A factory producing tennis balls stores them in either big : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 23:23

### 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 factory producing tennis balls stores them in either big

Author Message
TAGS:

### Hide Tags

SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
Followers: 22

Kudos [?]: 1011 [0], given: 1

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

### Show Tags

27 May 2008, 21:17
4
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

52% (02:10) correct 48% (01:01) wrong based on 287 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

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

Kudos [?]: 180 [0], given: 0

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

### Show Tags

27 May 2008, 21:27
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
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

27 May 2008, 21:37
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
Joined: 21 Mar 2008
Posts: 81
Followers: 1

Kudos [?]: 13 [0], given: 0

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

### Show Tags

27 May 2008, 21:39
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
Joined: 14 Aug 2007
Posts: 733
Followers: 10

Kudos [?]: 180 [0], given: 0

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

### Show Tags

27 May 2008, 21:41
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
Joined: 23 Sep 2007
Posts: 789
Followers: 5

Kudos [?]: 185 [0], given: 0

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

### Show Tags

27 May 2008, 21:42
why not 0

the question does not state that the boxes have to be full.
SVP
Joined: 04 May 2006
Posts: 1926
Schools: CBS, Kellogg
Followers: 22

Kudos [?]: 1011 [0], given: 1

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

### Show Tags

27 May 2008, 23:16
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!
_________________
Manager
Joined: 11 Apr 2008
Posts: 128
Location: Chicago
Followers: 1

Kudos [?]: 48 [0], given: 0

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

### Show Tags

28 May 2008, 09:58
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!!!

Senior Manager
Joined: 22 Sep 2005
Posts: 276
Followers: 1

Kudos [?]: 188 [2] , given: 1

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

### Show Tags

28 May 2008, 11:27
2
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
Status: Gonna rock this time!!!
Joined: 22 Jul 2012
Posts: 547
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

21 Feb 2013, 05:26
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
Joined: 06 Sep 2013
Posts: 2035
Concentration: Finance
GMAT 1: 770 Q0 V
Followers: 62

Kudos [?]: 593 [0], given: 355

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

### Show Tags

17 Oct 2013, 15:44
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
Joined: 26 Sep 2012
Posts: 38
Followers: 0

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

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

### Show Tags

05 Jul 2014, 01:14
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
Joined: 09 Sep 2013
Posts: 13435
Followers: 575

Kudos [?]: 163 [0], given: 0

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

### Show Tags

01 Jan 2017, 13:46
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.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36540
Followers: 7074

Kudos [?]: 93053 [0], given: 10541

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

### Show Tags

02 Jan 2017, 03:53
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.

_________________
Re: A factory producing tennis balls stores them in either big   [#permalink] 02 Jan 2017, 03:53
Similar topics Replies Last post
Similar
Topics:
5 A factory produces x widgets per day. The factory's fixed costs are \$8 4 06 Feb 2015, 06:43
2 Tennis Balls are to be placed in nine buckets 5 26 Jul 2013, 23:19
A sports retailer ordered white and yellow tennis balls 2 21 Feb 2013, 07:15
33 In a factory that produces computer circuit boards, 4.5 12 18 May 2010, 15:59
68 Cylindrical tennis-ball cans are being packed into cartons. 21 03 Dec 2007, 08:01
Display posts from previous: Sort by