PIECES

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grandh01: Master | Next Rank: 500 Posts; Posts: 265; Joined: Tue Jul 03, 2012 11:04 pmFollowed by: 6 members

by grandh01 » Sat Aug 11, 2012 5:39 pm

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?

1) 1/6 and 1/4 only
2) 1-4 and 1/3 only
3) 1/6,1/4 and 1/3
4) 1/12,1/6 and 1/4
5) 1/12,1/6 and 1/3

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Source: Beat The GMAT — Problem Solving | Sat Aug 11, 2012 5:39 pm

theCEO: Master | Next Rank: 500 Posts; Posts: 363; Joined: Sun Oct 17, 2010 3:24 pmFollowed by: 3 members; Thanked: 115 times

by theCEO » Sat Aug 11, 2012 5:52 pm

grandh01 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?

1) 1/6 and 1/4 only
2) 1-4 and 1/3 only
3) 1/6,1/4 and 1/3
4) 1/12,1/6 and 1/4
5) 1/12,1/6 and 1/3

[spoiler]ans= 4) 1/12,1/6 and 1/4 [/spoiler]

key is to convert all fractions to the same denominator

division = 1/4 = 3/12
division = 1/3 = 4/12

0--3--6--9--12
0---4---8---12

distance between all markings = 3,1,2,2,1,3
distances = 3/12, 1/12, 2/12 = 1/4, 1/12, 1/6

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Sun Aug 12, 2012 10:17 pm

grandh01 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?

1) 1/6 and 1/4 only
2) 1-4 and 1/3 only
3) 1/6,1/4 and 1/3
4) 1/12,1/6 and 1/4
5) 1/12,1/6 and 1/3

https://postimage.org/image/2al7hw484/

Refer to the figure above,
B, D and F are the marks at the fourths.
C and E are the marks at the thirds.

Now, we will only have three different lengths. They are,
1. AB = FG = 1/4
2. CD = DE = (1/3)/2 = 1/6
3. BC = EF = (1/3 - 1/4) = 1/12

The correct answer is D.

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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