) = 360

360/720 = 1/2 degree per minute.

pretty well explained

KS, for the hour hand, are the minute and hour hands the same answer with 66 degrees?

Yes the same for the hour hand.

360/12 = 30

30*(two hours and 1/5 of an hour) = 30*11/5 = 66

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03 Nov 2007, 12:00
KillerSquirrel wrote:
beckee529 wrote:
KillerSquirrel wrote:
sidbidus wrote:
But for the minute hand why do you need hours???

For minute hand...

360 for 1hr or 60 minutes

=> degree/ minute = 360/60 = 6

Am I missing something???

I guess you were explaining for the hour hand

ask yourself - how many minutes are there in 12 hours (clock cycle) ?

60*12 = 720

and ask yourself - how many degrees are in one clock cycle (from 12 to 12) = 360

360/720 = 1/2 degree per minute.

pretty well explained

KS, for the hour hand, are the minute and hour hands the same answer with 66 degrees?

Yes the same for the hour hand.

360/12 = 30

30*(two hours and 1/5 of an hour) = 30*11/5 = 66

good.. thats exactly how i solved
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03 Nov 2007, 21:21
6 degrees each minute
30 degrees each hour

solving for the hour hand,
it moved 2 hours and 12 minutes. 12 minutes is 1/5 of an hour or 1/5 of 30 degrees.

2* 30 + 1/5(30)
60+6
66

solving for minutes
the timeframe was 2 hours 12 minutes. we can disregard the 2 hours since it will be in the same position.

12*6 degrees each minute.
72 minutes
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03 Nov 2007, 21:54
bmwhype2 wrote:
6 degrees each minute
30 degrees each hour

solving for the hour hand,
it moved 2 hours and 12 minutes. 12 minutes is 1/5 of an hour or 1/5 of 30 degrees.

2* 30 + 1/5(30)
60+6
66

solving for minutes
the timeframe was 2 hours 12 minutes. we can disregard the 2 hours since it will be in the same position.

12*6 degrees each minute.
72 minutes

the red segment is wrong.

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03 Nov 2007, 22:10
KillerSquirrel wrote:
bmwhype2 wrote:
6 degrees each minute
30 degrees each hour

solving for the hour hand,
it moved 2 hours and 12 minutes. 12 minutes is 1/5 of an hour or 1/5 of 30 degrees.

2* 30 + 1/5(30)
60+6
66

solving for minutes
the timeframe was 2 hours 12 minutes. we can disregard the 2 hours since it will be in the same position.

12*6 degrees each minute.
72 minutes

the red segment is wrong.

what i mean is

360/60 divisions or minutes = 6 degrees
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03 Nov 2007, 23:17
The hours hand has a gain of 1/2 degree ever 1 minute.....
so for (36-24)min it has a 6 degree gain.

The minute hand gains 6 degree for every 1 minute.....
so for (36-24)minutes it gains 12*6=72 degrees
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03 Nov 2007, 23:24
bmwhype2 wrote:
Between 12:24 and 14:36 the HOUR hand of a clock turns by how many degrees?

Between 12:24 and 14:36 the MINUTE hand of a clock turns by how many degrees?

1 minute is 360/60 = 6 degree
So minute hand turned 36-24 = 12*6 = 72 degree

For hour hand, it is a bit tricky because the hour hand also move according to minute hand.

1 hour = 360/12 = 30 degree
At 12.24, the hour hand is at 24/60 * 30 = 12 degree from 12 pm
At 14.36, the hour hand is at 36/60 * 30 = 18 degree from 14 pm = 30+30+18 = 78 degree from 12 pm

Therefore, total gain = 78-12 = 66 degree
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Re: Between 12:24 and 14:36 the HOUR hand of a clock turns by [#permalink]

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21 Jul 2014, 22:59
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Re: Between 12:24 and 14:36 the HOUR hand of a clock turns by [#permalink]

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21 Jul 2014, 23:00
Do clock and calendar questions appear in gmat?
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Re: Between 12:24 and 14:36 the HOUR hand of a clock turns by [#permalink]

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22 Jul 2014, 03:26
maggie27 wrote:
Do clock and calendar questions appear in gmat?

____________

Why not? Nothing in such questions is out of the scope of the GMAT.
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Between 12:24 and 14:36 the HOUR hand of a clock turns by [#permalink]

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25 Feb 2015, 16:12
I solved it by drawing the clock and dividing it in quarters, each quarter being 90 degrees.

So, each quarter is further divided into 3 equal parts, each one of which is 30 degrees.

We are basically interested in the minutes.

So, from 00.24 to 00.29 we have 30 degrees.
From 00.29 to 00.34 we have another 30 degrees.
From 00.34 to 00.36 we have some additional degrees.

So, in total, we have 60 degrees plus a little bit. 66 is the closest value... So, B it is.

And we can actually end up with 66, as well, since each 30 degree part is divided in 5 equal parts, so 30/5=6. We have one of these additional parts, which leads to 60+6=66.
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Between 12:24 and 14:36 the HOUR hand of a clock turns by   [#permalink] 25 Feb 2015, 16:12
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