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# A piece of string is marked in segments of one-fourth the

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Senior Manager
Joined: 22 Sep 2005
Posts: 278

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A piece of string is marked in segments of one-fourth the [#permalink]

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13 Nov 2006, 14:42
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A piece of string is marked in segments of one-fourth the lenght of the setring and also in segments of one-third the lenght of the string. If the string is then cut at each mark. which of the following expresses all the different lenghts of the bits of string, in fractions, of the original lenght?

A) 1/12 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

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SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 430 [0], given: 49

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13 Nov 2006, 15:27
A piece of string is marked in segments of one-fourth the lenght of the setring and also in segments of one-third the lenght of the string. If the string is then cut at each mark. which of the following expresses all the different lenghts of the bits of string, in fractions, of the original lenght?

A) 1/12 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

IT IS OBVIOUS THAT IT HAS TO GIVE THREE DIFFERENT PIECES ( A,B OUT)

ALSO WE WILL HAVE TO SEE A 1/4( E IS OUT)

I SAY D

LCM OF 4,3 IS 12

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Director
Joined: 18 Jul 2006
Posts: 523

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13 Nov 2006, 18:41
1/4 then 1/3 then 1/2 (2/4) then 2/3 then 3/4......
this gives --> 1/4, 1/12, 1/6....

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Manager
Joined: 10 Jul 2006
Posts: 72

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13 Nov 2006, 19:35
I think it's easiest to see if you draw out a string of 12 inches (since the string is cut in 3rd and 4th, 12 is the best number to pick).

So, when the string is cut in 3rd, we have 4 parts of 3 inches, 6 inches, 9 inches and 12 inches.
When it is cut in 4th, we have 3 parts of 4 inches, 8 inches, and 12 inches. Now, if you have drawn 12 parallel lines with these marks on it, write out the diff between marks. There are 3/12, 1/12, 2/12, 2/12, 1/12, and 3/12. Reduce them, we have 1/4, 1/12 and 1/6 => answer D

Kudos [?]: 6 [0], given: 0

13 Nov 2006, 19:35
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