It is currently 21 Oct 2017, 00:04

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 farmer has a field that measures 1000 ft wide by 2000 ft l

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

Hide Tags

2 KUDOS received
Manager
Manager
avatar
Joined: 07 Dec 2010
Posts: 111

Kudos [?]: 40 [2], given: 12

Concentration: Marketing, General Management
A farmer has a field that measures 1000 ft wide by 2000 ft l [#permalink]

Show Tags

New post 28 May 2011, 03:07
2
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

58% (02:45) correct 42% (03:04) wrong based on 158 sessions

HideShow timer Statistics

A farmer has a field that measures 1000 ft wide by 2000 ft long. There is an untillable strip 20 ft wide on the inside edge of the field, and a 30 ft wide untillable strip bisects the field into two squares (approximate). Approximately what percentage of the field is tillable?

A. 98%
B. 93%
C. 91%
D. 90%
E. 88%
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Jun 2014, 09:29, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 40 [2], given: 12

Expert Post
3 KUDOS received
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4587 [3], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
GMAT ToolKit User Premium Member
Re: 650 plus level question [#permalink]

Show Tags

New post 28 May 2011, 04:42
3
This post received
KUDOS
Expert's post
Actually you can solve the problem pretty fast by using following approach:

1. one shorter inside strip with width of 20 ft takes 20/2000 = 1% of field
2. There is 2 short strips, 2 long strips (twice as long as shorts ones) and one short but wider strip that equals 30/20 = 1.5 short strips.
3. Approximately we have 2 + 2*2 + 1.5 = 7.5 short strips --> ~ 7.5% or 92.5%
4. As we didn't take into account overlaps between strips it will be slightly higher than 92.5%.

Or you can use calculations but I think it will take more time:

\(%=100%*\frac{2*(1000-2*20)*(1000-20-\frac{30}{2})}{1000*2000} = 0.9264\)
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Kudos [?]: 4587 [3], given: 360

1 KUDOS received
Manager
Manager
User avatar
Joined: 07 Oct 2010
Posts: 174

Kudos [?]: 179 [1], given: 10

Re: 650 plus level question [#permalink]

Show Tags

New post 28 May 2011, 07:07
1
This post received
KUDOS
walker wrote:
Actually you can solve the problem pretty fast by using following approach:

1. one shorter inside strip with width of 20 ft takes 20/2000 = 1% of field
2. There is 2 short strips, 2 long strips (twice as long as shorts ones) and one short but wider strip that equals 30/20 = 1.5 short strips.
3. Approximately we have 2 + 2*2 + 1.5 = 7.5 short strips --> ~ 7.5% or 92.5%
4. As we didn't take into account overlaps between strips it will be slightly higher than 92.5%.

Or you can use calculations but I think it will take more time:

\(%=100%*\frac{2*(1000-2*20)*(1000-20-\frac{30}{2})}{1000*2000} = 0.9264\)


Good method ...fast and quick

Kudos [?]: 179 [1], given: 10

Manager
Manager
avatar
Joined: 07 Dec 2010
Posts: 111

Kudos [?]: 40 [0], given: 12

Concentration: Marketing, General Management
Re: 650 plus level question [#permalink]

Show Tags

New post 28 May 2011, 07:58
can u please explain the same with the help of diagram..

Kudos [?]: 40 [0], given: 12

Expert Post
3 KUDOS received
CEO
CEO
User avatar
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4587 [3], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
GMAT ToolKit User Premium Member
Re: 650 plus level question [#permalink]

Show Tags

New post 28 May 2011, 08:51
3
This post received
KUDOS
Expert's post
Image



[Reveal] Spoiler:
Attachment:
114310.png
114310.png [ 3.71 KiB | Viewed 4783 times ]

_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

Kudos [?]: 4587 [3], given: 360

1 KUDOS received
Manager
Manager
User avatar
Joined: 04 Apr 2010
Posts: 159

Kudos [?]: 222 [1], given: 31

Re: 650 plus level question [#permalink]

Show Tags

New post 28 May 2011, 11:42
1
This post received
KUDOS
960*965*2/(1000*2000) = 93.04%
B.
_________________

Consider me giving KUDOS, if you find my post helpful.
If at first you don't succeed, you're running about average. ~Anonymous

Kudos [?]: 222 [1], given: 31

Current Student
avatar
Joined: 26 May 2005
Posts: 555

Kudos [?]: 239 [0], given: 13

Re: 650 plus level question [#permalink]

Show Tags

New post 28 May 2011, 13:26
1
This post was
BOOKMARKED
okai .. its C

rectangle of 1000*2000

1000-2*20 = 960
(2000-2*20-30)/2 = 965
2 squares = 2*965*960/(1000*2000) = 93% approx.

Kudos [?]: 239 [0], given: 13

3 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 1964

Kudos [?]: 2051 [3], given: 376

Re: 650 plus level question [#permalink]

Show Tags

New post 29 May 2011, 02:42
3
This post received
KUDOS
ruturaj wrote:
A farmer has a field that measures 1000 ft wide by 2000 ft long. There is an untillable strip 20 ft wide on the inside edge of the field, and a 30 ft wide untillable strip bisects the field into two squares (approximate). Approximately what percentage of the field is tillable?

A) 98%

B) 93%

C) 91%

D) 90%

E) 88%


Total Area = 1000*2000
Tillable Square's side horizontally = (2000-20-30-20)/2 = 1930/2 = 965
Tillable Square's side vertically = (1000-20-20) = 960 = 960

Consider it as 960:
\(% = \frac{2*960*960}{1000*2000}*100=\frac{2*0.96*0.96*1}{2}*100=(0.96)^2*100=92.16 \approx 93%\)

Why approximated to 93 and not 91 because we shortened one side from 965 to 960. Thus, in reality the squares are bigger.

Ans: "B"

By the way, I looked up tillable after solving.

tillable: arable, cultivable, cultivatable

Attachment:
tillable_field.PNG
tillable_field.PNG [ 5.2 KiB | Viewed 4504 times ]

_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 2051 [3], given: 376

1 KUDOS received
Manager
Manager
User avatar
Status: ==GMAT Ninja==
Joined: 08 Jan 2011
Posts: 241

Kudos [?]: 92 [1], given: 46

Schools: ISB, IIMA ,SP Jain , XLRI
WE 1: Aditya Birla Group (sales)
WE 2: Saint Gobain Group (sales)
Re: 650 plus level question [#permalink]

Show Tags

New post 31 May 2011, 12:00
1
This post received
KUDOS
fluke wrote:
ruturaj wrote:
A farmer has a field that measures 1000 ft wide by 2000 ft long. There is an untillable strip 20 ft wide on the inside edge of the field, and a 30 ft wide untillable strip bisects the field into two squares (approximate). Approximately what percentage of the field is tillable?

A) 98%

B) 93%

C) 91%

D) 90%

E) 88%


Total Area = 1000*2000
Tillable Square's side horizontally = (2000-20-30-20)/2 = 1930/2 = 965
Tillable Square's side vertically = (1000-20-20) = 960 = 960

Consider it as 960:
\(% = \frac{2*960*960}{1000*2000}*100=\frac{2*0.96*0.96*1}{2}*100=(0.96)^2*100=92.16 \approx 93%\)

Why approximated to 93 and not 91 because we shortened one side from 965 to 960. Thus, in reality the squares are bigger.

Ans: "B"

By the way, I looked up tillable after solving.

tillable: arable, cultivable, cultivatable

Attachment:
tillable_field.PNG


this was quite smart fluke

kudos from me
_________________

WarLocK
_____________________________________________________________________________
The War is oNNNNNNNNNNNNN for 720+
see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html
do not hesitate me giving kudos if you like my post. :)

Kudos [?]: 92 [1], given: 46

Manager
Manager
avatar
Joined: 16 Mar 2011
Posts: 170

Kudos [?]: 46 [0], given: 13

Re: 650 plus level question [#permalink]

Show Tags

New post 02 Jun 2011, 13:28
Guys, seriously.. If I would get this question on the actual exam I would seriously start crying or something.. Pfff it took me 30minutes to friggin understand what the question is about... Sigh..

Kudos [?]: 46 [0], given: 13

Manager
Manager
avatar
Joined: 16 May 2011
Posts: 203

Kudos [?]: 98 [0], given: 37

Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE: Law (Law)
GMAT ToolKit User
Re: 650 plus level question [#permalink]

Show Tags

New post 13 Jun 2011, 14:52
i just summed the differences:

20*1000+20*1980+20*980+20*1960 will be the frame. the bisector will be 30* 960 (which can be considered as 20*960 for approximation, remembering that the rounding can cost only 1/2 %)

20*(1980+1960+1000+980+2*960)/2000*1000=the rest is simple and got 7%(+-)which must be substracted from 100

must admit it took me 2 minutes+ to solve

Kudos [?]: 98 [0], given: 37

Manager
Manager
User avatar
Joined: 28 Jan 2011
Posts: 76

Kudos [?]: 206 [0], given: 75

Location: Tennessee
Schools: Belmont University
Re: 650 plus level question [#permalink]

Show Tags

New post 21 Jun 2011, 13:37
Shalom!
Please tell me that this type of question is not in the 600 to 700 level question range on the GMAT.

Kudos [?]: 206 [0], given: 75

Manager
Manager
avatar
Joined: 16 Mar 2011
Posts: 170

Kudos [?]: 46 [0], given: 13

Re: 650 plus level question [#permalink]

Show Tags

New post 21 Jun 2011, 13:40
Lol, I was REALLY thinking the same thing! I'm afraid it is :(

Kudos [?]: 46 [0], given: 13

Manager
Manager
User avatar
Joined: 28 Jan 2011
Posts: 76

Kudos [?]: 206 [0], given: 75

Location: Tennessee
Schools: Belmont University
Re: 650 plus level question [#permalink]

Show Tags

New post 21 Jun 2011, 15:41
Shalom!
I have a question. If I can expect to see this type of question in the 600 to 700 range then how do I prepare to calculate the answer without the use of a calculator?

Kudos [?]: 206 [0], given: 75

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16609

Kudos [?]: 273 [0], given: 0

Premium Member
Re: 650 plus level question [#permalink]

Show Tags

New post 09 Jun 2014, 09:15
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

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16609

Kudos [?]: 273 [0], given: 0

Premium Member
Re: A farmer has a field that measures 1000 ft wide by 2000 ft l [#permalink]

Show Tags

New post 08 Feb 2016, 05:23
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Re: A farmer has a field that measures 1000 ft wide by 2000 ft l   [#permalink] 08 Feb 2016, 05:23
Display posts from previous: Sort by

A farmer has a field that measures 1000 ft wide by 2000 ft l

  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 | Emoji artwork provided by EmojiOne

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®.