Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 16:39

### 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

# Events & Promotions

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

# A box contains bags of marbles. All of the bags hold the

Author Message
TAGS:

### Hide Tags

Senior Manager
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 326
Followers: 1

Kudos [?]: 505 [1] , given: 193

A box contains bags of marbles. All of the bags hold the [#permalink]

### Show Tags

24 Oct 2010, 12:50
1
KUDOS
7
This post was
BOOKMARKED
00:00

Difficulty:

65% (hard)

Question Stats:

60% (03:09) correct 40% (02:26) wrong based on 226 sessions

### HideShow timer Statistics

A box contains bags of marbles. All of the bags hold the same number of marbles except one bag, which holds one marble more than each of the other bags hold. If the box contains a total of 2001 marbles, how many bags are in the box?

(1) The number of bags is between 13 and 23 inclusive

(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble.
[Reveal] Spoiler: OA

_________________

I'm the Dumbest of All !!

Math Expert
Joined: 02 Sep 2009
Posts: 38858
Followers: 7728

Kudos [?]: 106046 [6] , given: 11607

### Show Tags

24 Oct 2010, 13:04
6
KUDOS
Expert's post
1
This post was
BOOKMARKED
shrive555 wrote:
A box contains bags of marbles. All of the bags hold the same number of marbles except one bag, which holds one marble more than each of the other bags hold. If the box contains a total of 2001 marbles, how many bags are in the box?

(1) The number of bags is between 13 and 23 inclusive

(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble.

Let the # of begs be $$b$$ and the number of marbles in each but the last one be $$m$$, then total # of marbles will be $$mb+1=2001$$ --> $$mb=2000$$. Question: $$b=?$$

(1) The number of bags is between 13 and 23 inclusive --> $$13\leq{b}\leq{23}$$ --> $$mb=2000=2^4*5^3$$ --> $$b$$ equals to $$2^4=16$$ or $$2^2*5=20$$. Not sufficient.

(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble --> $$b=even$$ and $$m+1=even$$ --> $$m=odd$$: clearly insufficient: 5*400 or 1*2000.

(1)+(2) As from (2) $$m=odd$$ then from (1) $$b$$ can take only one value: 16 (if $$b=20$$ then $$m=100=even$$). Sufficient.

_________________
Senior Manager
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 326
Followers: 1

Kudos [?]: 505 [0], given: 193

### Show Tags

24 Oct 2010, 13:12
Bunel : i wish if i could think like you
_________________

I'm the Dumbest of All !!

Moderator
Joined: 02 Jul 2012
Posts: 1223
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 124

Kudos [?]: 1484 [1] , given: 116

Re: A box contains bags of marbles [#permalink]

### Show Tags

28 Oct 2012, 22:46
1
KUDOS
1
This post was
BOOKMARKED
kapsycumm wrote:
A box contains bags of marbles. All of the bags hold the same number of marbles except one bag, which holds one marble more than each of the other bags hold. If the box contains a total of 2001 marbles, how many bags are in the box?

(1) The number of bags is between 13 and 23 inclusive

(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble.

The number of bags should be a factor of 2000.

1) It could be 16 or 20. Insufficient

2) It could be 16 or 400. Insufficient.

1 & 2 together. Only 16 satisfies both.

Kudos Please... If my post helped.
_________________

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

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7372
Location: Pune, India
Followers: 2287

Kudos [?]: 15099 [2] , given: 224

Re: A box contains bags of marbles [#permalink]

### Show Tags

28 Oct 2012, 23:24
2
KUDOS
Expert's post
2
This post was
BOOKMARKED
kapsycumm wrote:
A box contains bags of marbles. All of the bags hold the same number of marbles except one bag, which holds one marble more than each of the other bags hold. If the box contains a total of 2001 marbles, how many bags are in the box?

(1) The number of bags is between 13 and 23 inclusive

(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble.

Following would be your chain of thought:

All bags have the same number of marbles except 1 bag which has 1 marble extra. There are 2001 marbles. If you discard that one extra marble, 2000 marbles must be equally distributed among n bags. So number of bags must be a factor of 2000 e.g. if there are 200 bags, each bag will have 10 marbles now. If there are 20 bags, each bag will have 100 marbles now etc. Basically, 2000 is to be split up into two factors: number of bags and number of marbles.

$$2000 = 2^4 * 5^3$$

(1) The number of bags is between 13 and 23 inclusive
No of bags could be 16 (in which case each bag has 125 marbles except one bag with 126 marbles)
No of bags could be 20 (in which case each bag has 100 marbles except one bag with 101 marbles)
There are no other factors of 2000 between 13 and 23.
Not sufficient.

(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble
The bag with the extra marble has even number of marbles so that bags with the same number of marbles must have an odd number of marbles.
If number of marbles are odd, when we split 2000 in 2 factors, all 2s should go in the 'number of bags' factor.
No of bags could be 16 (in which case each bag has 125 marbles except one bag with 126 marbles)
No of bags could be 16*5 (in which case each bag has 25 marbles except one bag with 26 marbles)
No of bags could be 16*5*5 (in which case each bag has 5 marbles except one bag with 6 marbles)
Not sufficient.

Using both, we see that only 16 is common between the statements. Hence, number of bags must be 16.

_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

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

Veritas Prep Reviews

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15431
Followers: 649

Kudos [?]: 207 [0], given: 0

Re: A box contains bags of marbles. All of the bags hold the [#permalink]

### Show Tags

12 Jun 2015, 08:47
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 Club Legend
Joined: 09 Sep 2013
Posts: 15431
Followers: 649

Kudos [?]: 207 [0], given: 0

Re: A box contains bags of marbles. All of the bags hold the [#permalink]

### Show Tags

04 May 2017, 18:23
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 box contains bags of marbles. All of the bags hold the   [#permalink] 04 May 2017, 18:23
Similar topics Replies Last post
Similar
Topics:
If a marble is selected at random from a bag containing only red and 1 15 May 2017, 19:22
5 What is the ratio of green marbles to red marbles in the bag? 2 03 Mar 2016, 09:50
2 Tracy has 3 bags of marbles, each bag containing at least 1 blue marbl 2 22 Dec 2015, 01:58
5 A bag contains black and white marbles. How many white marbles are the 6 27 Jul 2015, 04:40
1 Each marble in a bag is either black or white. How many white marbles 1 07 Dec 2014, 05:14
Display posts from previous: Sort by