Isn't it marbleous!
You have 10 bags of marbles. Each bag contains 25 marbles. 9 of the bags have marbles that weigh 10 gm. The other bag has marbles that weigh 11 gm. The bags aren't labelled. You have a weighing machine that displays in grams, and is sensitive enough to reliably read to the nearest gram. Using only one weighing, how can you find which bag has the 11 gm marbles?
Labels: lateral thinking, SharedPuzzle
posted by Chris at
2:56 PM
4 Comments:
This is me from Australia again!
Take one marble from the first bag, two from the second, and so on up to ten from the last. You will then have 55 marbles. Weigh them. If they weigh 56 grams the first bag has the heavier ones. 57 grams means the second bag, and so on up to 65 grams if the hast one has the heaviest marbles.
Hi Oz. Did you do that from scratch? I remembered it from a Columbo.
I've run out of good ones. Only got high school physics ones left. But they're the pits.
Anonymous, It should be truth if the balance gives you a 100% accurancy. Because accurancy is +/-1gm the results would be: 56 +/- 1gm and so on, so you cannot be that sure.
Hi Daniel. The problem implies the scales have better than +/- 0.5 gm accuracy.
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