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DS3

Expert replies
by thecoolguy » Thu Jul 03, 2008 1:01 am
Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?

(1) last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.
(2) last year 24 of the 30 businesses reported a net profit or invested in
foreign markets, or both.

This seems to be a simple question. I am doubting the answer. My answer is D, but the answer given is B.
Good Luck
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Source: — Data Sufficiency |

Re: DS3

by Stuart@KaplanGMAT » Thu Jul 03, 2008 10:01 am
thecoolguy wrote:Last year in a group of 30 businesses, 21 reported a net profit and
15 had investments in foreign markets. How many of the businesses
did not report a net profit nor invest in foreign markets last year?

(1) last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.
(2) last year 24 of the 30 businesses reported a net profit or invested in
foreign markets, or both.

This seems to be a simple question. I am doubting the answer. My answer is D, but the answer given is B.
(1) is also sufficient.

The general equation for 2 overlapping groups is:

True # of entities = (total # with char 1) + (total # with char 2) + (# with neither char) - (# with both chars)

From the original info, we know that:

30 = 21 + 15 + neither - both

and we're asked to solve for "neither".

(1) gives us "both", so we can definitely solve.
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by gauravkhare » Thu Jul 03, 2008 11:52 am
yes i also feel 'D' is the correct answer.

what is the sourse of this question???
gaurav
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by pranavc » Thu Jul 03, 2008 6:47 pm
The answer has got to be D. Any confirmations on the OA yet?
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by RiyaShhh » Wed Aug 31, 2011 2:53 am
This question is from OG Quant Review (Q 85). And the given OA is D, not B
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by sachindia » Sat Dec 22, 2012 1:09 am
how to solve this using double set matrix?
Regards,
Sach
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