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What was the percentage of defective items produced at a fac

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by BTGmoderatorAT » Sun Nov 05, 2017 3:59 am
What was the percentage of defective items produced at a factory?

(1) The total number of defective items produced was 1,234.
(2) The ratio of defective items to nondefective items was 32 to 5,678.

What's the best way to verify which statement is sufficient?
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Source: — Data Sufficiency |

by GMATGuruNY » Sun Nov 05, 2017 4:14 am
ardz24 wrote:What was the percentage of defective items produced at a factory?

(1) The total number of defective items produced was 1,234.
(2) The ratio of defective items to nondefective items was 32 to 5,678.
Question stem, rephrased:
What is the value of (defective items)/(total number of items)?

Statement 1:
No information about the total number of items.
INSUFFICIENT.

Statement 2:
(defective) : (non-defective) = 32:5678.
32+5678 = 5710.
Implication:
Of every 5710 items, 32 are defective, while 5678 are non-defective.
Thus:
(defective)/(total number of items) = 32/5710.
SUFFICIENT.

The correct answer is B.
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