21+1=22 questions correctly from "Jennifer answered one more question correctly on the third section than she did on the 28-question second section, which she passed"?

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.