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can some one explain?

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can some one explain?

by swapna » Fri Feb 26, 2010 5:38 pm
A wire is cut into 3 equal parts. The resulting segments are then cut into 4,6 and 8 equal parts respectively. If each of the resulting segments has an inner length, what is the minimum length of the wire?

24
36
48
54
72

ans: e. Can some one explain??
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by papgust » Fri Feb 26, 2010 6:18 pm
The key here is to calculate LCM.

The wire is cut into 3 EQUAL parts. Now, each wire is cut into 4,6,8 EQUAL parts. The keyword is here "Equal".

First, calculate LCM of 4,6,8. It's 24. So a single part of wire must have atleast 24.

Now, we have 3 EQUAL parts. So, it's 24 * 3 = 72
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