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

It is currently 16 Dec 2018, 05:30

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics

Which school out of school A and school B has greater number of boys?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

DS Forum Moderator
avatar
P
Joined: 21 Aug 2013
Posts: 1412
Location: India
Premium Member
Which school out of school A and school B has greater number of boys?  [#permalink]

Show Tags

New post 27 Jun 2018, 21:08
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

56% (01:39) correct 44% (01:35) wrong based on 53 sessions

HideShow timer Statistics

Which school out of school A and school B has greater number of boys?

(1) Ratio of boys to girls in school A is less than ratio of boys to girls in school B.

(2) Girls in school A are more than girls in school B.
Intern
Intern
avatar
B
Joined: 21 May 2017
Posts: 42
Which school out of school A and school B has greater number of boys?  [#permalink]

Show Tags

New post Updated on: 28 Jun 2018, 00:24
amanvermagmat wrote:
Which school out of school A and school B has greater number of boys?

(1) Ratio of boys to girls in school A is less than ratio of boys to girls in school B.

(2) Girls in school A are more than girls in school B.
Answer is E.

Let boys in school A be b1 and girls in school A be g1.
Let boys in school B be b2 and girls in school B be g2.
We need to prove either b1>b2 or b1<b2.

Statement1
Let b1=4, g1=12, b2=2, g2=3
b1/g1 = 1/3
b2/g2 = 2/3
b1/g1 < b2/g2
We have b1 > b2

Now let's take b1=4, g1=12, b2=8, g2=12
b1/g1 = 1/3
b2/g2 = 2/3
b1/g1 < b2/g2
But, we have b1 < b2 this time.

So, statement 1 is insufficient.

Statement2
We know nothing about the number of boys. So, insufficient.

Statement1 & Statement2

We are given that b1/g1 < b2/g2 and g1>g2
b1/g1 < b2/g2
Let's multiply both sides by g1 (a positive integer)
b1 < b2 *g1/g2

And since g1>g2, we get g1/g2 > 1
Therefore,
b1 < b2*(something greater than 1)
Even now we cannot say which one is greater, b1 or b2.
Insufficient.

Edit: I misread Statement1, so updated.

Originally posted by ankitsaroha on 27 Jun 2018, 21:42.
Last edited by ankitsaroha on 28 Jun 2018, 00:24, edited 3 times in total.
Intern
Intern
avatar
B
Joined: 23 Jun 2018
Posts: 5
Which school out of school A and school B has greater number of boys?  [#permalink]

Show Tags

New post 28 Jun 2018, 00:03
The answer should be 'E' in my opinion

Statement 1 is insufficient as we don't know the exact number of students in each case
Statement 2 is insufficient as it doesn't mention any info about the number of boys.

Combining statement 1 and 2
b1/g1<b2/g2 and g1>g2

multiplying g1 on both sides,
b1<b2*g1/g2

here, g1/g2>1 (as g1>g2)

either b1<b2 or b1>b2 (as b2*1.something can be grater than b1 which will still hold the case to be true)
hence insufficient
GMAT Club Bot
Which school out of school A and school B has greater number of boys? &nbs [#permalink] 28 Jun 2018, 00:03
Display posts from previous: Sort by

Which school out of school A and school B has greater number of boys?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.