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

 It is currently 30 Nov 2015, 09:03

### 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 June
Open Detailed Calendar

# A straight pipe 1 yard in length was marked off in fourths

Author Message
TAGS:
Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 1225 [3] , given: 0

A straight pipe 1 yard in length was marked off in fourths [#permalink]  31 Dec 2012, 04:21
3
KUDOS
12
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

74% (02:39) correct 26% (01:38) wrong based on 610 sessions
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 30420
Followers: 5097

Kudos [?]: 57527 [4] , given: 8818

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  31 Dec 2012, 04:30
4
KUDOS
Expert's post
6
This post was
BOOKMARKED
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.

In this case the branch would be cut at 3, 4, 6, 8, and 9 meters (in black are given fourths of the length and in red thirds of the length).

Distinct lengths would be: 3=3/12=1/4, 4-3=1=1/12 and 6-4=2=2/12=1/6 meters long pieces.

Similar question to practice:
on-the-number-line-above-the-segment-from-0-to-1-has-been-104204.html
kim-finds-a-1-meter-tree-branch-and-marks-it-off-in-thirds-140038.html
if-the-successive-tick-marks-shown-on-the-number-line-above-144053.html

Hope it helps.
_________________
Intern
Joined: 21 Mar 2009
Posts: 21
Followers: 0

Kudos [?]: 14 [2] , given: 0

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  31 Dec 2012, 06:21
2
KUDOS
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Generally fast way to solve such problem is writing the different marks in ascending/descending order with same denominator:

Here 4th : 0/4, 1/4, 2/4, 3/4, 4/4
and 3rd : 0/3, 1/3, 2/3, 3/3

Now with understood common denominator 12 write the numbers : for 4th : 0,3,6,9,12 and for 3rd : 0,4,8,12

Now comine : 0,3,4,6,8,9,12

Now find the cut with denominator 12 (Substracrt adjacent terms : 3/12, 1/12, 2/12, 1/12,3/12 i.e. 1/4, 1/12 and 1/6 after removing duplicates.
Math Expert
Joined: 02 Sep 2009
Posts: 30420
Followers: 5097

Kudos [?]: 57527 [2] , given: 8818

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  11 May 2014, 04:44
2
KUDOS
Expert's post
harishbiyani wrote:
Bunuel wrote:
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.

In this case the branch would be cut at 3, 4, 6, 8, and 9 meters (in black are given fourths of the length and in red thirds of the length).

Distinct lengths would be: 3=3/12=1/4, 4-3=1=1/12 and 6-4=2=2/12=1/6 meters long pieces.

Hope it helps.

Hi,

Request you could explain the answer in more detail? I did not understand how the branch would be cut at 3,4,6,8,9.

since there are two markings, there would be three distinct pieces of the branch right? 1/4th part, 1/12th part [1/3 - 1/4] and i cannot understand about how the third part is 1/6th?

Imagine that we have 12-meter long pipe.

Cut in fourths means that it's cut at 1/4th, at 2/4th and at 3/4th. Thus at 3, 6, and 9 meters.
Cut in thirds means that it's cut at 1/3rd, and at 2/3rd Thus at 4 and 8 meters.

So, it would be cut at 3, 4, 6, 8, and 9 meters.

Does this make sense?

In my post above there are similar questions to practice. Please go through them.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 30420
Followers: 5097

Kudos [?]: 57527 [1] , given: 8818

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  25 May 2014, 02:20
1
KUDOS
Expert's post
b2bt wrote:
Bunuel wrote:
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.

In this case the branch would be cut at 3, 4, 6, 8, and 9 meters (in black are given fourths of the length and in red thirds of the length).

Distinct lengths would be: 3=3/12=1/4, 4-3=1=1/12 and 6-4=2=2/12=1/6 meters long pieces.

Similar question to practice:
on-the-number-line-above-the-segment-from-0-to-1-has-been-104204.html
kim-finds-a-1-meter-tree-branch-and-marks-it-off-in-thirds-140038.html
if-the-successive-tick-marks-shown-on-the-number-line-above-144053.html

Hope it helps.

I didn't understand the part in red...
Why are subtracting 3 from 4 and so on...

Have you checked this: a-straight-pipe-1-yard-in-length-was-marked-off-in-fourths-145031.html#p1363396 and similar questions given there?
_________________
Senior Manager
Joined: 25 Sep 2012
Posts: 279
Location: India
Concentration: Strategy, Marketing
Schools: Ivey '17
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
Followers: 0

Kudos [?]: 93 [1] , given: 237

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  25 May 2014, 04:06
1
KUDOS
Quote:
Have you checked this: a-straight-pipe-1-yard-in-length-was-marked-off-in-fourths-145031.html#p1363396 and similar questions given there?

Thanks Bunuel ! I understood after solving similar sum and by drawing it out!

____________.____._______.________.___.______________
____________|____|_______|_______|____|_____________
____1___2___3___4___5___6___7___8___9___10___11___12

First section is 3/12 = 1/4
Second section is 1/12
Third section is 2/12 = 1/6 and so on..
We will have three unique values..

Last edited by b2bt on 03 Jun 2014, 18:31, edited 1 time in total.
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1854
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 27

Kudos [?]: 1228 [1] , given: 193

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  20 Jan 2015, 19:27
1
KUDOS
Refer diagram below:

Attachment:

length.png [ 2.53 KiB | Viewed 3985 times ]

LCM of 3 & 4 = 12, marking the lengths accordingly

Lengths possible are $$\frac{3}{12}, \frac{1}{12}, \frac{2}{12} = \frac{1}{4}, \frac{1}{12}, \frac{1}{6}$$

_________________

Kindly press "+1 Kudos" to appreciate

Intern
Joined: 27 Dec 2013
Posts: 35
Concentration: Finance, General Management
Schools: ISB '15
Followers: 0

Kudos [?]: 10 [0], given: 29

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  11 May 2014, 00:58
Bunuel wrote:
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.

In this case the branch would be cut at 3, 4, 6, 8, and 9 meters (in black are given fourths of the length and in red thirds of the length).

Distinct lengths would be: 3=3/12=1/4, 4-3=1=1/12 and 6-4=2=2/12=1/6 meters long pieces.

Hope it helps.

Hi,

Request you could explain the answer in more detail? I did not understand how the branch would be cut at 3,4,6,8,9.

since there are two markings, there would be three distinct pieces of the branch right? 1/4th part, 1/12th part [1/3 - 1/4] and i cannot understand about how the third part is 1/6th?
_________________

Kindly consider for kudos if my post was helpful!

Senior Manager
Joined: 25 Sep 2012
Posts: 279
Location: India
Concentration: Strategy, Marketing
Schools: Ivey '17
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
Followers: 0

Kudos [?]: 93 [0], given: 237

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  25 May 2014, 02:02
Bunuel wrote:
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Since we want to find the fractions, we can assume some other length of the pipe which will make calculation easier. Take the length of the pipe to be 12-meter long (the least common multiple of 3 and 4.

In this case the branch would be cut at 3, 4, 6, 8, and 9 meters (in black are given fourths of the length and in red thirds of the length).

Distinct lengths would be: 3=3/12=1/4, 4-3=1=1/12 and 6-4=2=2/12=1/6 meters long pieces.

Similar question to practice:
on-the-number-line-above-the-segment-from-0-to-1-has-been-104204.html
kim-finds-a-1-meter-tree-branch-and-marks-it-off-in-thirds-140038.html
if-the-successive-tick-marks-shown-on-the-number-line-above-144053.html

Hope it helps.

I didn't understand the part in red...
Why are subtracting 3 from 4 and so on...
Intern
Joined: 20 May 2014
Posts: 39
Followers: 0

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

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  25 May 2014, 16:38
maibhihun wrote:
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Generally fast way to solve such problem is writing the different marks in ascending/descending order with same denominator:

Here 4th : 0/4, 1/4, 2/4, 3/4, 4/4
and 3rd : 0/3, 1/3, 2/3, 3/3

Now with understood common denominator 12 write the numbers : for 4th : 0,3,6,9,12 and for 3rd : 0,4,8,12

Now comine : 0,3,4,6,8,9,12

Now find the cut with denominator 12 (Substracrt adjacent terms : 3/12, 1/12, 2/12, 1/12,3/12 i.e. 1/4, 1/12 and 1/6 after removing duplicates.

Now with understood common denominator 12 write the numbers : for 4th : 0,3,6,9,12 and for 3rd : 0,4,8,12 ( Where is 0,3,6,9,12) and 0,4,8,12 coming from for four and 3 it seems like it should be reverse to me, obviously i am mistaken, but why is this done like this?
Math Expert
Joined: 02 Sep 2009
Posts: 30420
Followers: 5097

Kudos [?]: 57527 [0], given: 8818

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  25 May 2014, 22:50
Expert's post
sagnik2422 wrote:
maibhihun wrote:
A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

(A) 1/6 and 1/4 only
(B) 1/4 and 1/3 only
(C) 1/6, 1/4, and 1/3
(D) 1/12, 1/6 and 1/4
(E) 1/12, 1/6, and 1/3

Generally fast way to solve such problem is writing the different marks in ascending/descending order with same denominator:

Here 4th : 0/4, 1/4, 2/4, 3/4, 4/4
and 3rd : 0/3, 1/3, 2/3, 3/3

Now with understood common denominator 12 write the numbers : for 4th : 0,3,6,9,12 and for 3rd : 0,4,8,12

Now comine : 0,3,4,6,8,9,12

Now find the cut with denominator 12 (Substracrt adjacent terms : 3/12, 1/12, 2/12, 1/12,3/12 i.e. 1/4, 1/12 and 1/6 after removing duplicates.

Now with understood common denominator 12 write the numbers : for 4th : 0,3,6,9,12 and for 3rd : 0,4,8,12 ( Where is 0,3,6,9,12) and 0,4,8,12 coming from for four and 3 it seems like it should be reverse to me, obviously i am mistaken, but why is this done like this?

Imagine that we have 12-meter long pipe.

Cut in fourths means that it's cut at 1/4th, at 2/4th and at 3/4th. Thus at 3, 6, and 9 meters.
Cut in thirds means that it's cut at 1/3rd, and at 2/3rd Thus at 4 and 8 meters.

So, it would be cut at 3, 4, 6, 8, and 9 meters.

Does this make sense?

In my post above there are similar questions to practice. Please go through them.
_________________
Senior Manager
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 443
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Followers: 1

Kudos [?]: 65 [0], given: 169

A straight pipe 1 yard in length was marked off in fourths [#permalink]  20 Jan 2015, 11:53
I don't think you need to calculate anything here, unless I found the correct answer in random. This was the process I followed:

1) I drew a straight line for the pipe.
2) I marked the 1/4ths. This means I marked it in 3 places, as you will see in the drawing below (|).
3) I marked the 1/3rds. This means I marked it in 2 places, as you will see in the drawing below (!).

|_______|__!_____|__!_____|_______|

So, now we see the thirds and the fourths. What you see it that the "whole" pieces you see are of 3 different lenghts.
The 1/4 is seen in the begining and the end.
There is no whole 1/3 anywhere. But, there are 2 other lengths dividing the fourths: a smaller one and a larger one, marked by the !.

In other words, we need 3 different lengths:
One will be the 1/4
None will be 1/3
There will be 2 other lengths.

Only D satisfies this observation, so ANS D.
Manager
Joined: 28 Dec 2013
Posts: 56
Followers: 0

Kudos [?]: 1 [0], given: 3

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  30 Sep 2015, 12:39
PareshGmat wrote:
Refer diagram below:

Attachment:
length.png

LCM of 3 & 4 = 12, marking the lengths accordingly

Lengths possible are $$\frac{3}{12}, \frac{1}{12}, \frac{2}{12} = \frac{1}{4}, \frac{1}{12}, \frac{1}{6}$$

where is 1/12 coming from?
Manager
Joined: 23 Sep 2015
Posts: 50
Followers: 0

Kudos [?]: 2 [0], given: 32

Re: A straight pipe 1 yard in length was marked off in fourths [#permalink]  24 Nov 2015, 02:07
sagnik242 wrote:
PareshGmat wrote:
Refer diagram below:

Attachment:
length.png

LCM of 3 & 4 = 12, marking the lengths accordingly

Lengths possible are $$\frac{3}{12}, \frac{1}{12}, \frac{2}{12} = \frac{1}{4}, \frac{1}{12}, \frac{1}{6}$$

where is 1/12 coming from?

that is 9/12 - 8/12. Great explanation Paresh. I am going with your way on this one.
Re: A straight pipe 1 yard in length was marked off in fourths   [#permalink] 24 Nov 2015, 02:07
Similar topics Replies Last post
Similar
Topics:
4 7 points are marked on a straight line and another 8 points are marked 4 19 Aug 2015, 00:35
22 Kim finds a 1-meter tree branch and marks it off in thirds 15 03 Oct 2012, 23:49
13 Kim finds a 1-meter tree branch and marks it off in thirds a 14 24 Jun 2011, 11:22
A straight pipe 1 yard in length was marked off in fourths and also in 4 09 May 2011, 05:31
9 A straight pipe 1 yard in length was marked off in fourth 12 15 Jul 2008, 10:38
Display posts from previous: Sort by