It is currently 18 Aug 2017, 09:24

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A total of 800 students were asked whether they found two subjects, M

Author Message
TAGS:

### Hide Tags

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857

Kudos [?]: 2420 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

03 Jun 2014, 22:12
fozzzy wrote:
In this question a venn diagram approach would be easier don't you think? Easy to visualize.

I usually try to attempt such questions using Venn diagram, but was unable to do

Can anyone try doing this using Venn Diagram? Thanks in advance
_________________

Kindly press "+1 Kudos" to appreciate

Kudos [?]: 2420 [0], given: 193

Intern
Joined: 15 Mar 2014
Posts: 1

Kudos [?]: 0 [0], given: 9

Schools: ISB '16
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

01 Aug 2014, 23:08
Hello,

I solved it this way.

Given: 200 students answered YES only for sub M. also from given table, total number of students, who answered YES to sub M = 500.
this implies, 500-200=300 students who answered YES to both sub M & sub R. => {MnR}

now i am applying sets formula of {M U R} = {M} + {R} - {MnR} = 500 + 400 - 300 = 600.
And ans to our que = Total - {M U R} = 800 - 600 = 200, are number of studs who didnt ans YES for either sub.

hope this helps too.

Thanks.

Kudos [?]: 0 [0], given: 9

Current Student
Joined: 04 Jul 2014
Posts: 289

Kudos [?]: 287 [0], given: 403

Location: India
GMAT 1: 640 Q47 V31
GMAT 2: 640 Q44 V34
GMAT 3: 710 Q49 V37
GPA: 3.58
WE: Analyst (Accounting)
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

22 Nov 2014, 03:34
GMATBaumgartner wrote:
Hi Bunuel,
This was a wonderful problem. Could you share with a few more testing similar DI types Q's such as this one.

Hi Bunuel!

Do we have more questions of this type? Kindly share links
_________________

Cheers!!

JA
If you like my post, let me know. Give me a kudos!

Kudos [?]: 287 [0], given: 403

Current Student
Joined: 04 Jul 2014
Posts: 289

Kudos [?]: 287 [0], given: 403

Location: India
GMAT 1: 640 Q47 V31
GMAT 2: 640 Q44 V34
GMAT 3: 710 Q49 V37
GPA: 3.58
WE: Analyst (Accounting)
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

22 Nov 2014, 03:44
PareshGmat wrote:
fozzzy wrote:
In this question a venn diagram approach would be easier don't you think? Easy to visualize.

I usually try to attempt such questions using Venn diagram, but was unable to do

Can anyone try doing this using Venn Diagram? Thanks in advance

Here is a Venn Diagram attempt! Read it thus:
R ==> Yes only for R
B ==> Yes for both
S ==> Yes only for M (sorry typo )
Attachment:

Untitled.png [ 11.46 KiB | Viewed 1404 times ]

_________________

Cheers!!

JA
If you like my post, let me know. Give me a kudos!

Kudos [?]: 287 [0], given: 403

Current Student
Joined: 26 Aug 2014
Posts: 827

Kudos [?]: 161 [0], given: 98

Concentration: Marketing
GPA: 3.4
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

06 Dec 2014, 09:40
wow, i'm glad i come to the forums. this is 50 times faster than the explanation gmatprep provided.

it should be illegal - their solutions!

Bunuel wrote:
nobelgirl777 wrote:
----------------YES---------NO----UNSURE
Subject M----500--------200-----100
Subject R----400--------100-----300

A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either "yes" or "no" or "unsure", and the numbers of students who gave these answers are listed in the table above. If 200 students answered "yes" only for subject M, how many of the students did not answer "yes" for either subject?

A. 100
B. 200
C. 300
D. 400
E. 500

Since 200 students answered "yes" only for subject M, then the remaining 300 students who answered "yes" for subject M, also answered "yes" for subject R. So, 300 students answered "yes" for both subjects.

If 300 students answered "yes" for both subjects, then 400-300=100 students answered "yes" only for subject R.

So, we have that:
200 students answered "yes" only for subject M;
100 students answered "yes" only for subject R;
300 students answered "yes" for both subjects;

Therefore 800-(200+100+300)=200 students did not answer "yes" for either subject.

Hope it's clear.

Kudos [?]: 161 [0], given: 98

Optimus Prep Instructor
Joined: 06 Nov 2014
Posts: 1887

Kudos [?]: 497 [0], given: 23

Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

31 Mar 2015, 10:53
nobelgirl777 wrote:
----------------YES---------NO----UNSURE
Subject M----500--------200-----100
Subject R----400--------100-----300

A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either "yes" or "no" or "unsure", and the numbers of students who gave these answers are listed in the table above. If 200 students answered "yes" only for subject M, how many of the students did not answer "yes" for either subject?

A. 100
B. 200
C. 300
D. 400
E. 500

Given that 200 students answered YES only for subject M.
There are 500-200 = 300 more students who answered YES for subject M.
So, remaining 300 students who answered YES for subject M, also answered YES for subject R.
Hence, 300 students answered YES for both subjects.
This implies that 400-300 = 100 students answered YES only for subject R.

So, 800-(200+100+300)=200 students did NOT answer YES for either subject.

Hence option (B).

--
Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimus-prep.com/gmat-on-demand-course _________________ # Janielle Williams Customer Support Special Offer:$80-100/hr. Online Private Tutoring
GMAT On Demand Course \$299
Free Online Trial Hour

Kudos [?]: 497 [0], given: 23

Intern
Joined: 10 Jun 2013
Posts: 19

Kudos [?]: 14 [0], given: 25

Concentration: General Management, Technology
GMAT Date: 06-26-2015
WE: Corporate Finance (Venture Capital)
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

31 Mar 2015, 13:17
I've made it very quickly (few seconds) but correct me if i'm wrong :

200 who "yes" on M -> voted "no" or "unsure" for R...
As a consequence, the 400 who voted "yes" on R are different from the 200 above.

Then the sum of the student's who said yes for either M or R is 600 (400 + 200 ).

Then those who never said yes to anything are 800 - 600 = 200.

Kudos [?]: 14 [0], given: 25

Manager
Joined: 24 Nov 2013
Posts: 60

Kudos [?]: 17 [0], given: 115

Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

16 Aug 2015, 22:13
In case, we are not able to solve the question, we can atleast eliminate few options -
since Yes for Subject M is 500, the number of students who did not answer Yes to either subjects can be max (800 (total students) minus 500). i.e. max 300.Eliminate D and E.

Kudos [?]: 17 [0], given: 115

Intern
Joined: 27 Dec 2011
Posts: 46

Kudos [?]: 10 [0], given: 71

Location: Brazil
Concentration: Entrepreneurship, Strategy
GMAT 1: 620 Q48 V27
GMAT 2: 680 Q46 V38
GMAT 3: 750 Q50 V41
GPA: 3.5
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

09 Nov 2015, 17:46
I am pretty impressed with the official solution in the GMATprep, which uses 6 equations and a big table to solve this problem! Why they do this?? While this problem is not easy the solution is quite simple: if 200 like only M and the table says that 500 like M in general, then it must be that 300 like M and R. So if 300 like M and R and the table says that 400 like R in general, then it must be that 100 like only R. Since there are 800 students and 200 (only M)+ 100 (only R) + 300 (M and R)= 600 like M or R then 800-600=200 don't like either subject.

Kudos [?]: 10 [0], given: 71

Current Student
Joined: 12 Aug 2015
Posts: 306

Kudos [?]: 459 [0], given: 1474

Concentration: General Management, Operations
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE: Management Consulting (Consulting)
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

22 Nov 2015, 23:13
i cant figure out how does the "unsure" part affect the venn/matrix? kudos in advance
_________________

KUDO me plenty

Kudos [?]: 459 [0], given: 1474

Intern
Joined: 27 Dec 2011
Posts: 46

Kudos [?]: 10 [1] , given: 71

Location: Brazil
Concentration: Entrepreneurship, Strategy
GMAT 1: 620 Q48 V27
GMAT 2: 680 Q46 V38
GMAT 3: 750 Q50 V41
GPA: 3.5
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

23 Nov 2015, 03:34
1
KUDOS
i cant figure out how does the "unsure" part affect the venn/matrix? kudos in advance

Considering what the question is asking, it would be useful to consider only the following sets: people that found M interesting, people that do not found M interesting;people that found R interesting, people that do not found R interesting. Using this line of reasoning, the "Unsure" is included in the "do not found interesting", e.g. people that do not found M interesting = 200+100=300. I can tell you that the unsure is to confuse us; it is put to make the question harder.

Kudos [?]: 10 [1] , given: 71

Intern
Joined: 21 Apr 2016
Posts: 29

Kudos [?]: 7 [0], given: 11

Location: United States
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

16 Jul 2016, 08:17
I'm usually good with Overlapping sets.. however this problem is completely throwing me off...
Looks like we are completely ignoring 'unsure'?
If 500 said Yes to M, but prompt says 200 said Yes to ONLY M.. means 300 said yes to Both M and R. But since prompt says 400 said yes to R, means 100 said yes to ONLY R... I got that far. How do I proceed to find out the # of students who did not answer YES for either? Do I set up a table now and ignore the unsure completely since the prompt isn't really asking about unsures?
------- M (yes):: M (no):: Total
R (yes):: ____ :: 100 :: 400
R (no):: 200 :: _____ :: ____
Total :: 500 :: _____ :: 800
... and then fill out the empty areas and you get ans: 200...

Is this way correct? I'm still not 100% confident I understand this problem..

Kudos [?]: 7 [0], given: 11

Manager
Joined: 23 Jun 2009
Posts: 204

Kudos [?]: 84 [0], given: 138

Location: Brazil
GMAT 1: 470 Q30 V20
GMAT 2: 620 Q42 V33
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

23 Sep 2016, 11:14
My two cents...

The test just put extra info to make it more difficult. It is pretty simple.
Attachments

20160923_151028.jpg [ 4.93 MiB | Viewed 544 times ]

Kudos [?]: 84 [0], given: 138

SVP
Joined: 05 Jul 2006
Posts: 1743

Kudos [?]: 398 [0], given: 49

Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

29 Dec 2016, 03:49
inquisitive wrote:
Bunuel wrote:
nobelgirl777 wrote:
----------------YES---------NO----UNSURE
Subject M----500--------200-----100
Subject R----400--------100-----300

A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either "yes" or "no" or "unsure", and the numbers of students who gave these answers are listed in the table above. If 200 students answered "yes" only for subject M, how many of the students did not answer "yes" for either subject?

A. 100
B. 200
C. 300
D. 400
E. 500

Since 200 students answered "yes" only for subject M, then the remaining 300 students who answered "yes" for subject M, also answered "yes" for subject R. So, 300 students answered "yes" for both subjects.

If 300 students answered "yes" for both subjects, then 400-300=100 students answered "yes" only for subject R.

So, we have that:
200 students answered "yes" only for subject M;
100 students answered "yes" only for subject R;
300 students answered "yes" for both subjects;

Therefore 800-(200+100+300)=200 students did not answer "yes" for either subject.

Hope it's clear.

how did you deduce that the remaining 300 students must have said Yes to Subject R. There can be students who might have said Yes to Subject M and No to R and still be counted towards 500 who said Yes to M. Am I reading the premise wrongly?

for the 500 who said yes to M of which 200 said yes to M only. if the other 300 said yes to M and no or unsure for R , thus those 300 said yes to M only which is not the case

Kudos [?]: 398 [0], given: 49

Intern
Joined: 30 Aug 2016
Posts: 5

Kudos [?]: 0 [0], given: 92

Location: Italy
Schools: HEC Dec"18 (I)
GMAT 1: 700 Q47 V41
GPA: 3.83
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

07 Jan 2017, 06:10
Using the 2-set formula on the first column:

Total = (YES4M) + (YES4R) - Both + Neither

Total = 800

(YES4M) = 500

(YES4R) = 400

Actually, the text already gives you (YES4M) - Both = 200, which means "200 students answered "yes" only for subject M"

So we are left with "Neither" unknown:

800 = 200 + 400 + Neither ---> Neither = 200

Kudos [?]: 0 [0], given: 92

Intern
Joined: 29 Jul 2016
Posts: 1

Kudos [?]: 0 [0], given: 0

Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

04 Apr 2017, 00:52
Why is it all about the YES column while instead the NO and UNSURE are ignored in the calculation ?

Kudos [?]: 0 [0], given: 0

Intern
Joined: 13 Jul 2016
Posts: 9

Kudos [?]: 32 [1] , given: 342

Location: United States
GMAT 1: 750 Q49 V42
GPA: 3.74
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

16 Apr 2017, 10:57
1
KUDOS
This is another solution to this GMAT question. I hope it helps.
Attachments

Solution 1.PNG [ 7.52 KiB | Viewed 285 times ]

Kudos [?]: 32 [1] , given: 342

Chat Moderator
Joined: 04 Aug 2016
Posts: 561

Kudos [?]: 79 [0], given: 135

Location: India
GPA: 4
WE: Engineering (Telecommunications)
Re: A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

01 Jul 2017, 03:58
Bunuel wrote:
nobelgirl777 wrote:
----------------YES---------NO----UNSURE
Subject M----500--------200-----100
Subject R----400--------100-----300

A total of 800 students were asked whether they found two subjects, M and R, interesting. Each answer was either "yes" or "no" or "unsure", and the numbers of students who gave these answers are listed in the table above. If 200 students answered "yes" only for subject M, how many of the students did not answer "yes" for either subject?

A. 100
B. 200
C. 300
D. 400
E. 500

Since 200 students answered "yes" only for subject M, then the remaining 300 students who answered "yes" for subject M, also answered "yes" for subject R. So, 300 students answered "yes" for both subjects.

If 300 students answered "yes" for both subjects, then 400-300=100 students answered "yes" only for subject R.

So, we have that:
200 students answered "yes" only for subject M;
100 students answered "yes" only for subject R;
300 students answered "yes" for both subjects;

Therefore 800-(200+100+300)=200 students did not answer "yes" for either subject.

Hope it's clear.

If I build a Venn diagram for M, R and both only for Yes section. Then I get that 800= 500+400-300 + Neither

So, Neither = 800-600=200.

These students said neither yes for Subject M nor subject R.

Is there any trick in the question which inhibits using Venn diagram (I am considering only the Yes scenario) for this situation since the level is 700+?

Kudos [?]: 79 [0], given: 135

Intern
Joined: 22 Jan 2017
Posts: 22

Kudos [?]: 8 [0], given: 1

A total of 800 students were asked whether they found two subjects, M [#permalink]

### Show Tags

22 Jul 2017, 09:48
I think the difficult part of this problem is organizing the information. The question gives you three different categories for answers and two different groups, which is a deviation from the normal overlapping sets problems that give you either three groups with overlap or two groups that overlap on two different binary factors.

However, notice that the question asks you about "YES" and (essentially) "NOT YES". This means that you can treat this like an overlapping set question in a 2x2 matrix (as has been described above).

If we re-write the matrix in the question for just "YES" and "NOT YES" and the two subjects, it looks like this:

YES NOT YES
Subject M 500 300
Subject R 400 400

We want to find the people who didn't vote yes for either category. More specifically, we want:

Total = (Yes for M) + (Yes for R) - (Yes for BOTH) + NEITHER

NEITHER is what we are looking for and we are given (Yes for M) and (Yes for R) and we need to find (Yes for BOTH) then we will have one variable to solve for. So how many people are in the (Yes for BOTH) category?

Ok so then the question tells you that 200 people answered YES for only Subject M. That means there must be (500-200) = 300 people who voted yes for both of them and so are getting double-counted (I think fozzzy's venn diagram shows this pretty well).

Aside: As others have mentioned you can also use this information to find out how many people voted YES for just Subject R (if that was the question). That figure would be 100.

However, we can now solve for the variable we are looking for:

Total = (Yes for M) + (Yes for R) - (Yes for BOTH) + NEITHER
800 = 500 + 400 - 300 + NEITHER
200 = NEITHER

(B)

Kudos [?]: 8 [0], given: 1

A total of 800 students were asked whether they found two subjects, M   [#permalink] 22 Jul 2017, 09:48

Go to page   Previous    1   2   [ 39 posts ]

Similar topics Replies Last post
Similar
Topics:
6 In a survey, 2000 executives were each asked whether they read newslet 8 12 Jul 2017, 16:33
7 If the Number of students learning exactly two subjects is maximum and 4 15 Aug 2016, 06:02
1 210 college students were asked in a survey if they 4 12 May 2012, 03:22
9 210 college students were asked in a survey if they 17 06 Nov 2016, 03:12
3 210 college students were asked in a survey if they preferre 11 06 Mar 2014, 00:38
Display posts from previous: Sort by