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

 It is currently 19 Dec 2018, 02:11

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• ### Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# A piece of fabric is cut into three sections so that the first is thre

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51301
A piece of fabric is cut into three sections so that the first is thre  [#permalink]

### Show Tags

25 Feb 2018, 10:21
00:00

Difficulty:

15% (low)

Question Stats:

85% (01:09) correct 15% (01:36) wrong based on 37 sessions

### HideShow timer Statistics

A piece of fabric is cut into three sections so that the first is three times as long as the second and the second section is three times as long as the third. What part of the entire piece is the smallest section?

(A) 1/12
(B) 1/9
(C) 1/3
(D) 1/7
(E) 1/13

_________________
BSchool Forum Moderator
Joined: 07 Jan 2016
Posts: 832
Location: India
GMAT 1: 710 Q49 V36
Re: A piece of fabric is cut into three sections so that the first is thre  [#permalink]

### Show Tags

25 Feb 2018, 10:36
Bunuel wrote:
A piece of fabric is cut into three sections so that the first is three times as long as the second and the second section is three times as long as the third. What part of the entire piece is the smallest section?

(A) 1/12
(B) 1/9
(C) 1/3
(D) 1/7
(E) 1/13

start from the smallest and let the size = 1

3rd part= 1
2nd part = 3 ( thrice of 3rd part)
1st = 9

total = 9+3+1= 13

smallest = 1/13

(E) imo
Senior Manager
Joined: 07 Jul 2012
Posts: 377
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: A piece of fabric is cut into three sections so that the first is thre  [#permalink]

### Show Tags

26 Feb 2018, 00:03
Let third part= x

Second part= 3x

First part= 3*3x= 9x

Total= 9x+3x+x= 13x

Third part (Smallest)= $$\frac{x}{13x}$$= $$\frac{1}{13}$$

_________________

Kindly hit kudos if my post helps!

Intern
Joined: 20 Dec 2017
Posts: 36
Location: Singapore
Re: A piece of fabric is cut into three sections so that the first is thre  [#permalink]

### Show Tags

26 Feb 2018, 01:43
For these type of ratio questions, I would usually go for table method:

Name the 3 pieces of fabrics as A, B & C

A B C
3 1 -
- 3 1

Make B the same value, i.e. 3

A B C
9 3 -
- 3 1

Therefore, $$\frac{C}{A+B+C} = \frac{1}{9+3+1} = \frac{1}{13}$$

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4328
Location: United States (CA)
Re: A piece of fabric is cut into three sections so that the first is thre  [#permalink]

### Show Tags

27 Feb 2018, 09:25
Bunuel wrote:
A piece of fabric is cut into three sections so that the first is three times as long as the second and the second section is three times as long as the third. What part of the entire piece is the smallest section?

(A) 1/12
(B) 1/9
(C) 1/3
(D) 1/7
(E) 1/13

We can let f = the longest piece, s = the second longest piece, and t = the shortest piece and create the equations:

f = 3s

and

s = 3t

Thus, f = 3(3t) = 9t

The total piece of fabric is:

9t + 3t + t = 13t

Thus, the shortest piece is t/(13t) = 1/13 of the entire piece.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: A piece of fabric is cut into three sections so that the first is thre &nbs [#permalink] 27 Feb 2018, 09:25
Display posts from previous: Sort by