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12 Balls, 1 slightly heavier

Name: Anonymous 2009-10-01 16:22

I got asked this question at least in 3 different job interviews!  What's the point?  What are they "looking" for?

At least the next 2 times, I already had the answer and just spewed it out.

The question:

You have 12 identical balls but one slightly heavier.  You also have a balance scale.  How would you isolate the slightly heavier ball using the balance scale as little as possible?

Answer:

Divide the balls into 2 groups of 6.  Use the balance scale to find the slightly heavier group and discard the lighter one.  Then divide the remaining 6 into 2 groups of 3 and weight on the scale.  Discard the lighter 3 balls.  Now take 2 of the remaining 3 balls and compare them on the scale.  If they weight the same, then the left over one is heavier.  If there's a difference, then take the heavier one on the scale.

Name: Anonymous 2009-10-04 15:20

>>14
Separate into two groups of six. Weigh.
Take heavier group, and separate into two groups of three. Weigh.
Take two of the three that come out heavier and weigh. Then you know it's one of those two or the remaining one if the scales balance.

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