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

 It is currently 22 Sep 2019, 16:38 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # A straight pipe 1 yard in length was marked off in fourths

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

### Hide Tags

Intern  Joined: 30 Nov 2012
Posts: 9
A straight pipe 1 yard in length was marked off in fourths  [#permalink]

### Show Tags

rohit8865 wrote:
LogicGuru1 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 of 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

Note:- A very beautiful problem that can be solved either using, Fractions, Geometry or Number-line or plainly by experience.(If you cut a lot of pipes)

May be i m not getting properly
But summing up all fractions should end in full length if pipe(1Yard)
Neither options on sum gives me that..

Logicguru ..Please explain ur logic...
Thanks..

I just painted it on the paper . as a general rule: just paint two peaces of the smaller number ans 1 peace of bigger number from the quaetion (in out case 2 parts of 3 squares and 1 part of 4 squares). and count squares depending what the quastion is asking.
Look at the orange marker : half of the length is equal to the second half. So just sum it up
Attachments 803718286_122660_11313886715488796726.jpg [ 154.63 KiB | Viewed 1139 times ]

VP  D
Joined: 09 Mar 2016
Posts: 1248
Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

### Show Tags

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:
http://gmatclub.com/forum/on-the-number ... 04204.html
http://gmatclub.com/forum/kim-finds-a-1 ... 40038.html
http://gmatclub.com/forum/if-the-succes ... 44053.html

Hope it helps.

Your Quant Majesty please explain if we subtract diferences to get distinct lengths,

then why didnt you calculate this option as well ? ---> $$8-4 = 4 = \frac{4}{12}$$--> $$\frac{1}{3}$$

And one more question: when we cut into fourths there should be 4 pieces right, 1/, 2/4, 3/4 and 4/4 right ?

I am sking this question because in one of your posts you say --->

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.

have a great weekend VP  D
Joined: 09 Mar 2016
Posts: 1248
Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

### Show Tags

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:
http://gmatclub.com/forum/on-the-number ... 04204.html
http://gmatclub.com/forum/kim-finds-a-1 ... 40038.html
http://gmatclub.com/forum/if-the-succes ... 44053.html

Hope it helps.

Hi pushpitkc,

if i cut pipe in fourths i get -----$$\frac{3}{12}$$-----$$\frac{6}{12}$$-----$$\frac{9}{12}$$-----$$\frac{12}{12}$$

if i cut pipe in thirds i get ------$$\frac{4}{12}$$-----$$\frac{8}{12}$$----$$\frac{12}{12}$$

so i get 3/12, 6/12, 9/12, 4/12, 8/12 different lengths of the pieces why i get 5 pieces ? also i dont get how Bunuel subtracts can you explain the below 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.

thank you:)
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3353
Location: India
GPA: 3.12
Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

### Show Tags

1
dave13 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:
http://gmatclub.com/forum/on-the-number ... 04204.html
http://gmatclub.com/forum/kim-finds-a-1 ... 40038.html
http://gmatclub.com/forum/if-the-succes ... 44053.html

Hope it helps.

Hi pushpitkc,

if i cut pipe in fourths i get -----$$\frac{3}{12}$$-----$$\frac{6}{12}$$-----$$\frac{9}{12}$$-----$$\frac{12}{12}$$

if i cut pipe in thirds i get ------$$\frac{4}{12}$$-----$$\frac{8}{12}$$----$$\frac{12}{12}$$

so i get 3/12, 6/12, 9/12, 4/12, 8/12 different lengths of the pieces why i get 5 pieces ? also i dont get how Bunuel subtracts can you explain the below 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.

thank you:)

Hi dave13

Think of a pipe which is 12-yard log(for simplifying the calculations)

Attachment: Line_12yards.png [ 4.48 KiB | Viewed 509 times ]

We have 2 3 yard, 2 2 yard, and 2 1 yard pipe at the end(3 different lengths)

When we perform the calculations for the original problem,

where the stick is only 1 yard long, we will be left $$\frac{3}{12} = \frac{1}{4}$$ yard | $$\frac{2}{12}= \frac{1}{6}$$ yard | $$\frac{1}{12}$$ yards(2 sticks each)

Hope this clears your confusion!
_________________
You've got what it takes, but it will take everything you've got
Director  P
Joined: 14 Dec 2017
Posts: 517
Location: India
Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

### Show Tags

1
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

The different marking on the pipe will be as below:

l------1/4--1/3---1/2----2/3-3/4-----l

The first piece = 1/4
Second piece = 1/3-1/4 = 1/12
Third piece = 1/2-1/3 = 1/6
Fourth piece = 2/3 - 1/2 = 1/6
Fifth piece = 3/4 - 2/3 = 1/12
Sixth piece = 1 - 3/4 = 1/4

The different lengths of pieces obtained are 1/4, 1/12, 1/6.

Thanks,
GyM
_________________
Manager  P
Joined: 31 Jul 2017
Posts: 197
Location: Tajikistan
Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

### Show Tags

Imagine a 1 sm/yard long piece of rob, which is cut every 1/4 and 1/3. ___1/4_1/3__1/4_1/3__1/4_1/3__1/4, so the first cut piece is equal to 1/4, second is between 1/4 and 1/3, which is 1/12, and between 1/3 and 1/4 we have distance of 1/6, the pattern repeats again, so its D.
hope it helps
_________________
Please press kudos, if I was able to help you. Thank you.
Non-Human User Joined: 09 Sep 2013
Posts: 12527
Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: A straight pipe 1 yard in length was marked off in fourths   [#permalink] 21 Jun 2019, 02:40

Go to page   Previous    1   2   [ 27 posts ]

Display posts from previous: Sort by

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

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  