GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Dec 2018, 07:17

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

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

Manager
Manager
avatar
Joined: 07 Dec 2010
Posts: 98
Concentration: Marketing, General Management
A farmer has a field that measures 1000 ft wide by 2000 ft l  [#permalink]

Show Tags

New post Updated on: 09 Jun 2014, 08:29
3
4
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

62% (03:00) correct 38% (03:11) wrong based on 160 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%

Originally posted by ruturaj on 28 May 2011, 02:07.
Last edited by Bunuel on 09 Jun 2014, 08:29, edited 1 time in total.
Renamed the topic and edited the question.
CEO
CEO
User avatar
B
Joined: 17 Nov 2007
Posts: 3440
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
GMAT ToolKit User Premium Member CAT Tests
Re: 650 plus level question  [#permalink]

Show Tags

New post 28 May 2011, 03:42
3
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+ | Limited GMAT/GRE Math tutoring in Chicago

Manager
Manager
User avatar
Joined: 07 Oct 2010
Posts: 140
Re: 650 plus level question  [#permalink]

Show Tags

New post 28 May 2011, 06:07
1
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
Manager
Manager
avatar
Joined: 07 Dec 2010
Posts: 98
Concentration: Marketing, General Management
Re: 650 plus level question  [#permalink]

Show Tags

New post 28 May 2011, 06:58
can u please explain the same with the help of diagram..
CEO
CEO
User avatar
B
Joined: 17 Nov 2007
Posts: 3440
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
GMAT ToolKit User Premium Member CAT Tests
Re: 650 plus level question  [#permalink]

Show Tags

New post 28 May 2011, 07:51
4
Image



Attachment:
114310.png
114310.png [ 3.71 KiB | Viewed 5376 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+ | Limited GMAT/GRE Math tutoring in Chicago

Manager
Manager
User avatar
Joined: 04 Apr 2010
Posts: 135
Re: 650 plus level question  [#permalink]

Show Tags

New post 28 May 2011, 10:42
1
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

Current Student
avatar
Joined: 26 May 2005
Posts: 505
Re: 650 plus level question  [#permalink]

Show Tags

New post 28 May 2011, 12:26
1
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.
Retired Moderator
avatar
Joined: 20 Dec 2010
Posts: 1820
Re: 650 plus level question  [#permalink]

Show Tags

New post 29 May 2011, 01:42
3
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 5051 times ]

_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
User avatar
Status: ==GMAT Ninja==
Joined: 08 Jan 2011
Posts: 194
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, 11:00
2
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. :)

Manager
Manager
avatar
Joined: 16 Mar 2011
Posts: 150
Re: 650 plus level question  [#permalink]

Show Tags

New post 02 Jun 2011, 12:28
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..
Manager
Manager
avatar
Joined: 16 May 2011
Posts: 188
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, 13:52
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
Manager
Manager
User avatar
Joined: 28 Jan 2011
Posts: 76
Location: Tennessee
Schools: Belmont University
Re: 650 plus level question  [#permalink]

Show Tags

New post 21 Jun 2011, 12:37
Shalom!
Please tell me that this type of question is not in the 600 to 700 level question range on the GMAT.
Manager
Manager
avatar
Joined: 16 Mar 2011
Posts: 150
Re: 650 plus level question  [#permalink]

Show Tags

New post 21 Jun 2011, 12:40
Lol, I was REALLY thinking the same thing! I'm afraid it is :(
Manager
Manager
User avatar
Joined: 28 Jan 2011
Posts: 76
Location: Tennessee
Schools: Belmont University
Re: 650 plus level question  [#permalink]

Show Tags

New post 21 Jun 2011, 14:41
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?
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9184
Premium Member
Re: A farmer has a field that measures 1000 ft wide by 2000 ft l  [#permalink]

Show Tags

New post 06 Aug 2018, 04:17
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

GMAT Club Bot
Re: A farmer has a field that measures 1000 ft wide by 2000 ft l &nbs [#permalink] 06 Aug 2018, 04:17
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  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.