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

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

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New post 29 Oct 2016, 11:23
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
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Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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New post 31 Mar 2018, 03:27
Bunuel wrote:
Walkabout 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.

Answer: D.

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 :)
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Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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New post 11 Jun 2018, 06:25
Bunuel wrote:
Walkabout 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.

Answer: D.

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:)
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Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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New post 11 Jun 2018, 10:23
1
dave13 wrote:
Bunuel wrote:
Walkabout 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.

Answer: D.

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
Line_12yards.png [ 4.48 KiB | Viewed 255 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!
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Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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New post 11 Jun 2018, 10:35
1
Walkabout 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



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.

Answer D.

Thanks,
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Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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New post 19 Jun 2018, 03:58
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
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Re: A straight pipe 1 yard in length was marked off in fourths &nbs [#permalink] 19 Jun 2018, 03:58

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