Of the students who eat in a certain cafeteria, each student : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 10:46

# STARTING SOON:

Open Admission Chat with MBA Experts of Personal MBA Coach - Join Chat Room to Participate.

### 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

# Of the students who eat in a certain cafeteria, each student

Author Message
TAGS:

### Hide Tags

Manager
Joined: 07 Oct 2005
Posts: 138
Location: Boston,MA
Followers: 1

Kudos [?]: 111 [4] , given: 0

Of the students who eat in a certain cafeteria, each student [#permalink]

### Show Tags

25 Dec 2007, 06:27
4
KUDOS
16
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

60% (01:39) correct 40% (00:41) wrong based on 463 sessions

### HideShow timer Statistics

Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts. Of these students, 2/3 dislike lima beans; and of those who dislike lima beans, 3/5 also dislike brussels sprouts. How many of the students like brussels sprouts but dislike lima beans?

(1) 120 students eat in the cafeteria
(2) 40 of the students like lima beans

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-students-who-eat-in-a-certain-cafeteria-each-student-95246.html
[Reveal] Spoiler: OA

_________________

--gregspirited

Last edited by Bunuel on 03 Nov 2013, 13:07, edited 1 time in total.
Edited the question and added the OA
Director
Joined: 12 Jul 2007
Posts: 862
Followers: 15

Kudos [?]: 286 [0], given: 0

### Show Tags

25 Dec 2007, 09:38
2/3 dislike lima beans
3/5 of 2/3 dislike brussel sprouts
1/3 like lima beans

1. 120 eat in the cafeteria

from this we know:

80 dislike lima beans
40 like lima beans
48 dislike lima beans AND brussel sprouts

INSUFFICIENT

2. 40 of the students like lima beans

from this we can get all the information we have above. It doesn't add anything new

INSUFFICIENT

together: still insufficient. We know that 2/5 of the 2/3 like brussel sprouts, but we don't know anything about the other 1/3.

Intern
Joined: 14 Dec 2007
Posts: 9
Followers: 0

Kudos [?]: 5 [2] , given: 0

Re: DS - likes and dislikes [#permalink]

### Show Tags

25 Dec 2007, 12:58
2
KUDOS
3
This post was
BOOKMARKED
gregspirited wrote:
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts. Of these studenst, 2/3 students dislike lima beans, and of those who dislike lima beans, 3/5 also dislike brussel sprouts. How many of the students like brussel sprouts but dislike lima beans

1. 120 students eat in the cafeteria
2. 40 of the students like lima beans

I think the answer should be D. Any statement should be sufficient .
Question is saying that " who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts" ==> Every student must like or dislike Beans & Brussle Spruts.==> It is impossible to have few students who neither like nor dislike Brussl . & who neither like nor dislike Lima beans.

Say total no of Students = x

2/3 of them dislike Lima Beans=2x/3 ==> remaining x/3 must like Beans.
3/5 of 2x/3 dislike Brussle Sprouts = 2x/5( Dislike Lima Beans & Brussle Sprouts)==> Remaing ( 2x/3-2x/5) of 2x/3 should like Brussle Sprouts & Dislike Lema Beans.

Implies 4x/15 students Dislike Lema Beans & Likes Brussle Sprouts.

St 1: says x=120 . SUFF to find the value of 4x/15.
St 2: says x/3 =40 . SUFF to find x and then 4x/15.

So it should be D . anyways ,What is the OA??
Manager
Joined: 07 Oct 2005
Posts: 138
Location: Boston,MA
Followers: 1

Kudos [?]: 111 [0], given: 0

Re: DS - likes and dislikes [#permalink]

### Show Tags

25 Dec 2007, 13:11
vemulapalli sravan wrote:
gregspirited wrote:
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts. Of these studenst, 2/3 students dislike lima beans, and of those who dislike lima beans, 3/5 also dislike brussel sprouts. How many of the students like brussel sprouts but dislike lima beans

1. 120 students eat in the cafeteria
2. 40 of the students like lima beans

I think the answer should be D. Any statement should be sufficient .
Question is saying that " who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts" ==> Every student must like or dislike Beans & Brussle Spruts.==> It is impossible to have few students who neither like nor dislike Brussl . & who neither like nor dislike Lima beans.

Say total no of Students = x

2/3 of them dislike Lima Beans=2x/3 ==> remaining x/3 must like Beans.
3/5 of 2x/3 dislike Brussle Sprouts = 2x/5( Dislike Lima Beans & Brussle Sprouts)==> Remaing ( 2x/3-2x/5) of 2x/3 should like Brussle Sprouts & Dislike Lema Beans.

Implies 4x/15 students Dislike Lema Beans & Likes Brussle Sprouts.

St 1: says x=120 . SUFF to find the value of 4x/15.
St 2: says x/3 =40 . SUFF to find x and then 4x/15.

So it should be D . anyways ,What is the OA??

OA is D. This is a GMATPrep question
_________________

--gregspirited

CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
Followers: 11

Kudos [?]: 851 [0], given: 4

Re: DS - likes and dislikes [#permalink]

### Show Tags

21 Feb 2008, 13:39
"who eat in a certain cafeteria, each student either likes or dislikes lima beans and each stident either likes or dislikes brussel sprouts" is quite a distraction. it just means every spot in the matrix is filled and none of them have zero students.
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

Senior Manager
Joined: 20 Dec 2004
Posts: 255
Followers: 6

Kudos [?]: 106 [13] , given: 0

Re: DS - likes and dislikes [#permalink]

### Show Tags

21 Feb 2008, 19:04
13
KUDOS
6
This post was
BOOKMARKED
Thanks to you folks at GMATClub I am now able to solve such problems with the grid approach...

Attachment:

grid.JPG [ 49.31 KiB | Viewed 23098 times ]

Attachments

grid.xls [15 KiB]

_________________

Stay Hungry, Stay Foolish

SVP
Joined: 28 Dec 2005
Posts: 1575
Followers: 3

Kudos [?]: 147 [0], given: 2

Re: DS - likes and dislikes [#permalink]

### Show Tags

21 Feb 2008, 20:03
double matrix gives me D

4 column: likes beans, dislike beans and likes sprouts, dislikes sprouts. Let total number of students =x. From the stem, we know that total of those who dislike lima beans is 2x/3, therefore, total of those who like lima beans must be x/3

We are also told that those who dislike lima beans and sprouts is 2x/5 .... therefore, those who like sprouts but dislike beans is 2x/3-2x/5 = 4x/15. This is the quantity that we want to find out. All we need to know is 'x'

stat 1 tells us x =120. We can find out what 4x/15 is. Suff.

stat 2 tells us that x/3 = 40, so we can find out x and then 4x/15. Suff.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13437
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Of the students who eat in a certain cafeteria, each student [#permalink]

### Show Tags

03 Nov 2013, 12:24
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36548
Followers: 7076

Kudos [?]: 93090 [0], given: 10552

Re: Of the students who eat in a certain cafeteria, each student [#permalink]

### Show Tags

03 Nov 2013, 13:08
OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-students-who-eat-in-a-certain-cafeteria-each-student-95246.html
_________________
Re: Of the students who eat in a certain cafeteria, each student   [#permalink] 03 Nov 2013, 13:08
Similar topics Replies Last post
Similar
Topics:
9 Of the 250 students in a certain class, each student who majors in 6 08 Jul 2015, 04:35
3 If each of the students in a certain mathematics class is 3 23 Aug 2010, 07:54
89 Of the students who eat in a certain cafeteria, each student 25 03 Jun 2010, 23:29
4 Each of the 105 students in a certain club is either a freshman, sopho 4 04 Feb 2008, 13:58
16 Each of the students in a certain class received a single 13 03 Jun 2007, 02:08
Display posts from previous: Sort by