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Question: In front of you are 10 bags, filled with marbles. The number of marbles in each bag differs, but all bags contain ten marbles or more. Nine of the ten bags only contain marbles of 10 grams each. One bag only contains marbles of 9 grams. In addition, you have a balance which can weigh in grams accurate, and you are allowed to use it only once (i.e. weigh a single time). How can you find out in one weighing, which bag contains the marbles of 9 grams?

Answer: Number the ten bags from 1 up to and including 10. Then take one marble from bag 1, two marbles from bag 2, three marbles from bag 3, etc. Place all 55 marbles that you selected from the bags together on the balance. The number of grams that the total weight of these 55 marbles differs from 550 grams, is equal to the number of marbles of 9 grams that are among those 55 marbles, and that is equal to the number of the bag which contains the marbles of 9 grams.

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Question: In front of you are 10 bags, filled with marbles. The number of marbles in each bag differs, but all bags contain ten marbles or more. Nine of the ten bags only contain marbles of 10 grams each. One bag only contains marbles of 9 grams. In addition, you have a balance which can weigh in grams accurate, and you are allowed to use it only once (i.e. weigh a single time). How can you find out in one weighing, which bag contains the marbles of 9 grams?

Answer:

Number the ten bags from 1 up to and including 10. Then take one marble from bag 1, two marbles from bag 2, three marbles from bag 3, etc. Place all 55 marbles that you selected from the bags together on the balance. The number of grams that the total weight of these 55 marbles differs from 550 grams, is equal to the number of marbles of 9 grams that are among those 55 marbles, and that is equal to the number of the bag which contains the marbles of 9 grams. Source: CoolInterview.com


Number the ten bags from 1 up to and including 10. Then take one marble from each bag.Totally put the 10 marbles from different bag in the weighing machine.Among these marbles only one has a weight 9Gram.Now watch the total weight and also simultaneously take the marble one-by-one from the weighing machine.If any one marble removal gives the loss of exactly 9Gram,that marble bag is the bag that contains only 9Gram of marbles. Source: CoolInterview.com

Answered by: Mohammed Sowkathali.I | Date: | Contact Mohammed Sowkathali.I Contact Mohammed Sowkathali.I

First put one bag in one side of the weighing machine and put the one bag in another side of the machine, if its equal increase the bag in two sides without take that first bags, if it's equal add another one upto 5, at one time the weight machine is indicate the lowest gram at the time of bag added so easily identify the 9 gram bag. Source: CoolInterview.com

Answered by: Vikram.J | Date: 3/19/2010 | Contact Vikram.J Contact Vikram.J


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