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Counterfeit Coin
In 80 coins 1 coin is counterfeit which is minimum no. of weighings to find out counterfeit coin.


  
Total Answers and Comments: 2 Last Update: October 05, 2008     Asked by: chandradeepika 
  
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September 21, 2008 02:35:30   #1  
arunachalamit Member Since: August 2008   Contribution: 2    

RE: Counterfeit Coin

split the coin into 26 26 26......
take any 2 26 coins.....
if it is = the odd coin isin remaining 26,
if any one has less or more wt, go for nxt and find it..
so it takes 2 trials.....
9,9,9
3,3,3
1,1,1.....

5 trials or 6 trials


 
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October 05, 2008 11:05:03   #2  
avin2v2 Member Since: July 2008   Contribution: 5    

RE: Counterfeit Coin
consider 2 coins no of ways 2 find the counterfeit coin is 1
consider 3 coins no of ways 2 find the counterfeit coin is also 1
  since for testin u ll tak 2 coins in tat if none is counterfeit then the 3rd coin not taken for testin is counterfeit coin or in other case if a counterfeit coin is present in 2 coins tat u hav taken for testin u cud directly find out
so 1test is enough for 3coins
so split 80coins in terms of 3
(27,27,26) to find the counterfeit ( set) we require 1 test
 among de set 27 or 26 split as
 (9,9,9) or (9,9,8) which requires 1 test to find counterfeit ( set)
 among de set 9 or 8 split as
 (3,3,3) or(3,3,2) which requires 1 test to find counterfeit ( set)
among de set 3 or 2 split as
 (1,1,1) or (1,1,0) which requires 1 test to find counterfeit coinnnnnnn
so exactly 4 tests are required

 
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 Related Questions

In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin

In 80 coins 1 coin is counterfeit which is minimum no. of weighings to find out counterfeit coin. 
Latest Answer : consider 2 coins no of ways 2 find the counterfeit coin is 1 consider 3 coins no of ways 2 find the counterfeit coin is also 1   since for testin u ll tak 2 coins in tat if none is counterfeit then the 3rd coin not taken for testin is counterfeit ...


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