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# Out of 41 people, 16 people like trout, 18 like bass, and 20 like salm

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
Out of 41 people, 16 people like trout, 18 like bass, and 20 like salm  [#permalink]

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06 Apr 2016, 02:10
00:00

Difficulty:

45% (medium)

Question Stats:

76% (02:34) correct 24% (02:45) wrong based on 169 sessions

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Out of 41 people, 16 people like trout, 18 like bass, and 20 like salmon. Moreover, 6 people like both trout and bass, and of these people, 3 also like salmon. If 10 people only like bass, 8 people only like trout, and all of the 41 people like at least 1 of the three fish, then how many people like only salmon?

A. 10
B. 13
C. 14
D. 16
E. 17

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VP
Joined: 07 Dec 2014
Posts: 1189
Re: Out of 41 people, 16 people like trout, 18 like bass, and 20 like salm  [#permalink]

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06 Apr 2016, 18:25
5
see graphic
13 people like only salmon
Attachments

venn.jpg [ 27.41 KiB | Viewed 1653 times ]

Intern
Joined: 15 Jan 2018
Posts: 7
Re: Out of 41 people, 16 people like trout, 18 like bass, and 20 like salm  [#permalink]

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24 Mar 2018, 11:38
Finding difficulty to find one proper approach/method to solve all overlapping sets questions !!!
Is it easier to solve all the 2/3 overlapping set questions by Venn diagram method ?
Can this question not be solved by matrix method ?
Or is it that based on the question, the approach/method has to be chosen appropriately.
Senior PS Moderator
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 750
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Re: Out of 41 people, 16 people like trout, 18 like bass, and 20 like salm  [#permalink]

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24 Mar 2018, 11:50
1
Finding difficulty to find one proper approach/method to solve all overlapping sets questions !!!
Is it easier to solve all the 2/3 overlapping set questions by Venn diagram method ?
Can this question not be solved by matrix method ?
Or is it that based on the question, the approach/method has to be chosen appropriately.

It depends on the questions and also the preference of the person ( comfort level with different approaches )

For example.. the formula method for overlapping sets might give fast answers but I personally don't find it appealing as I am unable to visualise the problem so I prefer the Venn diagram for 3 overlapping sets problems

However, for two overlapping sets problems Iike men and women at a factor with or without college education .. I find the matrix approach faster and more intuitive.

Go through as many questions as you can get your hands on to find out what you are comfortable with and which method works fastest for you.

Here is the url to overlapping sets theory ( ofcourse from Bunuel )
https://gmatclub.com/forum/overlapping- ... 05636.html

Best,
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Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Manager
Joined: 09 Nov 2015
Posts: 68
Re: Out of 41 people, 16 people like trout, 18 like bass, and 20 like salm  [#permalink]

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03 Apr 2018, 00:49
There seems to be a superfluity of data in this question. We are told that there are 41 persons in total and that 20 like bass. Either of these two pieces of information would have been sufficient to solve the problem.
Re: Out of 41 people, 16 people like trout, 18 like bass, and 20 like salm   [#permalink] 03 Apr 2018, 00:49
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