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

 It is currently 30 Apr 2016, 03:18

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 07 Dec 2010
Posts: 116
Concentration: Marketing, General Management
Followers: 0

Kudos [?]: 15 [1] , given: 12

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

### Show Tags

28 May 2011, 03:07
1
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

55% (03:46) correct 45% (03:15) wrong based on 126 sessions

### HideShow timer Statictics

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.
CEO
Joined: 17 Nov 2007
Posts: 3579
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 473

Kudos [?]: 2702 [2] , given: 359

Re: 650 plus level question [#permalink]

### Show Tags

28 May 2011, 04:42
2
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

Manager
Joined: 07 Oct 2010
Posts: 180
Followers: 6

Kudos [?]: 145 [0], given: 10

Re: 650 plus level question [#permalink]

### Show Tags

28 May 2011, 07:07
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
Joined: 07 Dec 2010
Posts: 116
Concentration: Marketing, General Management
Followers: 0

Kudos [?]: 15 [0], given: 12

Re: 650 plus level question [#permalink]

### Show Tags

28 May 2011, 07:58
can u please explain the same with the help of diagram..
CEO
Joined: 17 Nov 2007
Posts: 3579
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 473

Kudos [?]: 2702 [2] , given: 359

Re: 650 plus level question [#permalink]

### Show Tags

28 May 2011, 08:51
2
KUDOS
Expert's post

[Reveal] Spoiler:
Attachment:

114310.png [ 3.71 KiB | Viewed 4143 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

Manager
Joined: 04 Apr 2010
Posts: 163
Followers: 1

Kudos [?]: 134 [1] , given: 31

Re: 650 plus level question [#permalink]

### Show Tags

28 May 2011, 11:42
1
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

Current Student
Joined: 26 May 2005
Posts: 565
Followers: 18

Kudos [?]: 179 [0], given: 13

Re: 650 plus level question [#permalink]

### Show Tags

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.
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2022
Followers: 154

Kudos [?]: 1416 [3] , given: 376

Re: 650 plus level question [#permalink]

### Show Tags

29 May 2011, 02:42
3
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 [ 5.2 KiB | Viewed 3850 times ]

_________________
Manager
Status: ==GMAT Ninja==
Joined: 08 Jan 2011
Posts: 247
Schools: ISB, IIMA ,SP Jain , XLRI
WE 1: Aditya Birla Group (sales)
WE 2: Saint Gobain Group (sales)
Followers: 5

Kudos [?]: 66 [1] , given: 46

Re: 650 plus level question [#permalink]

### Show Tags

31 May 2011, 12:00
1
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.

Manager
Joined: 16 Mar 2011
Posts: 177
Followers: 1

Kudos [?]: 34 [0], given: 13

Re: 650 plus level question [#permalink]

### Show Tags

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..
Manager
Joined: 16 May 2011
Posts: 204
Concentration: Finance, Real Estate
GMAT Date: 12-27-2011
WE: Law (Law)
Followers: 1

Kudos [?]: 53 [0], given: 37

Re: 650 plus level question [#permalink]

### Show Tags

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
Manager
Joined: 28 Jan 2011
Posts: 76
Location: Tennessee
Schools: Belmont University
Followers: 1

Kudos [?]: 92 [0], given: 57

Re: 650 plus level question [#permalink]

### Show Tags

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.
Manager
Joined: 16 Mar 2011
Posts: 177
Followers: 1

Kudos [?]: 34 [0], given: 13

Re: 650 plus level question [#permalink]

### Show Tags

21 Jun 2011, 13:40
Lol, I was REALLY thinking the same thing! I'm afraid it is
Manager
Joined: 28 Jan 2011
Posts: 76
Location: Tennessee
Schools: Belmont University
Followers: 1

Kudos [?]: 92 [0], given: 57

Re: 650 plus level question [#permalink]

### Show Tags

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?
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 9232
Followers: 454

Kudos [?]: 114 [0], given: 0

Re: 650 plus level question [#permalink]

### Show Tags

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 Club Legend
Joined: 09 Sep 2013
Posts: 9232
Followers: 454

Kudos [?]: 114 [0], given: 0

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

### Show Tags

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.
_________________
Re: A farmer has a field that measures 1000 ft wide by 2000 ft l   [#permalink] 08 Feb 2016, 05:23
Similar topics Replies Last post
Similar
Topics:
2 A rectangular garden is surrounded by a 3 ft. wide concrete sidewalk. 3 12 Mar 2015, 06:48
2 A circular field that measures 100π meters in circumference has six mo 4 23 Jan 2015, 07:29
Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./s 3 05 Oct 2010, 05:41
when a certain tree was first planted it was 4 ft tall. the height of 2 22 Jul 2010, 07:09
16 The circumference of the front wheel of a cart is 30 ft long 10 19 Feb 2010, 13:43
Display posts from previous: Sort by
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3830554783344269, "perplexity": 10593.404753828116}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-18/segments/1461860111809.10/warc/CC-MAIN-20160428161511-00089-ip-10-239-7-51.ec2.internal.warc.gz"}