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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).
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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.

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.
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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 9916 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 9909 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.

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

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31 Dec 2016, 01:35

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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20 Mar 2017, 22:27

Bunuel wrote:

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?

I see what you're saying- very silly mistake I made in my head- that's the point- how many are not made out of pure wool? The complement of that number is the amount of red sweaters made out of pure wool.

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

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20 Mar 2017, 22:33

IMO B ; you cant make out the answer with only 1st option as you can't find how many sweaters are of red and not wool. To get the value from the mentioned red sweaters. 2nd option right on the mark . answer B is enough . @bunel did a great job in explaining.

gmatclubot

Re: Of the 800 sweaters in a certain store, 150 are red. How
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20 Mar 2017, 22:33

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