Sets tough Problem Try it...... : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 18 Jan 2017, 05:15

### 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

# Events & Promotions

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

# Sets tough Problem Try it......

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

### Hide Tags

Director
Joined: 28 Jul 2011
Posts: 563
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 3

Kudos [?]: 211 [0], given: 16

Sets tough Problem Try it...... [#permalink]

### Show Tags

03 Jan 2012, 04:48
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

XYZ Tech is an IT company with 100 employees who all are software developers.The ratio of developers working on Java to developers working on PHP is 5:3.The ratio of developers working on PHP to developers working on Java and PHP is 6:4.The ratio of developers working on PHP to developers not working on Java and PHP is 3:1.

Find.
1. How many developers work only on Java?
2. How many developers work only on PHP?
3. How many developers work only on both Java and PHP?
4. How many developers neither work on Java nor PHP?

Answers for the 4 questions are
1.50
2.10
3.20
4.10
_________________

+1 Kudos If found helpful..

Current Student
Joined: 01 Jan 2012
Posts: 26
Location: United States
Concentration: Strategy, General Management
GMAT 1: 720 Q49 V40
GPA: 3.76
WE: Engineering (Consulting)
Followers: 0

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

Re: Sets tough Problem Try it...... [#permalink]

### Show Tags

03 Jan 2012, 10:13
Still working on figuring out the right answer but the answers posted cannot be correct. They total number of employees in the answers you gave add up to 90 and the total number of employees is 100 will work on the answer and get back to you on that.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7121
Location: Pune, India
Followers: 2132

Kudos [?]: 13636 [0], given: 222

Re: Sets tough Problem Try it...... [#permalink]

### Show Tags

04 Jan 2012, 00:24
kotela wrote:
XYZ Tech is an IT company with 100 employees who all are software developers.The ratio of developers working on Java to developers working on PHP is 5:3.The ratio of developers working on PHP to developers working on Java and PHP is 6:4.The ratio of developers working on PHP to developers not working on Java and PHP is 3:1.

Find.
1. How many developers work only on Java?
2. How many developers work only on PHP?
3. How many developers work only on both Java and PHP?
4. How many developers neither work on Java nor PHP?

Answers for the 4 questions are
1.50
2.10
3.20
4.10

There is a problem with the numbers given (as pointed out in the post above). The solution would look something like this:

Ratio of developers working on Java:developers working on PHP = 5:3
Ratio of developers working on PHP:developers working on both = 6:4 = 3:2
Ratio of developers working on PHP:developers not working on Java and PHP = 3:1

Ratio of developers working on Java:developers working on PHP:developers working on both:developers working on neither Java nor PHP = 5:3:2:1

Say, developers working on Java is 5n. Then developers working on PHP is 3n, developers working on both is 2n and developers working on neither is n.

100 - n = 5n + 3n - 2n
100 = 7n
n cannot be a non-integral value since it represents the number of people. This is the problem with the numbers here. Either total number of people cannot be 100 or some of the ratios are incorrect.
Once we get n, it is straightforward to find everything needed.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Manager
Joined: 29 Jul 2011
Posts: 107
Location: United States
Followers: 5

Kudos [?]: 58 [0], given: 6

Re: Sets tough Problem Try it...... [#permalink]

### Show Tags

04 Jan 2012, 11:57
I won't provide a complete numerical solution, but will give equations to work with.

First, let number of only Java = x, number of only PHP = y, number of Java + PHP = z

First ratio: J:P = 5:3 -> (x+z)/(y+z) = 5/3
Second ratio: P:(J+P) = 6:4 -> (y+z)/z = 6/4
Third ratio: P: !(J+P) = 3:1 -> (y+z)/[100-(x+y+z)] = 3/1

May be try solving the above equations. However, Karishma's explanation sounds easier. I tried to solve it in Venn diagram form.
_________________

I am the master of my fate. I am the captain of my soul.
Please consider giving +1 Kudos if deserved!

DS - If negative answer only, still sufficient. No need to find exact solution.
PS - Always look at the answers first
CR - Read the question stem first, hunt for conclusion
SC - Meaning first, Grammar second
RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min

Director
Joined: 28 Jul 2011
Posts: 563
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Followers: 3

Kudos [?]: 211 [0], given: 16

Re: Sets tough Problem Try it...... [#permalink]

### Show Tags

04 Jan 2012, 17:11
VeritasPrepKarishma wrote:
kotela wrote:
XYZ Tech is an IT company with 100 employees who all are software developers.The ratio of developers working on Java to developers working on PHP is 5:3.The ratio of developers working on PHP to developers working on Java and PHP is 6:4.The ratio of developers working on PHP to developers not working on Java and PHP is 3:1.

Find.
1. How many developers work only on Java?
2. How many developers work only on PHP?
3. How many developers work only on both Java and PHP?
4. How many developers neither work on Java nor PHP?

Answers for the 4 questions are
1.50
2.10
3.20
4.10

There is a problem with the numbers given (as pointed out in the post above). The solution would look something like this:

Ratio of developers working on Java:developers working on PHP = 5:3
Ratio of developers working on PHP:developers working on both = 6:4 = 3:2
Ratio of developers working on PHP:developers not working on Java and PHP = 3:1

Ratio of developers working on Java:developers working on PHP:developers working on both:developers working on neither Java nor PHP = 5:3:2:1

Say, developers working on Java is 5n. Then developers working on PHP is 3n, developers working on both is 2n and developers working on neither is n.

100 - n = 5n + 3n - 2n
100 = 7n
n cannot be a non-integral value since it represents the number of people. This is the problem with the numbers here. Either total number of people cannot be 100 or some of the ratios are incorrect.
Once we get n, it is straightforward to find everything needed.

Thanks you made it look simple.......

+1 Kudos for you
_________________

+1 Kudos If found helpful..

Manager
Status: MBA Aspirant
Joined: 12 Jun 2010
Posts: 178
Location: India
Concentration: Finance, International Business
WE: Information Technology (Investment Banking)
Followers: 3

Kudos [?]: 79 [0], given: 1

Re: Sets tough Problem Try it...... [#permalink]

### Show Tags

04 Jan 2012, 20:24
VeritasPrepKarishma wrote:
kotela wrote:
XYZ Tech is an IT company with 100 employees who all are software developers.The ratio of developers working on Java to developers working on PHP is 5:3.The ratio of developers working on PHP to developers working on Java and PHP is 6:4.The ratio of developers working on PHP to developers not working on Java and PHP is 3:1.

Find.
1. How many developers work only on Java?
2. How many developers work only on PHP?
3. How many developers work only on both Java and PHP?
4. How many developers neither work on Java nor PHP?

Answers for the 4 questions are
1.50
2.10
3.20
4.10

There is a problem with the numbers given (as pointed out in the post above). The solution would look something like this:

Ratio of developers working on Java:developers working on PHP = 5:3
Ratio of developers working on PHP:developers working on both = 6:4 = 3:2
Ratio of developers working on PHP:developers not working on Java and PHP = 3:1

Ratio of developers working on Java:developers working on PHP:developers working on both:developers working on neither Java nor PHP = 5:3:2:1

Say, developers working on Java is 5n. Then developers working on PHP is 3n, developers working on both is 2n and developers working on neither is n.

100 - n = 5n + 3n - 2n
100 = 7n
n cannot be a non-integral value since it represents the number of people. This is the problem with the numbers here. Either total number of people cannot be 100 or some of the ratios are incorrect.
Once we get n, it is straightforward to find everything needed.

I used the below approach.

let number of only Java = x, number of only PHP = z, number of Java + PHP = y

so acc to the question:

(x+y)/(y+z) = 5/3
(y+z)/y = 6/4
(z+y)/z = 3/1

on solving the above 3 equations we get
x=3z, y=2z and z

so x+y+z = 100 => 6z = 100

for the first question we have to get the value of x => 3*50/3 = 50
but for the remaining question I am getting answers in farctions.

I think the question is not correct. Correct me if I am wrong.
Re: Sets tough Problem Try it......   [#permalink] 04 Jan 2012, 20:24
Similar topics Replies Last post
Similar
Topics:
1 average problem tough 1 18 May 2011, 14:12
3 Really Tough Number Theory Problem 11 19 Apr 2010, 06:38
2 Tough problem from tests 6 16 Dec 2009, 04:08
436 TOUGH & TRICKY SET Of PROBLEMS 165 12 Oct 2009, 08:22
8 Tough and tricky 4: addition problem 9 11 Oct 2009, 16:42
Display posts from previous: Sort by

# Sets tough Problem Try it......

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

 Powered by phpBB © phpBB Group and phpBB SEO 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®.