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DS - doubt

Expert replies
by m-sand » Sun Jan 03, 2010 5:37 am
Of the cans of peaches inspected yesterday at a certain plant, 1.5 percent failed to pass inspection. Of the cans that failed inspection, 5/6 were incorrectly labeled and the rest were dented. If all of the cans that were incorrectly labeled or dented failed inspection, how many of the cans of peaches inspected yesterday at the plant were dented?
(1) 450 of the cans of peaches inspected yesterday at the plant failed to pass inspection.
(2) 29,550 of the cans of peaches inspected yesterday at the plant passed inspection.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

OA : D . I have a doubt here. As the question doesn't specifically say anything about cans that are both 'incorrectly labeled' and 'dented' , the correct answer e. Your comments ???
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Source: — Data Sufficiency |

by papgust » Sun Jan 03, 2010 5:57 am
1.5% of all cans failed inspection
5/6 = incorrectly labeled
1/6 = dented

how many dented?

1. 450 cans failed to pass inspection.

The moment you see this, you can conclude that the stmt is sufficient because you know 1/6th of failed cans were dented. With this info, you can find out the number of cans that were dented.
Sufficient.

2. 29,550 cans passed inspection.

We know that 1.5% of all cans failed inspection. Hence, 98.5% of all cans passed inspection. With the given info (29,550), you can find out the number of cans that failed inspection. Then, you could find out the number of cans that were dented.
Sufficient.

I guess you got confused with the phrase "If all of the cans that were incorrectly labeled or dented failed inspection..". We are not dealing with set theory here. This phrase is actually unnecessary, just to confuse the candidates.
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