Investigate
A king gave 1000gm gold to 10 people (100gm each). And told them to make 10 gold coins (10gm each). Everyone made 10 coins. But one made the each coin with 9gm gold instead of 10gm. We have an instrument to measure weight of gold. What is the minimum number of attempts we have to use the instrument to find out the wrong person? (Least how many times we have to measure weight to find out wrong person?)
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1 solution
Take 1 coin from person 1, Take 2 coins from person 2, ....... ,
.... ..... ..... Take 10 coins from person 10................ ............. Now measure weight of those 55 coins (1+2+3+...+10) ..................... The expected weight is 550gm. ...................... If the weight is 'x' gm less, then it means that the person x is wrong person. …...................... Example: Suppose the weight measure is 546gm. 4 gm less. So person 4 made coins with 9gm. Because we took exact 4 coins from person 4 only.