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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]

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31 Aug 2011, 02:03
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Difficulty:

55% (hard)

Question Stats:

47% (01:34) correct 53% (00:36) wrong based on 34 sessions

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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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31 Aug 2011, 20:40
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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31 Aug 2011, 20:41
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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31 Aug 2011, 20:59
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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31 Aug 2011, 20:59
+1 for D
Red line is half of green line.
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01 Sep 2011, 02:45
1
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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09 Sep 2011, 22:06
Kudos to fluke.
Visual inspection suggest, for length of AB, both 1) & 2) is required.
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Re: What is the length of line segment AB? All / s are equal, [#permalink]

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16 Jan 2016, 14:36
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the length of line segment AB? All / s are equal,   [#permalink] 16 Jan 2016, 14:36
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