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# Kim finds a 1-meter tree branch and marks it off in thirds a

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Manager
Joined: 25 Mar 2011
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Kim finds a 1-meter tree branch and marks it off in thirds a [#permalink]

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24 Jun 2011, 12:22
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Difficulty:

55% (hard)

Question Stats:

50% (00:57) correct 50% (00:28) wrong based on 230 sessions

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Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?

A. 2/5
B. 7/5
C. 1/2
D. 8/15
E. 3/5

OPEN DISCUSSION OF THIS QUESTION IS HERE: kim-finds-a-1-meter-tree-branch-and-marks-it-off-in-thirds-140038.html
[Reveal] Spoiler: OA

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Manager
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24 Jun 2011, 13:28
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its option E

The rough diagram will be like following
Attachment:

1.jpg [ 18.85 KiB | Viewed 11015 times ]

In the diagram a tree branch of 1 meter is divided into 1/3 s and 1/5s
a b and c will be the distinct lengths

Now in the diagram there after removing one part of the distinct length the remaining will be 2 a's and 1 b and 1 c

a= 1/5 ...since it is a complete fifth part of the branch
also from the diagram we can make out that b+c = a = 1/5

hence the remaining branch will be 2*1/5 +1/5 = 3/5

hence E

You can conform the diagram by taking length of the branch 1m=100cm and 1/5=20cm amd 1/3= 33.33cm

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Math Forum Moderator
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24 Jun 2011, 13:39
smodak wrote:
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?

A) 2/5
B) 7/15
C) 1/2
D) 8/15
E) 3/5

Attachment:

3rd_5th_fraction.PNG [ 6.92 KiB | Viewed 10994 times ]

Distinct fractions: $$\frac{3}{15}, \frac{1}{15}, \frac{2}{15}$$
Sum= $$\frac{6}{15}$$
Remaining,
$$\frac{9}{15}=\frac{3}{5}$$

Ans: "E"
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Director
Joined: 01 Feb 2011
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24 Jun 2011, 16:34
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3 possible distinct lengths are 3/15,2/15,1/15

according to the question one of each kind are removed => removed thread length = 6/15

=>remaining thread length = 9/15 = 3/5

so the remaining is 3/5 of the original .

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Intern
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13 Jul 2011, 11:28
why is the 1m - 100 cm is not even considered.
How do u come to the conclusion of avoiding the length.

Kindly explain.

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Intern
Joined: 14 Apr 2011
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14 Jul 2011, 03:25
hey if u ppl dont mind can you please explain it properly ,especially this diagram.
my mind is blocked thinking about it...

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Veritas Prep GMAT Instructor
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14 Jul 2011, 03:40
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Expert's post
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smodak wrote:
Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?

A) 2/5
B) 7/15
C) 1/2
D) 8/15
E) 3/5

Markings are made on 1/5, 2/5, 3/5, 4/5 and 5/5
They are also made on 1/3, 2/3 and 3/3.
Its hard to compare these. So let's take their LCM.
Markings are made on 3/15, 6/15, 9/15, 12/15 and 15/15
They are also made on 5/15, 10/15 and 15/15.

So markings are on 3/15, 5/15, 6/15, 9/15, 10/15, 12/15 and 15/15.

Distinct sizes are: 2/15, 1/15, 3/15
Sum = 6/15

Leftover stick = 1 - 6/15 = 9/15 = 3/5
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 17361 [4], given: 232 Intern Joined: 14 Apr 2011 Posts: 11 Kudos [?]: 1 [0], given: 0 Re: Tree Branches [#permalink] ### Show Tags 14 Jul 2011, 05:23 hey karishma thanks for the reply have u found the distinct sizes by finding out the difference between them? Kudos [?]: 1 [0], given: 0 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7674 Kudos [?]: 17361 [2], given: 232 Location: Pune, India Re: Tree Branches [#permalink] ### Show Tags 18 Jul 2011, 22:35 2 This post received KUDOS Expert's post sushantarora wrote: hey karishma thanks for the reply have u found the distinct sizes by finding out the difference between them? Yes I have. Difference between 3/15 and 5/15 is 2/15. Between 5/15 and 6/15 is 1/15. Between 6/15 and 9/15 is 3/15. and then they repeat... _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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18 Jul 2011, 23:40
thanks again Karishma!!

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19 Jul 2011, 05:34
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Answer is E. I took time to undertand the question!!
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11 May 2013, 09:45
Can somebody tell me, what is wrong with my understanding? I solved it this way..
http://campl.us/iYfTEVGNqOO

Posted from my mobile device
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1 Kudos = 1 thanks
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11 May 2013, 10:11
nikhil007 wrote:
Can somebody tell me, what is wrong with my understanding? I solved it this way..
http://campl.us/iYfTEVGNqOO

Posted from my mobile device

Hi, I have seen this snapshot.....But I advise you to just follow the steps given by Karishma.... above ... once you look at them carefully. I 'm sure you will be able to find your flaw,,,,,,,,,,,,,,,,

Hope ot Helps !!
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12 May 2013, 02:29
nikhil007 wrote:
Can somebody tell me, what is wrong with my understanding? I solved it this way..
http://campl.us/iYfTEVGNqOO

Posted from my mobile device

Check here: http://gmatclub.com/forum/kim-finds-a-1 ... 40038.html In case of any questions please post in that thread.

Similar question to practice: http://gmatclub.com/forum/on-the-number ... 04204.html

Hope it helps.
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Re: Kim finds a 1-meter tree branch and marks it off in thirds a [#permalink]

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12 May 2013, 11:32
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Tip - Since it is a question asking for a fraction.. You can always substitute the length by a more easier number to ease up calculations and draw an easier diagram.
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Re: Kim finds a 1-meter tree branch and marks it off in thirds a   [#permalink] 12 May 2013, 11:32
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