Once a king thought to check the wisdom of his ministers.So he took help of his goldsmith.The king ordered too mint 1000 gold coins ,each of 10gm of pure gold,and to make 10 bags of it ,eack containing 100 gold coins.The goldsmith prepared according to the order and used pure gold for it.But he prepared 100 gold coins of each weighing 9gm,and put them in a bag. After the work was done ,he went to the king and handed over all 10 bags.He was carrying a beam balance which can measure from 1gm to 750gm.
Then the king told the situation and asked to identify the bag carrying the counterfeit coins,by using the beam balance only once.Please help the ministers.
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Take 1 coin from the first bag, 2 coins from the 2nd bag, 3 coins from the 3rd bag, 4 coins from the 4th bag, 5 coins from the 5th bag and place it one side of the balance.
Now take 6 coins from the 6th bag, 7 coins from the 7th bag, 8 coins from the 8th bag, 9 coins from the 9th bag and 10 coins from the 10th bag. Place this on the other side of the balance.
Expected weight of coins on LHS (original)= 150g
Expected weight of coins on RHS (original)= 400g
Take 1 coin from the first bag, 2 coins from the 2nd bag, 3 coins from the 3rd bag, 4 coins from the 4th bag, 5 coins from the 5th bag and place it one side of the balance.
Now take 6 coins from the 6th bag, 7 coins from the 7th bag, 8 coins from the 8th bag, 9 coins from the 9th bag and 10 coins from the 10th bag. Place this on the other side of the balance.
Expected weight of coins on LHS (original)= 150g
Expected weight of coins on RHS (original)= 400g
Adarsh2003:
the thing is that the beam balance cannot measure weights but it can only compaere them
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