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

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

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29 Oct 2016, 12:23
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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Posts: 753
Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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11 Jun 2018, 07:25
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:)
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Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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11 Jun 2018, 11:23
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 162 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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11 Jun 2018, 11:35
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,
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Re: A straight pipe 1 yard in length was marked off in fourths  [#permalink]

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19 Jun 2018, 04:58
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
Re: A straight pipe 1 yard in length was marked off in fourths &nbs [#permalink] 19 Jun 2018, 04:58

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