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GRE Math Challenge #74-circular clock above shows time

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE Math Challenge #74-circular clock above shows time [#permalink] New post 03 May 2015, 01:31
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Question Stats:

100% (00:01) correct 0% (00:00) wrong based on 2 sessions
Image


The circular clock above shows a time of exactly 3:30. What is the value of x?

(A) 60
(B) 75
(C) 85
(D) 90
(E) 105


[Reveal] Spoiler:
Attachment:
Quant8.jpg
Quant8.jpg [ 9.8 KiB | Viewed 1368 times ]
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #74-circular clock above shows time [#permalink] New post 13 Dec 2017, 21:45
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sandy wrote:
Image


The circular clock above shows a time of exactly 3:30. What is the value of x?

(A) 60
(B) 75
(C) 85
(D) 90
(E) 105


[Reveal] Spoiler:
Attachment:
The attachment Quant8.jpg is no longer available



Here the clock is a circle, which is dived by 12 units or hour

SO each hour has an angle of = 360/12 = 30 degree.

Now plz refer to the diagram

here we need to find the degree x

so angle between 6 to 5 is = 30 degree

angle between 5 to 4 is = 30 degree

and angle between 4 and 3 is at the middle i.e = 15 degree (or it can also be explained as = \(\frac{6}{12} * 30\) = 15, where 6 is the minute arm and 12 is the total division in the circle and 30 is the degree between each hour).

Hence the total angle = 30 + 30 + 15 = 75 degree
Attachments

clock4.jpg
clock4.jpg [ 19.57 KiB | Viewed 335 times ]


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Re: GRE Math Challenge #74-circular clock above shows time   [#permalink] 13 Dec 2017, 21:45
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GRE Math Challenge #74-circular clock above shows time

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