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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 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.

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). _________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

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.

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. _________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink]

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23 Apr 2012, 21:03

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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 [ 6.68 KiB | Viewed 7787 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 [ 6.3 KiB | Viewed 7782 times ]

As you can see, # of red sweaters made of pure wool (yellow box) is 150-100=50. Sufficient.

Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink]

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20 Nov 2014, 02:37

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Re: Of the 800 sweaters in a certain store, 150 are red. How [#permalink]

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22 Dec 2015, 04:12

I was thinking of C or E till I read meaning into (2). (2) is talking of RED sweaters! and A hundred of the Red sweaters are made of whatever other than pure wool. I.e. whatever that isn't pure wool. that means the rest are reds made of pure wools. This question is really sub 600.

gmatclubot

Re: Of the 800 sweaters in a certain store, 150 are red. How
[#permalink]
22 Dec 2015, 04:12

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