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---P---Q---R---S---T--- In the figure above, what is the le

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by alanforde800Maximus » Tue May 15, 2018 3:19 am

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---P---Q---R---S---T---

In the figure above, what is the length of segment PQ?

(1) S is the midpoint of segment RT.
(2) Segment PT has length 10 and segment QT has length 6.
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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Tue May 15, 2018 5:52 am
alanforde800Maximus wrote:---P---Q---R---S---T---

In the figure above, what is the length of segment PQ?

(1) S is the midpoint of segment RT.
(2) Segment PT has length 10 and segment QT has length 6.
Target question: What is the length of segment PQ?

Statement 1: S is the midpoint of segment RT
Since we are not given ANY actual measurements (i.e., lengths) whatsoever, there's no way to determine the length of PQ
Statement 1 is NOT SUFFICIENT

Statement 2: Segment PT has length 10 and segment QT has length 6
We know that: PT = PQ + QT
So, we can write: 10 = PQ + 6
Solve to get: PQ = 4
In other words, the answer to the target question is the length of segment PQ is 4
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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