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Last year in a group of 30 businesses, 21 reported a net [#permalink]
05 Mar 2012, 16:27

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A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

66% (02:25) correct
34% (01:37) wrong based on 190 sessions

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.

Re: Last year in a group of 30 businesses, 21 reported a net [#permalink]
05 Mar 2012, 21:56

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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 --> {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.

Answer: D.

TomB wrote:

can anybody tell the matrix approach for stmnt(2)

As you can see the problem can be easily solved without a matrix, but anyway here you go, matrix for statement (2):

(2) says that a+b+c=24, on the other hand a+b+c+d=30=Total --> 24+d=30 --> d=6. Sufficient.

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.

can anybody tell the matrix approach for stmnt(2)

(A) is straight forward.

As for (B), we are told the answer straight away. If we have a total of 24 who reported Profit or invested in Foreign markets or both, then we will have 6 who did none of that and that is "did not report a net profit nor invest in foreign markets last year".

Venn Diagram vs. Table Matrix [#permalink]
07 Nov 2012, 10:11

I am trying to figure when when I am supposed to use one over other. For example, I came across the following DS problem.

Last year in a group of 30 businesses, 21 reported a net profit and 15 had invested in the foreign markets. How many businesses did not report a net profit nor invest in the foreign markets last year?

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

Now, I am not asking anyone for a solution of this problem. I have it in front of me and it makes sense. The mistake I made is instead of using the Venn diagram (two circles that intersect a-x, x, y-x. that sort of thing), I used the matrix (net profit, no net profit, total, foreign investment, no foreign investment, total). Naturally, when I read the second statement I got confused because I did not know what to put into the table cell. I basically lost time doing the whole thing because I could not determine with matrix whether the statement 2 was sufficient or not.

Next time when I see a similar problem, I would like to know instantly which of the two approaches would bring me to the answer. What am I doing wrong?

Re: Venn Diagram vs. Table Matrix [#permalink]
07 Nov 2012, 14:03

Expert's post

Baracuda123 wrote:

I am trying to figure when when I am supposed to use one over other. For example, I came across the following DS problem.

Last year in a group of 30 businesses, 21 reported a net profit and 15 had invested in the foreign markets. How many businesses did not report a net profit nor invest in the foreign markets last year?

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

Now, I am not asking anyone for a solution of this problem. I have it in front of me and it makes sense. The mistake I made is instead of using the Venn diagram (two circles that intersect a-x, x, y-x. that sort of thing), I used the matrix (net profit, no net profit, total, foreign investment, no foreign investment, total). Naturally, when I read the second statement I got confused because I did not know what to put into the table cell. I basically lost time doing the whole thing because I could not determine with matrix whether the statement 2 was sufficient or not.

Next time when I see a similar problem, I would like to know instantly which of the two approaches would bring me to the answer. What am I doing wrong?

Merging similar topics. Please refer to the solutions above and ask if anything remains unclear.

Re: Last year in a group of 30 businesses, 21 reported a net [#permalink]
15 Nov 2012, 14:39

Thanks Bunuel and sorry for that.

It looks like I made a mistake with my matrix setup. Can you tell me though, what is the difference between Venn diagram and Matrix. I noticed that MGMAT makes distinction between the two. I cannot tell whether I make mistakes in setting up the matrix (like I did now) or Venn diagram, or there are times I can use only one of them. How can I tell?

Re: Last year in a group of 30 businesses, 21 reported a net [#permalink]
14 Feb 2014, 04:23

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Re: Last year in a group of 30 businesses, 21 reported a net [#permalink]
04 Mar 2014, 21:00

I do not understand how can we say "last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both" when the question says "Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets."

Isn't B going against the question?

Statement in question : Last year in a group of 30 businesses, 21 reported a net profit Statement B : last year 24 of the 30 businesses reported a net profit

Re: Last year in a group of 30 businesses, 21 reported a net [#permalink]
04 Mar 2014, 23:59

Expert's post

gauravkaushik8591 wrote:

I do not understand how can we say "last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both" when the question says "Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets."

Isn't B going against the question?

Statement in question : Last year in a group of 30 businesses, 21 reported a net profit Statement B : last year 24 of the 30 businesses reported a net profit

Refer to the matrix:

a = investment and profit; b = investment and NO profit; c = profit and NO investment; d = NO investment and NO profit.

(2) Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both --> a+b+c=24 (all groups but NO investment and NO profit.).

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