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Dan took a 20-question multiple-choice test in psychology.

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Dan took a 20-question multiple-choice test in psychology.

by BTGmoderatorLU » Wed Jul 03, 2019 2:10 pm

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Source: GMAT Paper Tests

Dan took a 20-question multiple-choice test in psychology. If Dan answered every question did he answer at least 12 questions correctly?

1. Dan answered fewer than 40 percent of the questions incorrectly.
2. Dan answered at least 25 percent of the questions incorrectly.

The OA is A
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Source: — Data Sufficiency |
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by swerve » Sun Jul 07, 2019 10:25 am

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B

C

D

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Statement 1: Dan answered fewer than \(40\) percent of the questions incorrectly
\(I < 20 \cdot \frac{40}{100}\)
\(I < 8\). Thus \(D > 12\Rightarrow\) Sufficient

Statement 2: Dan answered at least \(25\) percent of the questions incorrectly
\(I \geq 20 \cdot \frac{25}{100}\)
\(I \geq 5\)
\(I\) can be \(5, D=15\)
\(I\) can be \(15, D=5\Rightarrow\) Insufficient

Hence, the correct answer is __A__
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