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A test consists of two sections. The first section contains

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A test consists of two sections. The first section contains [#permalink] New post 11 May 2019, 09:55
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A test consists of two sections. The first section contains 40 questions and the second section contains 80 questions. If a student correctly answered 70 percent of all the questions in the test and correctly answered 60 percent of the questions in the second section, what percent of the questions did the student correctly answer in the first section?

A. 65%

B. 70%

C. 75%

D. 80%

E. 90%
[Reveal] Spoiler: OA

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Re: A test consists of two sections. The first section contains [#permalink] New post 12 May 2019, 05:00
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Carcass wrote:
A test consists of two sections. The first section contains 40 questions and the second section contains 80 questions. If a student correctly answered 70 percent of all the questions in the test and correctly answered 60 percent of the questions in the second section, what percent of the questions did the student correctly answer in the first section?

A. 65%

B. 70%

C. 75%

D. 80%

E. 90%



1st section: 40 questions
2nd section: 80 questions
TOTAL number of questions = 120

The student correctly answered 70 percent of all the questions in the test
70% of 120 = 84
So, the student correctly answered 84 questions

The student correctly answered 60 percent of the questions in the second section
The 2nd section has 80 questions
60% of 80 = 48
So, the student correctly answered 48 questions in the second section

What percent of the questions did the student correctly answer in the first section?
84 - 48 = 36
So, the remaining 36 questions the student answered correctly much have been in the first section.
There are 40 questions in the first section.
36/40 = 9/10 = 90%

Answer: E

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Brent
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Re: A test consists of two sections. The first section contains   [#permalink] 12 May 2019, 05:00
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