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What is the length of line segment AB? All / s are equal,

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What is the length of line segment AB? All / s are equal, [#permalink] New post 31 Aug 2011, 01:03
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

29% (01:06) correct 71% (00:41) wrong based on 17 sessions
What is the length of line segment AB? All /s are equal, all /s too.
All lines that meet are perpendicular.

1) / = 4
2) / = 2

Source: Barron's

[Reveal] Spoiler:
2 is definitely sufficient since you can add the 3 vertical lines on the left side (=6) and subtract the one on the right to calculate the length of /.
But how is 1 sufficient?
[Reveal] Spoiler: OA

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Re: Length of AB [#permalink] New post 31 Aug 2011, 19:40
The length of the vertical green line is equal to lengths of 2 vertical red lines. Therefore the length of the vertical green line is 2*2 = 4.
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Re: Length of AB [#permalink] New post 31 Aug 2011, 19:41
The 2 vertical red lines directly opposite the vertical green ie 2/(red line) = 4 ** 4/2 = 2
/ Red line = 2
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Re: Length of AB [#permalink] New post 31 Aug 2011, 19:59
If you know the length of red line, through the diagram you can know the length of vertical green line as it is equal to two vertical red lines. this will be same as horizontal green line and hence length of AB can be found.
Similarly, if you know the length of green line, you can find length of red line and hence AB

Each alone is sufficient
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Re: Length of AB [#permalink] New post 31 Aug 2011, 19:59
+1 for D
Red line is half of green line.
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Re: Length of AB [#permalink] New post 01 Sep 2011, 01:45
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This post received
KUDOS
Berbatov wrote:
What is the length of line segment AB? All /s are equal, all /s too.
All lines that meet are perpendicular.

1) / = 4
2) / = 2

Source: Barron's

[Reveal] Spoiler:
2 is definitely sufficient since you can add the 3 vertical lines on the left side (=6) and subtract the one on the right to calculate the length of /.
But how is 1 sufficient?


3R=1G+1R
2R=1G
Knowing either R or G gives the answer.

Ans: "D"
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Re: Length of AB [#permalink] New post 09 Sep 2011, 21:06
Kudos to fluke.
Visual inspection suggest, for length of AB, both 1) & 2) is required.
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Re: Length of AB   [#permalink] 09 Sep 2011, 21:06
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