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

It is currently 15 Sep 2014, 19:41

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

When a certain tree was first planted, it was 4 feet tall

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 07 Feb 2010
Posts: 162
Followers: 2

Kudos [?]: 77 [0], given: 101

GMAT Tests User
When a certain tree was first planted, it was 4 feet tall [#permalink] New post 02 Nov 2010, 06:16
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

59% (02:04) correct 41% (01:13) wrong based on 162 sessions
When a certain tree was first planted, it was 4 feet tall and the height of the tree increased by a constant amount each year for the next 6 years. At the end of 6 year the tree was 1/5 taller then it was at the end of 4 year. By how many feet did the height of the tree increase each year

A. 3/10
B. 2/5
C. 1/2
D. 2/3
E. 6/5
[Reveal] Spoiler: OA
Expert Post
16 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26583
Followers: 3487

Kudos [?]: 26169 [16] , given: 2705

Re: when a certain tree was first planted [#permalink] New post 02 Nov 2010, 06:27
16
This post received
KUDOS
Expert's post
5
This post was
BOOKMARKED
anilnandyala wrote:
when a certain tree was first planted, it was 4 feet tall & the height of the tree increased by a constant amount each year for the next 6 years. at the end of 6 year the tree was 1/5 taller then it was at the end of 4 year. by how many feet did the height of the tree increase each year
a 3/10
b 2/5
c 1/2
d 2/3
e 6/5


Let the rate of increase be x feet per year.

At the end of the 4th year the height was 4+4x and at the of the 6th year the height was 4+6x, which was "1/5 taller than it was at the end of the 4th year" --> 4+4x+\frac{1}{5}(4+4x)=4+6x --> \frac{1}{5}(4+4x)=2x --> x=\frac{2}{3}.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Senior Manager
Senior Manager
avatar
Joined: 29 Jan 2011
Posts: 386
Followers: 0

Kudos [?]: 36 [0], given: 87

GMAT Tests User
Re: when a certain tree was first planted [#permalink] New post 21 Jul 2011, 02:48
Bunuel wrote:
anilnandyala wrote:
when a certain tree was first planted, it was 4 feet tall & the height of the tree increased by a constant amount each year for the next 6 years. at the end of 6 year the tree was 1/5 taller then it was at the end of 4 year. by how many feet did the height of the tree increase each year
a 3/10
b 2/5
c 1/2
d 2/3
e 6/5


Let the rate of increase be x feet per year.

At the end of the 4th year the height was 4+4x and at the of the 6th year the height was 4+6x, which was "1/5 taller than it was at the end of the 4th year" --> 4+4x+\frac{1}{5}(4+4x)=4+6x --> \frac{1}{5}(4+4x)=2x --> x=\frac{2}{3}.

Answer: D.


Shouldnt this be 1/5 (4 + 4x) = 4 + 6x ?? why is it (4 + 4x) + 1/5 (4 + 4x) = 4 + 6x ? when the stmt says : " at the of the 6th year the height was 1/5 taller than it was at the end of the 4th year"
4 KUDOS received
Manager
Manager
avatar
Joined: 21 Aug 2010
Posts: 93
Location: United States
Followers: 1

Kudos [?]: 25 [4] , given: 80

GMAT ToolKit User CAT Tests
Re: Height of a tree [#permalink] New post 26 Oct 2011, 02:25
4
This post received
KUDOS
The tree grows by x feets per year
At d end of 4th year the height of tree =4x+4
Between 4 th and sixth year the tree grows by 2x feet=(1/5)(4+4x)

2x=1/5(4+4x)
2x=.8x+.8
1.2x=.8
X=2/3

Posted from my mobile device Image
_________________

-------------------------------------

Intern
Intern
avatar
Joined: 27 Jul 2011
Posts: 47
Followers: 1

Kudos [?]: 19 [0], given: 2

Re: Height of a tree [#permalink] New post 26 Oct 2011, 03:30
Please help me, every time I attempt question as such I tend to do it the long way. This is my working:
Initial, 0: 4 feet
4 years: 4 + 4 x
6 years: 6 + 6 x

Given,
Increment from year 4 to 6: 1/5
Therefore, year 6: 6/5 (4 + 4X)

Equate 2 year 6 equation:
6/5 (4 + 4x) = 4 + 6 X
x = 2/3
2 KUDOS received
Director
Director
avatar
Joined: 29 Nov 2012
Posts: 930
Followers: 11

Kudos [?]: 271 [2] , given: 543

Re: When a certain tree was first planted, it was 4 feet tall [#permalink] New post 11 Aug 2013, 22:59
2
This post received
KUDOS
anilnandyala wrote:
When a certain tree was first planted, it was 4 feet tall and the height of the tree increased by a constant amount each year for the next 6 years. at the end of 6 year the tree was 1/5 taller then it was at the end of 4 year. by how many feet did the height of the tree increase each year

A. 3/10
B. 2/5
C. 1/2
D. 2/3
E. 6/5


Year 1 = 4+x
Year 2 = 4+2x
Year 3 = 4+3x
year 4 = 4+4x
Year 5 = 4+5x
year 6 = 4 + 6x

4+6x = 4+4x ( \frac{1}{5} + 1)

When we solve this we get answer D
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Senior Manager
Senior Manager
avatar
Joined: 10 Jul 2013
Posts: 343
Followers: 3

Kudos [?]: 111 [0], given: 102

Re: when a certain tree was first planted [#permalink] New post 12 Aug 2013, 12:51
siddhans wrote:
Bunuel wrote:
anilnandyala wrote:
when a certain tree was first planted, it was 4 feet tall & the height of the tree increased by a constant amount each year for the next 6 years. at the end of 6 year the tree was 1/5 taller then it was at the end of 4 year. by how many feet did the height of the tree increase each year
a 3/10
b 2/5
c 1/2
d 2/3
e 6/5


Let the rate of increase be x feet per year.

At the end of the 4th year the height was 4+4x and at the of the 6th year the height was 4+6x, which was "1/5 taller than it was at the end of the 4th year" --> 4+4x+\frac{1}{5}(4+4x)=4+6x --> \frac{1}{5}(4+4x)=2x --> x=\frac{2}{3}.

Answer: D.


Shouldnt this be 1/5 (4 + 4x) = 4 + 6x ?? why is it (4 + 4x) + 1/5 (4 + 4x) = 4 + 6x ? when the stmt says : " at the of the 6th year the height was 1/5 taller than it was at the end of the 4th year"

just like 10% increase = 100+10 here, tall=increase.
so,
1/5 taller means" original height + 1/5 of (original height) "
so, original height at 4 years = 4+4x
and at 6years = 4+6x
According to the question,
4+4x+ 1/5(4+4x) = 4+6x, or , x = 2/3
_________________

Asif vai.....

Intern
Intern
User avatar
Joined: 29 Jul 2013
Posts: 9
Followers: 0

Kudos [?]: 2 [0], given: 22

Re: when a certain tree was first planted [#permalink] New post 02 Sep 2013, 14:08
siddhans wrote:
Bunuel wrote:
anilnandyala wrote:
when a certain tree was first planted, it was 4 feet tall & the height of the tree increased by a constant amount each year for the next 6 years. at the end of 6 year the tree was 1/5 taller then it was at the end of 4 year. by how many feet did the height of the tree increase each year
a 3/10
b 2/5
c 1/2
d 2/3
e 6/5


Let the rate of increase be x feet per year.

At the end of the 4th year the height was 4+4x and at the of the 6th year the height was 4+6x, which was "1/5 taller than it was at the end of the 4th year" --> 4+4x+\frac{1}{5}(4+4x)=4+6x --> \frac{1}{5}(4+4x)=2x --> x=\frac{2}{3}.

Answer: D.


Shouldnt this be 1/5 (4 + 4x) = 4 + 6x ?? why is it (4 + 4x) + 1/5 (4 + 4x) = 4 + 6x ? when the stmt says : " at the of the 6th year the height was 1/5 taller than it was at the end of the 4th year"


Since it's an increase it has to be expressed as original height + % of increase on original height.

My thought was that because it's a 1/5 increase, meaning 20% = 0.2, this also means that it increased by 1.2= 6/5, so I simply said \frac{6}{5}(4+4x)=4+6x
Intern
Intern
avatar
Joined: 26 Mar 2014
Posts: 9
Followers: 0

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

Re: When a certain tree was first planted, it was 4 feet tall [#permalink] New post 14 Jun 2014, 20:40
ok... English is not m native language is for this problem, i struggle is what it meant "1/5 taller than it was at the end of 4th year"

why is not the equation

a6 = a4+1/5 ??!!!!!

how is that different than saying John is 5 years old than tom?!!!! which is John = tom + 5?

HELP?!
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 26583
Followers: 3487

Kudos [?]: 26169 [0], given: 2705

Re: When a certain tree was first planted, it was 4 feet tall [#permalink] New post 15 Jun 2014, 01:46
Expert's post
bb0214 wrote:
When a certain tree was first planted, it was 4 feet tall and the height of the tree increased by a constant amount each year for the next 6 years. At the end of 6 year the tree was 1/5 taller then it was at the end of 4 year. By how many feet did the height of the tree increase each year

ok... English is not m native language is for this problem, i struggle is what it meant "1/5 taller than it was at the end of 4th year"

why is not the equation

a6 = a4+1/5 ??!!!!!

how is that different than saying John is 5 years old than tom?!!!! which is John = tom + 5?

HELP?!


It would be a6 = a4+1/5, if it were "at the end of 6 year the tree was 1/5 foot taller then it was at the end of 4 year". In its current form 1/5 MUST refer to a fraction, not to the quantity.

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: When a certain tree was first planted, it was 4 feet tall   [#permalink] 15 Jun 2014, 01:46
    Similar topics Author Replies Last post
Similar
Topics:
When a certain tree was first planted, it was 4 feet tall smarinov 4 28 Dec 2008, 23:23
When a certain tree was first planted, it was 4 feet tall, lan583 2 02 Aug 2006, 16:06
When a certain tree was first planted, it was 4 feet tall, myc2004 1 24 Apr 2006, 17:37
When a certain tree was first planted, it was 4 feet tall, am100 2 23 Apr 2006, 20:38
When a certain tree was first planted, it was 4 feet tall, themagiccarpet 3 16 Nov 2005, 02:03
Display posts from previous: Sort by

When a certain tree was first planted, it was 4 feet tall

  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®.