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GRE Math Challenge #17-The horizontal lines are parallel

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GRE Math Challenge #17-The horizontal lines are parallel [#permalink] New post 06 Sep 2014, 13:29
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Question Stats:

20% (00:46) correct 80% (00:26) wrong based on 10 sessions
Image


The horizontal lines are parallel to each other.

Quantity A: AB
Quantity B: CD

A)The quantity in Column A is greater
B)The quantity in Column B is greater
C)Both are Equal.
D)The relationship cannot be determined from the information given
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #17 [#permalink] New post 09 Sep 2014, 20:30
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Concept: When a line intersects 2 parallel lines the length of the intersecting line is minimum when the intersecting angle is 90 degrees. Further when the angle keeps on decreasing the length of the intersecting line keeps on increasing.

In this case, the angle made by the segment CD is 60 degrees and the angle made by the segment AB is 61 degrees.
As per the above mentioned concept, the length of CD > length of AB, Hence, the correct option is (B)
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Re: GRE Math Challenge #17-The horizontal lines are parallel [#permalink] New post 08 Mar 2018, 00:14
sandy wrote:
Image


The horizontal lines are parallel to each other.

Quantity A: AB
Quantity B: CD

A)The quantity in Column A is greater
B)The quantity in Column B is greater
C)Both are Equal.
D)The relationship cannot be determined from the information given


For this problem, we told that since the 2 horizontal lines are parallel, then we can deduce that the space b/t the 2 lines would be uniform.

Meanwhiles, it is told that Line AB intesct with bottom lines at the angle of 61。 while CD cross with bottom line at 60。

It is very conspicuous the lower the degrees which a line interect with paralles, the longer the length would be.
Re: GRE Math Challenge #17-The horizontal lines are parallel   [#permalink] 08 Mar 2018, 00:14
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GRE Math Challenge #17-The horizontal lines are parallel

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