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One-fifth of the light switches produced by a certain

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One-fifth of the light switches produced by a certain [#permalink] New post 28 Nov 2007, 13:37
One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%
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Re: Defective Switches [#permalink] New post 28 Nov 2007, 16:02
yogachgolf wrote:
One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%


I think something is missing here.
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 [#permalink] New post 28 Nov 2007, 18:33
haha, I agree. I tried reading a few times. I was thinking: where's the trick?
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Re: Defective Switches [#permalink] New post 28 Nov 2007, 19:44
GMATBLACKBELT wrote:
yogachgolf wrote:
One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%


I think something is missing here.


The wording is certainly not as good as OG. For practice, what part do you think is missing from the question?
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Re: Defective Switches [#permalink] New post 28 Nov 2007, 20:03
yogachgolf wrote:
GMATBLACKBELT wrote:
yogachgolf wrote:
One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%


I think something is missing here.


The wording is certainly not as good as OG. For practice, what part do you think is missing from the question?


Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake.

and what of nondefective switches??? 4/5's? this is really ambigious here it seems to be missing something
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 [#permalink] New post 28 Nov 2007, 22:25
Yeah. I still agree. With the given info I would say 16% (4/5 of 1/5), but wording of the problem makes me believe there's more...
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 [#permalink] New post 28 Nov 2007, 22:45
I think the nonrejected can not be calculated due to lack of infomation "Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake" is not clea
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Re: Defective Switches [#permalink] New post 28 Nov 2007, 23:10
yogachgolf wrote:
One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%


where'd you get this question from
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 [#permalink] New post 29 Nov 2007, 08:44
sondenso wrote:
I think the nonrejected can not be calculated due to lack of infomation "Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake" is not clea


Copy/paste error...the question should be:
One-fifth of the light switches produced by a certain factory are defective. Four-fifths of the defective switches are rejected and 1/20 of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%

I did the question again and found the answer by using matrix. This question is from the 1000 series.
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 [#permalink] New post 29 Nov 2007, 09:10
Say 100 are produced
Of these 20 are defective (1/5)
Of these 16 are rejected (4/5)
and 4 sold

Of the 100, 80 are okay
Of these 4 are rejected (1/20)
and 76 sold

So 80 are sold (4 + 76)
of which 4 are defective.

Answer: 4/80 = 5%, Answer B
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 [#permalink] New post 29 Nov 2007, 09:26
Raffie wrote:
Say 100 are produced
Of these 20 are defective (1/5)
Of these 16 are rejected (4/5)
and 4 sold

Of the 100, 80 are okay
Of these 4 are rejected (1/20)
and 76 sold

So 80 are sold (4 + 76)
of which 4 are defective.

Answer: 4/80 = 5%, Answer B



Same approach. nice!
  [#permalink] 29 Nov 2007, 09:26
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