Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Jul 2014, 10:05

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Prat has 128 boxes with him. He has to put atleast 120

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
CEO
CEO
avatar
Joined: 15 Aug 2003
Posts: 3470
Followers: 59

Kudos [?]: 657 [0], given: 781

Prat has 128 boxes with him. He has to put atleast 120 [#permalink] New post 12 Sep 2003, 22:57
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:37) correct 0% (00:00) wrong based on 0 sessions
Prat has 128 boxes with him. He has to put atleast 120 oranges
in one box and 144 at the most. Find the least number of boxes which will
have the same number of oranges.

a) 5
b) 103
c) 6
d) Cannot be determined
Manager
Manager
avatar
Joined: 26 Aug 2003
Posts: 233
Location: United States
Followers: 1

Kudos [?]: 2 [0], given: 0

GMAT Tests User
 [#permalink] New post 13 Sep 2003, 02:56
D. Number of oranges not provided.
A otherwise.
CEO
CEO
avatar
Joined: 15 Aug 2003
Posts: 3470
Followers: 59

Kudos [?]: 657 [0], given: 781

 [#permalink] New post 13 Sep 2003, 03:08
wonder_gmat wrote:
D. Number of oranges not provided.
A otherwise.


Do you REALLY need the actual number of oranges? :)

praetorian
Intern
Intern
avatar
Joined: 13 Sep 2003
Posts: 4
Location: New York
Followers: 0

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

 [#permalink] New post 13 Sep 2003, 19:45
Hi, I'm new here (notice this is the first post :-D ), but am I missing something here or is this question slightly strange?

Prat has 128 boxes. They're pretty big boxes, seeing as they hold up to 144 oranges each (I assume). He must have a truck or something :).

Now he needs to figure out "the least number of boxes which will have the same number of oranges"... The same as what?

each box having the same number of oranges as each other box? in that case I suppose it would be "2", as it seems that we have an "undefined" number of oranges available to place into these boxes... except 2 is not an option.

I go with wonder_gmat's original answer: d.

Am I going nuts or does this question make no sense?
CEO
CEO
avatar
Joined: 15 Aug 2003
Posts: 3470
Followers: 59

Kudos [?]: 657 [0], given: 781

Re: PS : Oranges [#permalink] New post 14 Sep 2003, 02:30
praetorian123 wrote:
Prat has 128 boxes with him. He has to put atleast 120 oranges in one box and 144 at the most. Find the least number of boxes which will have the same number of oranges.

a) 5
b) 103
c) 6
d) Cannot be determined



let me try this...

The number of boxes containing same number of oranges will be
least when there are maximum boxes containing different number of oranges.

I can have boxes where all of them contain.. say for example...120 oranges and that would be my maximum...right. so 128 boxes is my Maximum.

Now, to have the least number of equal boxes , What do i do...i start filling each box differently...but i got only 25 different possibilities..

In other words, The maximum number of boxes that each contain different number of oranges = 25 (120 thru 144)

So now i can fill the rest of the boxes with say...120 oranges....isnt it..

Therefore the least number of boxes with same number of oranges 128-25 =103

Answer B

Last edited by Praetorian on 14 Sep 2003, 02:38, edited 1 time in total.
Senior Manager
Senior Manager
avatar
Joined: 21 Aug 2003
Posts: 258
Location: Bangalore
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
 [#permalink] New post 14 Sep 2003, 02:31
Guess this a tricky question and i am missing something.. dont know what.. ?
wonder gmat or preat.. please explain how u guys are getting A.
-Vicks
CEO
CEO
avatar
Joined: 15 Aug 2003
Posts: 3470
Followers: 59

Kudos [?]: 657 [0], given: 781

 [#permalink] New post 14 Sep 2003, 02:46
Vicky wrote:
Guess this a tricky question and i am missing something.. dont know what.. ?
wonder gmat or preat.. please explain how u guys are getting A.
-Vicks


Hey Vicky,

i explained the problem above..

Thanks
Praetorian
Senior Manager
Senior Manager
avatar
Joined: 21 Aug 2003
Posts: 258
Location: Bangalore
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
 [#permalink] New post 14 Sep 2003, 03:03
thanks praet..
very good question.. but i guess answer would be A) - 5
I feel u were right half way through i.e.
In other words, The maximum number of boxes that each contain different number of oranges = 25 (120 thru 144)

Now if 25 is the number of ways in which first 25 boxes will have different oranges, then i will just reapeat the same arrangement for the remaining boxes. Thus for first 125 boxes i would just repeat the same arrangement of oranges. Thus least boxes with same number of oranges would be 5.
i hope my explanation is clear, concise and idiomatic (as GMAT says... :) )
- Vicks
CEO
CEO
avatar
Joined: 15 Aug 2003
Posts: 3470
Followers: 59

Kudos [?]: 657 [0], given: 781

 [#permalink] New post 14 Sep 2003, 03:17
Vicky wrote:
thanks praet..
very good question.. but i guess answer would be A) - 5
I feel u were right half way through i.e.
In other words, The maximum number of boxes that each contain different number of oranges = 25 (120 thru 144)

Now if 25 is the number of ways in which first 25 boxes will have different oranges, then i will just reapeat the same arrangement for the remaining boxes. Thus for first 125 boxes i would just repeat the same arrangement of oranges. Thus least boxes with same number of oranges would be 5.
i hope my explanation is clear, concise and idiomatic (as GMAT says... :) )
- Vicks


Hey vicky

Well, i did think of it before i got the solution...it appeals to the intuition too..and it may be right too.. :) And under time pressure, i am sure it will be hard to analyze the problem and come up with 103...

I may be wrong.. but Here is what i think..

if you repeat the arrangement , you wont have all different boxes anymore...remember we are looking for the least number of boxes with the same number of oranges...

Least number of same boxes = Total Boxes - Maximum number of different boxes

Comments?

praetorian
Senior Manager
Senior Manager
avatar
Joined: 21 Aug 2003
Posts: 258
Location: Bangalore
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
 [#permalink] New post 14 Sep 2003, 03:41
praet u wrote:
if you repeat the arrangement , you wont have all different boxes anymore...remember we are looking for the least number of boxes with the same number of oranges...

praet, what do u mean by "all different" boxes...!!
If i repeat the arrangement i land with something like this:
=> 5 boxes with 120 oranges
5 " " 121 org
5 " " 122 org.
.......
5 boxes 144 org and left over 3 boxes with whatever be in them.

With ur answer we land up with something like this:
=> 25 boxes with oranges starting from 120 to 144
& remaining 103 with 120 oranges (as u assumed). and In this case considering ur view point answer should be 104 (why to forget the one box with 120 in the first 25 boxes)

Now considering both scenarios, Question asks: Find the least number of boxes which will have the same number of oranges.
still feel answer wud be 5.
I unnderstand the way u are looking at problem but even keeping that in mind answer wud be 104..
wat say.. ?
-Vicks
CEO
CEO
avatar
Joined: 15 Aug 2003
Posts: 3470
Followers: 59

Kudos [?]: 657 [0], given: 781

 [#permalink] New post 14 Sep 2003, 04:46
Thanks for the explanation..its makes more sense..

But i think the answer is 6

What about the remaining three boxes...they will contain atleast one between 120-144..

so 5 +1 = 6

Answer is C..

BTW.. i replied to your post about 800 score tests..check it out

Thanks for a good discussion
Praetorian
  [#permalink] 14 Sep 2003, 04:46
    Similar topics Author Replies Last post
Similar
Topics:
Tom is going to move, he has three kinds of boxes: large, Value 2 19 May 2008, 05:31
Tom is going to move, he has three kinds of boxes: large, rkatl 1 11 Sep 2006, 19:23
Tom is going to move, he has three kinds of boxes: large, quangviet512 1 05 Sep 2006, 21:26
The above rectangular box has a volume of 128 cubic inches. kevincan 6 11 Aug 2006, 09:14
Paul has a circular garden in his backyard. He puts poles ps_dahiya 7 20 Jul 2006, 10:29
Display posts from previous: Sort by

Prat has 128 boxes with him. He has to put atleast 120

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.