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

It is currently 15 Aug 2018, 15:40

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

The ratio of the number of boys to the number of girls in Wa

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

Hide Tags

Intern
Intern
avatar
Joined: 04 Jul 2013
Posts: 16
Location: Switzerland
Concentration: General Management, Sustainability
GMAT 1: 690 Q46 V35
WE: Information Technology (Consulting)
GMAT ToolKit User
The ratio of the number of boys to the number of girls in Wa  [#permalink]

Show Tags

New post Updated on: 03 Mar 2014, 07:51
1
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (01:14) correct 27% (01:24) wrong based on 191 sessions

HideShow timer Statistics

The ratio of the number of boys to the number of girls in Washington High School is 5:3. What is the number of teachers in the school?

(1) In the same school, the ratio of the number of girls to the number of teachers is 4:17

(2) There are less than 55 teachers in the school

Originally posted by dennis14 on 03 Mar 2014, 07:48.
Last edited by Bunuel on 03 Mar 2014, 07:51, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47920
Re: The ratio of the number of boys to the number of girls in Wa  [#permalink]

Show Tags

New post 03 Mar 2014, 07:59
The ratio of the number of boys to the number of girls in Washington High School is 5:3. What is the number of teachers in the school?

Boys:Girls = 5:3.

(1) In the same school, the ratio of the number of girls to the number of teachers is 4:17.

Girls:Teachers = 4:17 = 12:51;
Boys:Girls = 5:3 = 20:12 (from the stem).

Boys:Girls:Teachers = 20:12:51. So, we know that the number of teachers must be a multiple of 51. Not sufficient.

(2) There are less than 55 teachers in the school. Clearly insufficient.

(1)+(2) The least positive multiple of 51 less than 55 is 51, thus there are 51 teachers. Sufficient.

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 04 Jul 2013
Posts: 16
Location: Switzerland
Concentration: General Management, Sustainability
GMAT 1: 690 Q46 V35
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: The ratio of the number of boys to the number of girls in Wa  [#permalink]

Show Tags

New post 03 Mar 2014, 08:23
The problem i had in this question is that What if the school has

15 boys , 8 girls and 34 teachers ? But now i see that its not possible.

Thanks,
Den
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7711
Premium Member
Re: The ratio of the number of boys to the number of girls in Wa  [#permalink]

Show Tags

New post 04 Dec 2017, 06:36
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: The ratio of the number of boys to the number of girls in Wa &nbs [#permalink] 04 Dec 2017, 06:36
Display posts from previous: Sort by

The ratio of the number of boys to the number of girls in Wa

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

Events & Promotions

PREV
NEXT


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®.