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If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?

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by BTGModeratorVI » Wed Jan 06, 2021 8:04 am

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If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?

(1) R is between S and T.
(2) S is to the left of R, and T is to the right of R.

Answer: D
Source: official guide
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Source: — Data Sufficiency |

BTGModeratorVI wrote:
Wed Jan 06, 2021 8:04 am
If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?

(1) R is between S and T.
(2) S is to the left of R, and T is to the right of R.

Answer: D
Source: official guide
Given: R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S
There are 4 possible scenarios that meet the above conditions:
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Target question: How far is S from T?

Statement 1: R is between S and T.
When we check the 4 possible scenarios, we see that scenarios #2 and #3 meet the conditions of statement 1
For both scenarios, the answer to the target question is the distance from S to T is 7
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: S is to the left of R, and T is to the right of R.
When we check the 4 possible scenarios, we see that only scenario #2 meets the conditions of statement 2
For scenario #2, the answer to the target question is the distance from S to T is 7
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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