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kaplan problem of wire

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kaplan problem of wire

by pradeepkaushal9518 » Sun May 02, 2010 9:35 am
a wire is cut into three equal parts. the resulting segments are then cut into 4,6 and 8 equal parts respectively. if each of the resulting segment has an integer lenght.what is the minimum length of the wire?

1.24
2.36
3.48
4.54
5.72

plz explain yr answer
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by gmatmachoman » Sun May 02, 2010 9:44 am
Find the LCM of 4,6,8:---> 24.
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by akdayal » Sun May 02, 2010 9:50 am
Ans : 72

Basically, 4x = 6y = 8z (given 3 equal part of a fixed length)
4x + 6y + 8Z = L
for L should be minimum
x = 6, y = 4, Z = 3. ( LCM of 4, 6, and 8 = 24)

Hence minimum length is 24 * 3 = 72
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by pradeepkaushal9518 » Sun May 02, 2010 10:16 am
ya answer is 72
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by gmatmachoman » Sun May 02, 2010 9:47 pm
pradeepkaushal9518 wrote:ya answer is 72
@pradeep..

I missed the whole part of wire being cut in to 3 parts!! oops...
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