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# Last year in a group of 30 businesses, 21 reported a net

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Senior Manager
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Last year in a group of 30 businesses, 21 reported a net [#permalink]

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25 Jan 2010, 08:52
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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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: last-year-in-a-group-of-30-businesses-21-reported-a-net-128640.html
[Reveal] Spoiler: OA
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Re: ple help [#permalink]

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25 Jan 2010, 09:35
Maybe you have wrong OA? I think D is a right answer.
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Re: ple help [#permalink]

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25 Jan 2010, 10:55
yes D should be the ans.

1. = 30-( 21+ 15-12) = 30-24

2. 30-24

both are sufficient.

hence D
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Re: ple help [#permalink]

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28 Jan 2010, 13:41
IMO D. The language of Stmt 2 is a bit Odd.
A or B or both
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Re: ple help [#permalink]

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15 Feb 2010, 05:31
I also got D

formulating table is a good way to go..

profit nonprofit total
non
foriegn 9 6 15

foriegn 12 3 15

total 21 9 30
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Re: ple help [#permalink]

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17 Feb 2010, 15:19
guys what the hell is statement 2? how would you add it to the standard overlapping sets table?
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Re: ple help [#permalink]

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17 Feb 2010, 16:39
nickk wrote:
guys what the hell is statement 2? how would you add it to the standard overlapping sets table?

It just means that if net profit is represented by set A and investments in foreign market is represented by Set B, then 24 of the 30 businesses were either reporting a net profit or were investing in foreign markets or did both. So essentially, 24 is the total count of elements from either A or B or both, which implies A Union B.
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Re: ple help [#permalink]

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29 Jun 2013, 03:14
BarneyStinson wrote:
nickk wrote:
guys what the hell is statement 2? how would you add it to the standard overlapping sets table?

It just means that if net profit is represented by set A and investments in foreign market is represented by Set B, then 24 of the 30 businesses were either reporting a net profit or were investing in foreign markets or did both. So essentially, 24 is the total count of elements from either A or B or both, which implies A Union B.

hi
but in statement B it doesn't say anything about the rest(6 out of 30).
so could it be possible that we cannot blindly assume for those 6.
i mean 2 reported profit then 28 did not.
if 5 belong to investment then 25 do not.
i mean there no clear distinction here. there could be a paradox that i am missing here. Just a thought that arose in my mind.
I chose A by the way.
but I am sure m wrong.
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Re: ple help [#permalink]

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29 Jun 2013, 03:42
1
KUDOS
Expert's post
prbhtsngr wrote:
BarneyStinson wrote:
nickk wrote:
guys what the hell is statement 2? how would you add it to the standard overlapping sets table?

It just means that if net profit is represented by set A and investments in foreign market is represented by Set B, then 24 of the 30 businesses were either reporting a net profit or were investing in foreign markets or did both. So essentially, 24 is the total count of elements from either A or B or both, which implies A Union B.

hi
but in statement B it doesn't say anything about the rest(6 out of 30).
so could it be possible that we cannot blindly assume for those 6.
i mean 2 reported profit then 28 did not.
if 5 belong to investment then 25 do not.
i mean there no clear distinction here. there could be a paradox that i am missing here. Just a thought that arose in my mind.
I chose A by the way.
but I am sure m wrong.

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?

Given: {Total} = {Profit} + {Investment} - {Both} + {Neither} --> 30=21+15-{Both}+{Neither} --> {Neither} = {Both} - 6.
Question: {Neither} = ?

(1) Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets --> {Both} = 12 --> {Neither}={Both}-6=12-6=6. Sufficient.

(2) Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both --> {Profit} + {Investment} - {Both} = 24 --> 21+15-{Both}=24 --> {Both}=12 --> {Neither}={Both}-6=12-6=6. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: last-year-in-a-group-of-30-businesses-21-reported-a-net-128640.html
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Re: ple help   [#permalink] 29 Jun 2013, 03:42
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# Last year in a group of 30 businesses, 21 reported a net

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