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30 Jun 2021, 08:30
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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:
69% (01:24) correct
31%
(01:21)
wrong
based on 54
sessions
History
Date
Time
Result
Not Attempted Yet
Lily took an exam that had 100 questions numbered from 1 to 100. How many of the questions did she answer correctly?
(1) The number of odd-numbered questions she answered correctly was 9 more than the number of even-numbered questions she answered correctly.
(2) She answered 10 of the questions in the first half of the exam incorrectly and 20 of the questions in the second half of the exam incorrectly.
(1) The number of odd-numbered questions she answered correctly was 9 more than the number of even-numbered questions she answered correctly.
(2) She answered 10 of the questions in the first half of the exam incorrectly and 20 of the questions in the second half of the exam incorrectly.
30 Jun 2021, 09:48
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Bunuel
I'd interpret Statement 2, as written, to mean "she answered 10 out of the first 50 questions incorrectly, and therefore 40 of them correctly, and she answered 20 of the remaining 50 questions incorrectly, and therefore 30 of them correctly." So I'd think Statement 2 is sufficient, and that Lily answered 70 questions correctly.
I suspect some 'trick' is embedded in the question though, because if my interpretation of Statement 2 is correct, then Statement 1 can't possibly true (Statement 1 can only be true if Lily answers an odd number of questions correctly). I imagine the question designer has in mind the idea that "maybe Lily didn't even attempt some of the questions", so for each question, she can have a correct answer, an incorrect answer, or neither. In that case Statement 2 only tells us she had at most 70 right answers. If that's the 'trick' here, on first impression it doesn't seem fair to me (but I guess I'd have to think on it a bit), but if that's what we're meant to assume, then the answer is E, because then she can have any odd number of correct answers between 9 and 69 inclusive.
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