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Of the 800 sweaters in a certain store, 150 are red. How

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Of the 800 sweaters in a certain store, 150 are red. How [#permalink] New post 05 Feb 2009, 05:12
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Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

(1) 320 of the sweaters at the store are neither red nor made of pool wool

(2) 100 of the red sweaters at the store are not made of pure wool
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Apr 2012, 19:47, edited 1 time in total.
Edited the question and the OA
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Re: DS sets [#permalink] New post 11 Apr 2011, 10:31
jairus wrote:
Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

1) 320 of the sweaters at the store are neither red nor made of pool wool

2) 100 of the sweaters at the store are not made of pure wool


1) no information to come with pure wool red sweaters
2) 150-100= red pure wool sweaters
Ans. B.

What is the correct answer? please help.
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Re: DS sets [#permalink] New post 11 Apr 2011, 10:51
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Baten80 wrote:
jairus wrote:
Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

1) 320 of the sweaters at the store are neither red nor made of pool wool

2) 100 of the sweaters at the store are not made of pure wool


1) no information to come with pure wool red sweaters
2) 150-100= red pure wool sweaters
Ans. B.

What is the correct answer? please help.


I believe there is a problem in this question:
1) 320 of the sweaters at the store are neither red nor made of pool wool
This means that there are at least 320 NOT PURE WOOL sweaters.

2) 100 of the sweaters at the store are not made of pure wool
This tells are that AT MOST 100 sweaters at the store are NOT PURE WOOL sweaters.

Two contradicting statements.

I may be wrong.
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Re: DS sets [#permalink] New post 11 Apr 2011, 12:37
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You're perfectly correct, fluke. Looking up the question on another forum, there's a word missing in Statement 2 of the original post:

www.beatthegmat.com/wording-t16375.html

The question should read:


Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

1) 320 of the sweaters at the store are neither red nor made of pool wool

2) 100 of the red sweaters at the store are not made of pure wool


which makes the answer B (there then must be 150-100 = 50 red wool sweaters).
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Re: DS sets [#permalink] New post 11 Apr 2011, 15:35
fluke wrote:
Baten80 wrote:
jairus wrote:
Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

1) 320 of the sweaters at the store are neither red nor made of pool wool

2) 100 of the sweaters at the store are not made of pure wool


1) no information to come with pure wool red sweaters
2) 150-100= red pure wool sweaters
Ans. B.

What is the correct answer? please help.


I believe there is a problem in this question:
1) 320 of the sweaters at the store are neither red nor made of pool wool
This means that there are at least 320 NOT PURE WOOL sweaters.

2) 100 of the sweaters at the store are not made of pure wool
This tells are that AT MOST 100 sweaters at the store are NOT PURE WOOL sweaters.

Two contradicting statements.

I may be wrong.


I think so too.

It's saying in (1) that there are 320 Not Red and Not Wool and in statement (2) 100 are Not Wool. 320 is supposed to be a subset of the total sweaters that are not wool.
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Re: DS sets [#permalink] New post 11 Apr 2011, 20:25
I too had spent 20 min on this question and was thinking what's wrong, I should have spotted the contradictory statements earlier ! Thanks a lot Ian.
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Re: DS sets [#permalink] New post 11 Apr 2011, 21:19
Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

1) 320 of the sweaters at the store are neither red nor made of pool wool

2) 100 of the red sweaters at the store are not made of pure wool

800 = Only Red + Only Pure Wool + Both + neither

only red + both = 150

From (1)

Only Pure Wool = 800 - 150 - 320 = 800 - 470 = 330

But "Both" is stll not there.

So (1) is insufficient

(2) says

Only Red + both = 150

So both = 50

Answer - B
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Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink] New post 23 Apr 2012, 18:48
Why do we assume no other material could be used to make the red sweaters? Why wouldn't 40 of the remaining sweaters be polyster instead of pure wool?

In that case wouldn't E be the appropriate answer?
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Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink] New post 23 Apr 2012, 20:03
Expert's post
MBADreamzzz wrote:
Why do we assume no other material could be used to make the red sweaters? Why wouldn't 40 of the remaining sweaters be polyster instead of pure wool?

In that case wouldn't E be the appropriate answer?


Actually we do not assume that. All sweaters in the world are either wool or NOT wool (any other material). Look at either of the diagrams below, there is a row saying "Not Wool", so all sweater out of 800 which are made of some other material than wool are distributed there.

Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool?

(1) 320 of the sweaters at the store are neither red nor made of pool wool:
Attachment:
(1).png
(1).png [ 6.68 KiB | Viewed 3795 times ]
Not sufficient to get # of red sweaters made of pure wool (yellow box).

(2) 100 of the red sweaters at the store are not made of pure wool:
Attachment:
(2).png
(2).png [ 6.3 KiB | Viewed 3789 times ]
As you can see, # of red sweaters made of pure wool (yellow box) is 150-100=50. Sufficient.

Answer: B.

Hope it's clear.
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Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink] New post 11 Jun 2013, 06:28
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Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink] New post 02 Oct 2013, 12:37
What if it is made out of another material other than wool?
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Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink] New post 02 Oct 2013, 23:51
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ralmasri713 wrote:
What if it is made out of another material other than wool?


Sweaters made of some other materials fall into the category of "No Wool" (2nd row in the matrix given) and thus taken into consideration.

Does this make sense?
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Re: Of the 800 sweaters in a certain store, 150 are red. How   [#permalink] 02 Oct 2013, 23:51
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