Last visit was: 22 Apr 2026, 20:54 It is currently 22 Apr 2026, 20:54
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
AkshdeepS
User avatar
Joined: 13 Apr 2013
Last visit: 20 Apr 2026
Posts: 1,423
Own Kudos:
1,937
 [48]
Given Kudos: 1,002
Status:It's near - I can see.
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE:Engineering (Real Estate)
Products:
My Reviews
Posts: 1,423
Kudos: 1,937
 [48]
A 1 meter tree limb was divided and labeled by fifths and sixths. The 12 Nov 2018, 05:34
3
Kudos
Add Kudos
45
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

35% (02:41) correct 65% (02:30) wrong based on 290 sessions

History

Date
Time
Result
Not Attempted Yet
A 1 meter tree limb was divided and labeled by fifths and sixths. The limb was then cut at each label. If pieces between \(\frac{1}{9}\) and \(\frac{1}{20}\) of a meter are kept, how many pieces are kept?

a. 0

b. 2

c. 4

d. 6

e. 30
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 22 Apr 2026
Posts: 11,229
Own Kudos:
44,995
 [19]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 44,995
 [19]
A 1 meter tree limb was divided and labeled by fifths and sixths. The 14 Nov 2018, 04:33
11
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
AkshdeepS
A 1 meter tree limb was divided and labeled by fifths and sixths. The limb was then cut at each label. If pieces between \(\frac{1}{9}\) and \(\frac{1}{20}\) of a meter are kept, how many pieces are kept?

a. 0

b. 2

c. 4

d. 6

e. 30
Show more


Let us make it easy by taking smart number and that will be the LCM of 9 and 20 here..
So the entire length will be 180..
It is cut at fifths so 180/5=36, so cuts at 36, 72, 108, 144 and 180
and sixths so 180/6=30, so cuts at 30, 60, 90, 120, 150 and 180...

When combined ... 30, 36, 60, 72, 90, 108, 120, 144, 150 and 180..
We are looking for pieces between lengths of 180/9=20 and 180/20=9,so 9 and 20

Lengths of pieces will be difference of immediate terms..
So 30, 6, 24, 12, 18, 12, 24, 6, 30
Lengths between 9 and 20
12, 18, 18, 12 -- so 4 pieces.

C
General Discussion
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 22 Apr 2026
Posts: 8,627
Own Kudos:
5,190
 [1]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,627
Kudos: 5,190
 [1]
A 1 meter tree limb was divided and labeled by fifths and sixths. The 15 Nov 2018, 03:01
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
chetan2u
AkshdeepS
A 1 meter tree limb was divided and labeled by fifths and sixths. The limb was then cut at each label. If pieces between \(\frac{1}{9}\) and \(\frac{1}{20}\) of a meter are kept, how many pieces are kept?

a. 0

b. 2

c. 4

d. 6

e. 30


Let us make it easy by taking smart number and that will be the LCM of 9 and 20 here..
So the entire length will be 180..
It is cut at fifths so 180/5=36, so cuts at 36, 72, 108, 144 and 180
and sixths so 180/6=30, so cuts at 30, 60, 90, 120, 150 and 180...

When combined ... 30, 36, 60, 72, 90, 108, 120, 144, 150 and 180..
We are looking for pieces between lengths of 180/9=20 and 180/20=9,so 9 and 20

Lengths of pieces will be difference of immediate terms..
So 30, 6, 24, 12, 18, 12, 24, 6, 30
Lengths between 9 and 20
12, 18, 18, 12 -- so 4 pieces.

C
Show more


chetan2u really an amazing solution to the problem you have given... i honestly struggled for 2 mins trying to find way to solve , ended up in fractions.. :( .. thanks
avatar
pg03
avatar
Joined: 20 May 2020
Last visit: 04 Jun 2021
Posts: 15
Own Kudos:
1
 [1]
Given Kudos: 40
Posts: 15
Kudos: 1
 [1]
A 1 meter tree limb was divided and labeled by fifths and sixths. The 29 Nov 2020, 22:22
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
chetan2u
AkshdeepS
A 1 meter tree limb was divided and labeled by fifths and sixths. The limb was then cut at each label. If pieces between \(\frac{1}{9}\) and \(\frac{1}{20}\) of a meter are kept, how many pieces are kept?

a. 0

b. 2

c. 4

d. 6

e. 30


Let us make it easy by taking smart number and that will be the LCM of 9 and 20 here..
So the entire length will be 180..
It is cut at fifths so 180/5=36, so cuts at 36, 72, 108, 144 and 180
and sixths so 180/6=30, so cuts at 30, 60, 90, 120, 150 and 180...

When combined ... 30, 36, 60, 72, 90, 108, 120, 144, 150 and 180..
We are looking for pieces between lengths of 180/9=20 and 180/20=9,so 9 and 20

Lengths of pieces will be difference of immediate terms..
So 30, 6, 24, 12, 18, 12, 24, 6, 30
Lengths between 9 and 20
12, 18, 18, 12 -- so 4 pieces.

C
Show more



Hi,

I fail to understand the last part :
Lengths of pieces will be difference of immediate terms..
So 30, 6, 24, 12, 18, 12, 24, 6, 30
Lengths between 9 and 20
12, 18, 18, 12 -- so 4 pieces.


Please can you elaborate?
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 22 Apr 2026
Posts: 22,278
Own Kudos:
26,528
 [3]
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,278
Kudos: 26,528
 [3]
A 1 meter tree limb was divided and labeled by fifths and sixths. The 30 Nov 2020, 10:10
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AkshdeepS
A 1 meter tree limb was divided and labeled by fifths and sixths. The limb was then cut at each label. If pieces between \(\frac{1}{9}\) and \(\frac{1}{20}\) of a meter are kept, how many pieces are kept?

a. 0

b. 2

c. 4

d. 6

e. 30
Show more
Solution:

The markings on the tree limb, by fifths, are 1/5, 2/5, 3/5, and 4/5. Similarly, the markings by sixths are 1/6, 2/6 = 1/3, 3/6 = 1/2, 4/6 = 2/3, and 5/6. Including 0 and 1 (the two ends of the limb) and arranging these numbers in ascending order, we have:

0, 1/6, 1/5, 1/3, 2/5, 1/2, 3/5, 2/3, 4/5, 5/6, 1

Now, let’s find the difference of every pair of consecutive numbers (i.e., 1/6 - 0, 1/5 - 1/6, 1/3 - 1/5, etc.):

1/6, 1/30, 2/15, 1/15, 1/10, 1/10, 1/15, 2/15, 1/30, 1/6

The numbers in the above list are the lengths of the 10 pieces that the limb wascut into. Of these numbers, 1/6 and 2/15 are greater than 1/9, and 1/30 is less than 1/20. Thus, they are not between 1/9 and 1/20. The remaining 4 numbers (two 1/15’s and two 1/10’s) are in that interval. So 4 pieces are kept.

Answer: C
User avatar
RahulVohra
User avatar
Joined: 08 Dec 2022
Last visit: 22 Apr 2026
Posts: 6
Given Kudos: 8
Posts: 6
Kudos: 0
A 1 meter tree limb was divided and labeled by fifths and sixths. The 14 Mar 2025, 06:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u please let me know whether my way of solving this question is correct or not:

Since the label were cut between 1/9 and 1/20.

we know that 1/9 = 0.1111.... and 1/20 = 0.05

we need to find approx between 0.05 and 0.1.

so 0.06,0.07,0.08,0.09 are between 0.05 and 0.1

Hence 4 pieces
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 22 Apr 2026
Posts: 5,985
Own Kudos:
5,858
Given Kudos: 163
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 5,985
Kudos: 5,858
A 1 meter tree limb was divided and labeled by fifths and sixths. The 14 Mar 2025, 07:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AkshdeepS

A 1 meter tree limb was divided and labeled by fifths and sixths. The limb was then cut at each label. If pieces between \(\frac{1}{9}\) and \(\frac{1}{20}\) of a meter are kept, how many pieces are kept?

1/9 = 20/180; 1/20 = 9/180

Labels of fifths = {0,1/5,2/5,3/5,4/5,5/5=1}
Labels of sixths = {0,1/6,2/6=1/3,3/6=1/2,4/6=2/3,5/6,6/6=1}

Arranging labels in increasing order = {0,1/6,1/5,1/3,2/5,1/2,3/5,2/3,4/5,5/6,1}

Lengths of pieces: -
1/6 - 0 = 1/6 = 30/180; Big; Not kept
1/5- 1/6 = 1/30 = 6/180; Small; Not kept
1/3 - 1/5 = 2/15 = 24/180; Big; Not kept
2/5 - 1/3 = 1/15 = 12/180; Kept
1/2 - 2/5 = 1/10 = 18/180; Kept
3/5 - 1/2 = 1/10 = 18/180; Kept
2/3 - 3/5 = 1/15 = 12/180 ; Kept
4/5 - 2/3 = 2/15 = 24/180; Big; Not Kept
5/6 - 4/5 = 1/30 = 6/180; Small; Not Kept
1-5/6 = 1/6 = 30/180; Big; Not Kept

4 pieces are kept

IMO C
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 22 Apr 2026
Posts: 11,229
Own Kudos:
44,995
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 44,995
 [1]
A 1 meter tree limb was divided and labeled by fifths and sixths. The 14 Mar 2025, 10:03
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
RahulVohra
chetan2u please let me know whether my way of solving this question is correct or not:

Since the label were cut between 1/9 and 1/20.

we know that 1/9 = 0.1111.... and 1/20 = 0.05

we need to find approx between 0.05 and 0.1.

so 0.06,0.07,0.08,0.09 are between 0.05 and 0.1

Hence 4 pieces
Show more

May not be the correct way. The piece could be 0.066 or 0.061 too
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,964
Own Kudos:
1,117
Posts: 38,964
Kudos: 1,117
A 1 meter tree limb was divided and labeled by fifths and sixths. The 10 Apr 2026, 12:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109754 posts
Krunaal
Tuck School Moderator
853 posts