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Peter, Mary, and Edna took the same examination. Which of th

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by BTGmoderatorAT » Sun Feb 04, 2018 6:47 am
Peter, Mary, and Edna took the same examination. Which of them received the highest score?

(1) There was a 10-point gap between Peter's score and Mary's score.
(2) There was an 8-point gap between Edna's score and Peter's score.

What's the best way to determine whether statement 1 is sufficient?
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Source: — Data Sufficiency |
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by DavidG@VeritasPrep » Sun Feb 04, 2018 8:12 am
ardz24 wrote:Peter, Mary, and Edna took the same examination. Which of them received the highest score?

(1) There was a 10-point gap between Peter's score and Mary's score.
(2) There was an 8-point gap between Edna's score and Peter's score.

What's the best way to determine whether statement 1 is sufficient?
Statement 1: we know nothing about Edna's score, so this can't possibly be sufficient on its own
Statement 2: we know nothing about Mary's score, so this can't possible be sufficient on its own

Together: Case 1: Peter gets a 10, Mary a 0, and Edna, an 18. Edna received the highest score
Case 2: Peter gets a 10, Mary a 0, and Edna, a 2. Peter received the highest score.
Because the statements together do not give a single unique result, the answer is E
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