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

 It is currently 25 Mar 2019, 11:13

### 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

# A certain company has 500 employees split among three divisions, such

Author Message
TAGS:

### Hide Tags

Board of Directors
Joined: 01 Sep 2010
Posts: 3366
A certain company has 500 employees split among three divisions, such  [#permalink]

### Show Tags

05 Mar 2012, 18:12
00:00

Difficulty:

85% (hard)

Question Stats:

14% (01:42) correct 86% (02:10) wrong based on 28 sessions

### HideShow timer Statistics

A certain company has 500 employees split among three divisions, such that there are at least 100 employees in each division. An \$8,000,000 benefits budget is to be distributed among the three divisions, and a division will be considered underfunded if it receives no more than \$10,000 per employee, and overfunded if it receives at least \$40,000 per employee. How many divisions of the company are overfunded?

(1) If the amounts assigned to each division are rearranged such that each division receives an amount that had been assigned to another division, there is no possible rearrangement in which any division is underfunded.

(2) If the amounts assigned to each division are rearranged such that each division receives an amount that had been assigned to another division, there is no possible rearrangement in which any division is overfunded.

_________________
Senior Manager
Joined: 13 Aug 2012
Posts: 419
Concentration: Marketing, Finance
GPA: 3.23
Re: A certain company has 500 employees split among three divisions, such  [#permalink]

### Show Tags

01 Dec 2012, 23:28
I am praying that this is no GMAT question. I'm guessing E because we don't know the the actual distribution of the budget over the division.
_________________
Impossible is nothing to God.
VP
Joined: 02 Jul 2012
Posts: 1161
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: A certain company has 500 employees split among three divisions, such  [#permalink]

### Show Tags

02 Dec 2012, 04:18
1
carcass wrote:
A certain company has 500 employees split among three divisions, such that there are at least 100 employees in each division. An \$8,000,000 benefits budget is to be distributed among the three divisions, and a division will be considered underfunded if it receives no more than \$10,000 per employee, and overfunded if it receives at least \$40,000 per employee. How many divisions of the company are overfunded?

1) If the amounts assigned to each division are rearranged such that each division receives an amount that had been assigned to another division, there is no possible rearrangement in which any division is underfunded.

2) If the amounts assigned to each division are rearranged such that each division receives an amount that had been assigned to another division, there is no possible rearrangement in which any division is overfunded.

Really Tough

Really really tough. Would be best to just guess on these types of questions and move on. Anyway, my explanation AFTER seeing the answer is

1) After shuffling, we know each division was given more than 1,000,000. The maximum number of people possible in a group is 300. So this group must have got more than 3,000,000. If one another group got just more than 1,000,000, then the 3rd group would have got more than 3,000,000 (Since there are no arrangements to make the first group underfunded) and less than 4,000,000.

Let groups be A,B & C and amounts initially assigned be a,b & c. So, after shuffling, I should be able to assign both b & c to A such that A is not underfunded. That is after shuffling, other than the amount assigned to A, there should be one more amount as well which if assigned to A does not make it underfunded.

So none of the groups were overfunded.

Took me a good 10 minutes to work this out even after seeing the answer and I still am not sure if I'm right.
_________________
Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types
Non-Human User
Joined: 09 Sep 2013
Posts: 10207
Re: A certain company has 500 employees split among three divisions, such  [#permalink]

### Show Tags

22 Oct 2018, 05:28
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.
_________________
Re: A certain company has 500 employees split among three divisions, such   [#permalink] 22 Oct 2018, 05:28
Display posts from previous: Sort by

# A certain company has 500 employees split among three divisions, such

 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®.