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

It is currently 24 Mar 2017, 11:10

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

Events & Promotions in June
Open Detailed Calendar

A factory producing tennis balls stores them in either big

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

Hide Tags

SVP
SVP
avatar
Joined: 04 May 2006
Posts: 1923
Schools: CBS, Kellogg
Followers: 23

Kudos [?]: 1066 [0], given: 1

Premium Member
A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 27 May 2008, 22:17
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

53% (02:10) correct 47% (01:06) wrong based on 312 sessions

HideShow timer Statistics

A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 17 balls per box. If 95 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?

A. 1
B. 2
C. 3
D. 4
E. 5

M18-05
[Reveal] Spoiler: OA

_________________

GMAT Club Premium Membership - big benefits and savings

Director
Director
avatar
Joined: 14 Aug 2007
Posts: 733
Followers: 10

Kudos [?]: 190 [0], given: 0

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 27 May 2008, 22:27
sondenso wrote:
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 17 balls per box. If 95 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?


1
2
3
4
5


25*3 + 17 = 92 so C.3 should be the answer
Manager
Manager
User avatar
Joined: 24 Apr 2008
Posts: 162
Followers: 1

Kudos [?]: 43 [0], given: 0

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 27 May 2008, 22:37
I think we can put that as 25X1+17X4=93 hence 2 is the answer ; I tried by checking for 94, 93 from the answer options and think is the quickest (took 1 min)
Manager
Manager
avatar
Joined: 21 Mar 2008
Posts: 81
Followers: 1

Kudos [?]: 14 [0], given: 0

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 27 May 2008, 22:39
alpha_plus_gamma wrote:
sondenso wrote:
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 17 balls per box. If 95 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?


1
2
3
4
5


25*3 + 17 = 92 so C.3 should be the answer


I think the answer is B - 2. 25*1 + 17*4 = 93. I don't think there's an quick way example plug in numbers starting with multiples of 25.
Director
Director
avatar
Joined: 14 Aug 2007
Posts: 733
Followers: 10

Kudos [?]: 190 [0], given: 0

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 27 May 2008, 22:41
lucyqin wrote:
alpha_plus_gamma wrote:
sondenso wrote:
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 17 balls per box. If 95 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?


1
2
3
4
5


25*3 + 17 = 92 so C.3 should be the answer


I think the answer is B - 2. 25*1 + 17*4 = 93. I don't think there's an quick way example plug in numbers starting with multiples of 25.


yes B should be right, my mistake!
Director
Director
avatar
Joined: 23 Sep 2007
Posts: 789
Followers: 5

Kudos [?]: 188 [0], given: 0

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 27 May 2008, 22:42
why not 0

the question does not state that the boxes have to be full.
SVP
SVP
avatar
Joined: 04 May 2006
Posts: 1923
Schools: CBS, Kellogg
Followers: 23

Kudos [?]: 1066 [0], given: 1

Premium Member
Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 28 May 2008, 00:16
Thanks all, Oa is B

alpha_plus_gamma wrote:
25*3 + 17 = 92 so C.3 should be the answer


In theory, I think maximum 3 times 25, and then force times of 17 as above. But this question does not follow the theory? What do you think? Thanks!
_________________

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
User avatar
Joined: 11 Apr 2008
Posts: 128
Location: Chicago
Followers: 1

Kudos [?]: 50 [0], given: 0

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 28 May 2008, 10:58
gmatnub wrote:
why not 0

the question does not state that the boxes have to be full.


I agree, this question is worded horribly. You could fill the 75 balls into 3 of the large boxes and then put the remaining 20 balls into another large box and still have room for 5 more balls. Answer should be zero. Now, if they asked what is the least number of boxes that could be used, that would make more sense.
_________________

Factorials were someone's attempt to make math look exciting!!!

2 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 22 Sep 2005
Posts: 276
Followers: 1

Kudos [?]: 199 [2] , given: 1

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 28 May 2008, 12:27
2
This post received
KUDOS
B

We have to work with multiples of 17 and 25.

First, we must know the limits of this multiples, so:
95/25= 3....so the max is 3
95/17=5...so the max is 5

If we have 3 boxes of 25 (75 u1) and 1 box of 17 (75+17=92) we have 3 balls out. (95-92)

This is a trap, because as I said before we must work with

17 25
34 50
51 75
68 100
85
102 NOT

Here, you can see that 68+25=93, so we have 2 balls out, so B.
Director
Director
avatar
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 543
Location: India
GMAT 1: 640 Q43 V34
GMAT 2: 630 Q47 V29
WE: Information Technology (Computer Software)
Followers: 3

Kudos [?]: 61 [0], given: 562

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 21 Feb 2013, 06:26
Do we have any algebraic soln to this ? It took me 2:29 mins to solve this by plugging in numbers and testing cases?
_________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992

Current Student
User avatar
Joined: 06 Sep 2013
Posts: 2030
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 65

Kudos [?]: 622 [0], given: 355

GMAT ToolKit User
Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 17 Oct 2013, 16:44
sondenso wrote:
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 17 balls per box. If 95 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?

A. 1
B. 2
C. 3
D. 4
E. 5


Do we have a nice and elegant approach for solving this one? Tried first with 17*4 = 91. Then since I thought it was too easy gave it a second shot with 25*3 + 17 = 92. But I wasn't expecting 2 as the answer. Very tricky

Will provide Kudos for some nice and short approaches
Cheers
J :)
Intern
Intern
avatar
Joined: 26 Sep 2012
Posts: 37
Followers: 0

Kudos [?]: 26 [0], given: 46

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 05 Jul 2014, 02:14
jlgdr wrote:
sondenso wrote:
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 17 balls per box. If 95 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?

A. 1
B. 2
C. 3
D. 4
E. 5


Do we have a nice and elegant approach for solving this one? Tried first with 17*4 = 91. Then since I thought it was too easy gave it a second shot with 25*3 + 17 = 92. But I wasn't expecting 2 as the answer. Very tricky

Will provide Kudos for some nice and short approaches
Cheers
J :)


The only "fast" approach identified by me is the following:

1. Put possible combinations in two columns:

17 25
34 50
68 75
85

2. Start picking two units digits from each row to get the greatest possible unit digit in the possible final combinations (descending order) - 94 -> 93 -> 92 > 91 -> 90

in 94 it is 4 => 50 + 34 -> no
in 93 it is 3 => 25 + 68 = 93, got it!
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 14393
Followers: 604

Kudos [?]: 174 [0], given: 0

Premium Member
Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 01 Jan 2017, 14:46
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

Expert Post
Math Expert
User avatar
G
Joined: 02 Sep 2009
Posts: 37574
Followers: 7395

Kudos [?]: 99373 [0], given: 11022

Re: A factory producing tennis balls stores them in either big [#permalink]

Show Tags

New post 02 Jan 2017, 04:53
sondenso wrote:
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 17 balls per box. If 95 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?

A. 1
B. 2
C. 3
D. 4
E. 5


There is no way to store 94 balls without leftovers: \(94 - 0*25 = 94\), \(94 - 1*25 = 69\), \(94 - 2*25 = 44\), \(94 - 3*25 = 19\) are not divisible by 17.

93 balls can be stored successfully: \(93 - 1*25 = 68\) is divisible by 17. Thus, \(93 = 1*25 + 4*17\) and we need 1 big box and 4 small boxes.


Answer: B
_________________

New to the Math Forum?
Please read this: 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

Re: A factory producing tennis balls stores them in either big   [#permalink] 02 Jan 2017, 04:53
    Similar topics Author Replies Last post
Similar
Topics:
6 Experts publish their posts in the topic A factory produces x widgets per day. The factory's fixed costs are $8 Bunuel 4 06 Feb 2015, 07:43
2 Tennis Balls are to be placed in nine buckets fameatop 5 27 Jul 2013, 00:19
Experts publish their posts in the topic A sports retailer ordered white and yellow tennis balls antoxavier 2 21 Feb 2013, 08:15
34 In a factory that produces computer circuit boards, 4.5 perseverant 12 18 May 2010, 16:59
69 Experts publish their posts in the topic Cylindrical tennis-ball cans are being packed into cartons. tarek99 21 03 Dec 2007, 09:01
Display posts from previous: Sort by

A factory producing tennis balls stores them in either big

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


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

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®.