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17 Feb 2013, 10:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:54) correct
27%
(01:36)
wrong
based on 1357
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On a certain 50-question test, each correct answer is worth 2 points, with no penalty for incorrect answers. If the minimum passing score on the test is 60, did Ethel pass the test?
(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly
(1) Ethel answered 10 more questions correctly on the first half of the test than on the second half
(2) Ethel answered more than half of the questions on the test correctly
The correct answer is: Statements (1) and (2) taken TOGETHER are NOT SUFFICIENT.
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I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.
At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?
In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.
Once again thank you in advance for the clarification
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I understand why the Statement (2) is inconclusive, however I'm struggling with the first one.
At worst she could have answered 10 questions correctly in the first part and none in the second. What about the best option?
In Kaplan they explain at best she could have answered 25 questions in the first and 15 in the second part. Why? Why not 30 and 20, respectively? It adds up to 50 questions.
Once again thank you in advance for the clarification
17 Feb 2013, 15:28
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The reason she can't answer 30 correctly is that there are only 25 questions on the first half of a 50 question exam.
22 Feb 2013, 09:26
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langus91
Hi langus91, you've got the logic down perfectly. Statement 1 indicates there could have been 10 correct answers in the first half and 0 in the second half, or 11-1, or 12-2, etc. So the minimum score the student could get while satisfying this equation is 20/100. Assuming more and more answers are answered correctly, we end up at 25-15 (that is, all questions correct on the first half and 60% correct on the second half, which leads to 80/100 total score.
As you indicated in your spoiler, you were unsure about a 30-20 split, which was addressed by JimGMATPrepster. However, even if you're unsure of this on test day it won't stop you from getting the correct answer as 20-10 or above will lead to a passing grade on the exam. Even putting the two conditions together, Ethel could have correctly answered questions in any of the following proportions:
18-8, (total 26/50, more than half)
19-9,
20-10,
21-11,
22-12,
23-13,
24-14,
25-15 (total 40/50, maximum score of 80/100)
The first two are failing grades, while the final five are passing grades. Hence why the answer is E. The GMAT can be a very unforgiving exam, but you can still get the right answer even if you make little conceptual mistakes like this one.
Hope this helps!
-Ron
