GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 25 Sep 2018, 22:41

### 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

# Among 400 students, 56% study sociology, 44% study

Author Message
Current Student
Joined: 11 May 2008
Posts: 549
Among 400 students, 56% study sociology, 44% study  [#permalink]

### Show Tags

30 Jul 2008, 11:00
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
SVP
Joined: 07 Nov 2007
Posts: 1707
Location: New York

### Show Tags

30 Jul 2008, 11:21
arjtryarjtry wrote:
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188

I got C. will explain if it is correct.
_________________

Smiling wins more friends than frowning

Director
Joined: 27 May 2008
Posts: 530

### Show Tags

30 Jul 2008, 11:23
1
arjtryarjtry wrote:
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188

I'm feeling sleepy and i DO NOT recommend solving question this way..... but lets try

first two options are trap options ... becuase problem is in % but we have to answer number of students.... lets look at these "trap" options ..... 90 is too much .... can not ... in all probabbilities ...30 is the trap option .... so if you make venn diagram with %... most probably you'll endup with 30 ..... exactly why its the first option....

but we are smart .... we know its a trap but test writer has already solved the % and gave it to us in a platter ...

number of studenst will be 400 * 30% = 120 ... option C
SVP
Joined: 07 Nov 2007
Posts: 1707
Location: New York

### Show Tags

30 Jul 2008, 11:45
arjtryarjtry wrote:
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188

Fastest way.. is.
40% study biology (400 *0.40) .. max 160
eliminate D and E

If we see the question all % are .. whole numbers (56%, 44% .. etc)..
when we solve it will lead whole % ... say may be 30% 22%... not 21.5%..
So, option A (30), B(90) divided by 4 --> leads to fraction number 7.5% 22.5%..
A, B -- 30, 90
eliminate A and B.

C is left.

I solved it using vendiagram too...

It leads to 30% --> 400 *.30 --> 120
_________________

Smiling wins more friends than frowning

VP
Joined: 17 Jun 2008
Posts: 1265

### Show Tags

03 Aug 2008, 09:20
arjtryarjtry wrote:
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188

Tedious calculations and ended up with C is there any easy way out
_________________

cheers
Its Now Or Never

VP
Joined: 17 Jun 2008
Posts: 1265

### Show Tags

03 Aug 2008, 09:22
x2suresh wrote:
arjtryarjtry wrote:
Among 400 students, 56% study sociology, 44% study mathematics and 40% study biology. If 30% of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?

A. 30
B. 90
C. 120
D. 172
E. 188

Fastest way.. is.
40% study biology (400 *0.40) .. max 160
eliminate D and E

If we see the question all % are .. whole numbers (56%, 44% .. etc)..
when we solve it will lead whole % ... say may be 30% 22%... not 21.5%..
So, option A (30), B(90) divided by 4 --> leads to fraction number 7.5% 22.5%..
A, B -- 30, 90
eliminate A and B.

C is left.

I solved it using vendiagram too...

It leads to 30% --> 400 *.30 --> 120

This is a smart way but often risky
_________________

cheers
Its Now Or Never

Non-Human User
Joined: 09 Sep 2013
Posts: 8194
Re: Among 400 students, 56% study sociology, 44% study  [#permalink]

### Show Tags

11 Nov 2017, 11:28
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.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Re: Among 400 students, 56% study sociology, 44% study &nbs [#permalink] 11 Nov 2017, 11:28
Display posts from previous: Sort by

# Among 400 students, 56% study sociology, 44% study

Moderator: chetan2u

## Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.