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

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

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New post 10 Jul 2016, 03:45
You got em all,
Thats what I got too. But the answer is D not C

Regards

msk0657 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)



Given that there is straight pipe of 1 yard in length and was off in 1/4 and 1/3.

Then LCM will be 12.

If we take factors of 4 - 4,8,12, etc.

If we take factors of 3 - 3,6,9,12,etc.

Then write it in ascending order 3,4,6,8,9,12. Here 12 is LCM now we can take difference to get the factors.

4-3 /12 = 1/12
6-4 /12 = 1/6
9-6 / 12 = 1/4

IMO C is correct option.. OA please will correct if I missed anything...

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

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New post 10 Jul 2016, 05:27
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..


Look at PareshGmat and Bunuel explanation ... they explain it beautifully..

After the cuts you will be left with are 6 pieces of pipes. The cuts will be mirror image of each other from either ends.
2 of those pieces will be 1/12 yard
2 of those piece will be 1/6 yard
2 those piece will be 1/4 yards
Now try taking LCM of the 6 pieces or (LCM of 3 pieces and then multiply the expression by 2) and see that you will be able to create the entire 1 yard again.

\(2*(\frac{1}{12}+\frac{1}{6}+\frac{1}{4}) Yards===> 2*(\frac{6}{12})Yards ====> \frac{12}{12} Yards===> 1 yard\)

See the sum of the pieces is correct :)
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FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

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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 Oct 2017, 02:05
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Re: A straight pipe 1 yard in length was marked off in fourths   [#permalink] 31 Oct 2017, 02:05

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