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A dental licensure exam requires a 75% minimum score in orde

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A dental licensure exam requires a 75% minimum score in orde [#permalink] New post 18 Mar 2014, 15:07
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  95% (hard)

Question Stats:

23% (02:34) correct 77% (01:51) wrong based on 169 sessions
A dental licensure exam requires a 75% minimum score in order to pass each section. Did Jennifer pass the 30-question third section?

(1) Jennifer recorded 8 more correct answers on the second half of the third section than she did on the first half of the third section.
(2) Jennifer answered one more question correctly on the third section than she did on the 28-question second section, which she passed.

Hi, can anyone explain how this question works, please. I am not fully convinced with the answer.

OE:
[Reveal] Spoiler:
(1): Fact that if there are only 30 questions total, then there are only 15 questions per half section. That means the MOST she could get right on the second half is 15, and since the second half had 8 more right answers than the first, the most she could have gotten right on the first half is 7 for a total maximum of 22 questions correct. Since she needs 75% to pass, and 22/30 is less than 75% (75% is 3/4 which would be 22.5 out of 30), she cannot pass.
Answer is "no”
Sufficient

(2): Insufficient. If she passed the second section, that means she answered at least 21 questions correctly, meaning that she answered at least 22 correctly (one more than she did on section two) on section three. But since the magic number is 22.5 to have 75% correct, she may not have passed (22) or she may have passed (22 is the minimum, but she could theoretically have gotten as many as 29 right), Insufficient
[Reveal] Spoiler: OA
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Re: dental licensure exam requires a 75% minimum score in order [#permalink] New post 18 Mar 2014, 17:58
I agree with the explanation for number (2) - maximum correct 28 questions, minimum correct 21 questions.

But I disagree with the explanation for (1). Is it true that whenever there an exam is split into two sections you would have an equal number of questions in each halves? Then again, if the examinee only answered one question correctly in the first half and and nine questions on the second half, he would not have passed the third section.
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Re: dental licensure exam requires a 75% minimum score in order [#permalink] New post 19 Mar 2014, 01:36
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pretzel wrote:
I agree with the explanation for number (2) - maximum correct 28 questions, minimum correct 21 questions.

But I disagree with the explanation for (1). Is it true that whenever there an exam is split into two sections you would have an equal number of questions in each halves? Then again, if the examinee only answered one question correctly in the first half and and nine questions on the second half, he would not have passed the third section.


We are told that Jennifer recorded 8 more correct answers on the second half of the third section than she did on the first half of the third section. So, she recorded 8 more correct answers on the first 15 questions, than she did on the second 15 questions.

A dental licensure exam requires a 75% minimum score in order to pass each section. Did Jennifer pass the 30-question third section?

For Jenifer to pass the section must answer at least 3/4*30 = 22.5, so at least 23 questions correct.

(1) Jennifer recorded 8 more correct answers on the second half of the third section than she did on the first half of the third section.

Even if Jenifer answered all 15 questions correctly on the second half and 15-8=7 questions correctly on the first half, she would only get 15+7=22 questions correctly, which is still less than minimum required (23). Thus, she did not pass the section. Sufficient.

(2) Jennifer answered one more question correctly on the third section than she did on the 28-question second section, which she passed.

For Jenifer to pass the second section must have answered at least 3/4*28=21 questions correctly there. Thus she answered at least 21+1=22 questions correctly on the third section, therefore she may or may not have passed the third section. Not sufficient.

Answer: A.

Hope it's clear.
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Re: A dental licensure exam requires a 75% minimum score in orde [#permalink] New post 18 Jun 2014, 18:56
The condition for passing the test is based on 75% score, not the number of questions. Hence, the answer should ideally be 'E' unless it is mentioned that "each question carries equal weightage in the score.
Re: A dental licensure exam requires a 75% minimum score in orde   [#permalink] 18 Jun 2014, 18:56
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