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

It is currently 22 Feb 2019, 04:39

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT RC Webinar

     February 23, 2019

     February 23, 2019

     07:00 AM PST

     09:00 AM PST

    Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
  • FREE Quant Workshop by e-GMAT!

     February 24, 2019

     February 24, 2019

     07:00 AM PST

     09:00 AM PST

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

A board of length L feet is cut into two pieces such that the length

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53066
A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 03 Dec 2015, 05:28
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (02:07) correct 29% (02:02) wrong based on 103 sessions

HideShow timer Statistics

A board of length L feet is cut into two pieces such that the length of piece A is 1 foot less than twice the length of piece B. Which of the following is the length, in feet, of piece A ?

A. (L - 1)/2
B. (2L + 1)/3
C. (L + 1)/3
D. (2L + 2)/3
E. (2L - 1)/3

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Premium Member
Re: A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 03 Dec 2015, 05:35
Let length of piece A and B be A feet and L-A feet
as per question
A=2(L-A)-1 => 3A=2L -1 => A=(2L-1)/3
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2232
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 03 Dec 2015, 06:50
1
Let length of piece A= 2x-1
length of piece B= x
2x-1+x = L
=>3x-1 = L
=>x = (L+1)/3

length of piece A=2[(L+1)/3] - 1
= (2L+2 -3)/3 = (2L-1)/3

Answer E
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Current Student
User avatar
Joined: 21 Jul 2013
Posts: 106
WE: Securities Sales and Trading (Commercial Banking)
GMAT ToolKit User
Re: A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 06 Dec 2015, 17:41
hi!

i don't understand the solutions given by CounterSniper and Skywalker18.
why is A= 2x-1 when B= x ?

shouldn't it be A= x-1 when B= x ?
CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2629
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 06 Dec 2015, 17:50
whitehalo wrote:
hi!

i don't understand the solutions given by CounterSniper and Skywalker18.
why is A= 2x-1 when B= x ?

shouldn't it be A= x-1 when B= x ?


No. You are not reading the statement properly.

The question is:

A board of length L feet is cut into two pieces such that the length of piece A is 1 foot less than twice the length of piece B. Which of the following is the length, in feet, of piece A ?

A. (L - 1)/2
B. (2L + 1)/3
C. (L + 1)/3
D. (2L + 2)/3
E. (2L - 1)/3


If you look closely at the text in red above, you see that A is 1 foot less than TWICE the length of B. Thus, if B = x , then A = 2*B-1 = 2x-1.

Once you figure this out, you get L=x+2x-1=3x-1. ---> x=(L+1)/3 and A=2x-1 = 2(L+1)/3 -1 = (2L-1)/3. E is the correct answer.

Hope this helps.
Current Student
User avatar
Joined: 21 Jul 2013
Posts: 106
WE: Securities Sales and Trading (Commercial Banking)
GMAT ToolKit User
Re: A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 06 Dec 2015, 17:59
1
Engr2012 wrote:
whitehalo wrote:
hi!

i don't understand the solutions given by CounterSniper and Skywalker18.
why is A= 2x-1 when B= x ?

shouldn't it be A= x-1 when B= x ?


No. You are not reading the statement properly.

The question is:

A board of length L feet is cut into two pieces such that the length of piece A is 1 foot less than twice the length of piece B. Which of the following is the length, in feet, of piece A ?

A. (L - 1)/2
B. (2L + 1)/3
C. (L + 1)/3
D. (2L + 2)/3
E. (2L - 1)/3


If you look closely at the text in red above, you see that A is 1 foot less than TWICE the length of B. Thus, if B = x , then A = 2*B-1 = 2x-1.

Once you figure this out, you get L=x+2x-1=3x-1. ---> x=(L+1)/3 and A=2x-1 = 2(L+1)/3 -1 = (2L-1)/3. E is the correct answer.

Hope this helps.


Oh I see. Careless mistake. Thanks for pointing that out, Engr2012!
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13577
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 07 Dec 2015, 21:45
Hi All,

While this prompt can be approached algebraically, it can be solved rather easily by TESTing VALUES.

We're told that a board of length L feet is cut into two pieces and that Piece A is 1 foot LESS than TWICE the length of Piece B.

IF....
B = 2 feet
A = 2(2) - 1 = 3 feet

L = 2+3 = 5 feet

We're asked for the length of PIECE A, so we're looking for an answer that equals 3 when L=5... There's only one answer that fits:

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4955
Location: United States (CA)
Re: A board of length L feet is cut into two pieces such that the length  [#permalink]

Show Tags

New post 21 Jan 2019, 17:40
Bunuel wrote:
A board of length L feet is cut into two pieces such that the length of piece A is 1 foot less than twice the length of piece B. Which of the following is the length, in feet, of piece A ?

A. (L - 1)/2
B. (2L + 1)/3
C. (L + 1)/3
D. (2L + 2)/3
E. (2L - 1)/3


We can let b= the length of piece B and (2b - 1) = the length of piece A and create the equation:

b + 2b - 1 = L

3b - 1 = L

3b = L + 1

b = (L + 1)/3

So the length of piece A is:

2(L + 1)/3 - 1

(2L + 2)/3 - 1

(2L + 2)/3 - 3/3 = (2L - 1)/3

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: A board of length L feet is cut into two pieces such that the length   [#permalink] 21 Jan 2019, 17:40
Display posts from previous: Sort by

A board of length L feet is cut into two pieces such that the length

  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®.