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

It is currently 27 Aug 2014, 07:10

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A lady grows cabbages in her garden that is in the shape of

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 270 [0], given: 1

GMAT Tests User
A lady grows cabbages in her garden that is in the shape of [#permalink] New post 03 Nov 2008, 05:38
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:02) correct 0% (00:00) wrong based on 0 sessions
A lady grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 211 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?

A. 11236
B. 11025
C. 14400
D. 12696
E. Cannot be determined
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2501
Followers: 53

Kudos [?]: 500 [0], given: 19

GMAT Tests User
Re: PS : Cabbage [#permalink] New post 03 Nov 2008, 08:34
amitdgr wrote:
A lady grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 211 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?

A. 11236
B. 11025
C. 14400
D. 12696
E. Cannot be determined


Its A. It cannot be as obvious as it is E.

I had to take the help of excel sheet to make the calculation. The clue is here: A lady grows cabbages in her garden that is in the shape of a square
_________________

Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Manager
Manager
avatar
Joined: 11 Apr 2008
Posts: 202
Followers: 2

Kudos [?]: 17 [0], given: 1

GMAT Tests User
Re: PS : Cabbage [#permalink] New post 03 Nov 2008, 08:54
Can you explain this in detail?
_________________

Nobody dies a virgin, life screws us all.

Manager
Manager
avatar
Joined: 12 Oct 2008
Posts: 106
Followers: 1

Kudos [?]: 6 [0], given: 0

Re: PS : Cabbage [#permalink] New post 03 Nov 2008, 09:13
well, I'm going with A too, but just because of the hint....
because sqrt 11236 and sqrt (11236-211) is an integer
VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 270 [0], given: 1

GMAT Tests User
Re: PS : Cabbage [#permalink] New post 03 Nov 2008, 09:20
linau1982 wrote:
well, I'm going with A too, but just because of the hint....
because sqrt 11236 and sqrt (11236-211) is an integer


how did you know that it is an integer ???
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1579
Followers: 12

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

GMAT Tests User
Re: PS : Cabbage [#permalink] New post 03 Nov 2008, 10:39
What is the source? Question is good, but it requires lots of calculation.

If, x is the side of original square and x+a is the side of new square, then
(x+a)^2 - x^2 = 211
or, a^2 + 2ax = 211
And, x should be an intger.

Looking at the answer choices, C seems to be an obvious answer. In the exam, I would have chosen C.
VP
VP
User avatar
Joined: 30 Jun 2008
Posts: 1048
Followers: 11

Kudos [?]: 270 [0], given: 1

GMAT Tests User
Re: PS : Cabbage [#permalink] New post 03 Nov 2008, 10:53
I googled and found the source

http://questionbank.4gmat.com/mba_prep_sample_questions/mensuration/mensuration_121103.shtml

The correct choice is (A) and the correct answer is 11236.

Explanatory Answer
The shape of the area used for growing cabbages has remained a square in both the years.

Let the side of the square area used for growing cabbages this year be X ft.
Therefore, the area of the ground this year = X² sq.ft.

And let the side of the square area used for growing cabbages last year be Y ft.
Therefore, the area of the ground used last year = Y² sq.ft.

As the number of cabbages grown has increased by 211, the area would have increased by 211 sq ft as each cabbage takes 1 sq ft space.

Hence X² - Y² = 211 => (X + Y)(X – Y) = 211.
211 is a prime number and hence it will have only two factors. i.e., 211 = 211*1.
This can be represented as (106 + 105)*(106-105).

(X + Y)(X – Y) = (106 + 105)(106 – 105).
From this we can deduce that X = 106 and Y = 105.

Therefore, number of cabbages produced this year = X² = 106² = 11236.

-----------------------------------------------------------------------------------------------------------
EDIT :
gmatclub user: asdert ... suggested this method (i remembered that this had been discussed on gmatclub before)
x^2 - 211 = (x-1)^2
x^2 - 211 = x^2-2x+1
2x = 212
x = 106
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Check out my GMAT blog - GMAT Tips and Strategies

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1579
Followers: 12

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

GMAT Tests User
Re: PS : Cabbage [#permalink] New post 04 Nov 2008, 01:13
Excellent OE. But 211 is a prime number is also tough to determine.
Re: PS : Cabbage   [#permalink] 04 Nov 2008, 01:13
    Similar topics Author Replies Last post
Similar
Topics:
Cabbages shashankp27 1 11 Jun 2011, 08:22
1 A new gardening rake with an S-shaped handle reduces rohitgoel15 12 09 Aug 2010, 02:05
1 A lady grows cabbages in her garden that is in the shape of arjtryarjtry 7 11 Sep 2008, 21:18
2 A lady grows cabbages in her garden that is in the shape of rpmodi 2 17 May 2008, 15:51
Lady Murasaki chanatty 18 27 Nov 2004, 16:55
Display posts from previous: Sort by

A lady grows cabbages in her garden that is in the shape of

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.