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Arithmetic : Straight pipe

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by anirudhbhalotia » Thu Jan 13, 2011 10:30 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?

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


OA - D
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by Rahul@gurome » Thu Jan 13, 2011 10:42 pm
anirudhbhalotia 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
Image

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.
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