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KCC's Quizzes: Contaminated Pills

  1. Eight jars with hundreds of identical looking pills, although 7 jars have medicine pills of 1000 mg each, 1 jar has contaminated pills of 999 mg each. The contaminated pills are ever so slightly lighter than the medicine pills. You have a precise electronic scale (precision better than 1mg). With ONE (1) weighing, how can you detect the jar with the medicine pills?
  2. Same question as above but the situation is there could be multiple jars with contaminated pills. With ONE (1) weighing, how can you identify which jars (could be multiple) have contaminated pills?

Many thanks to Ralph Montforts, ADI Director, General Accounting for proposing this quiz!



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[edited by: emassa at 3:46 PM (GMT -5) on 18 Jan 2023]
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  • Take one pill from jar 1, 2 pills from jar 2, 3 pills from jar 3.....and so on. And total pills will be 36 and weight of these will be 36000 mg. So if it weighs 35999 means jar one is contaminated and other are medicine pills, if it weighs 35998 means jar 2 is contaminated.... And so on. 

    Same will go for second one just contaminated one will be changed with medicine one. Here if it weighs 35965 means jar 1 contains medicine pills and 35966 jar 2 will contains..... And so on. 

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  • Take one pill from jar 1, 2 pills from jar 2, 3 pills from jar 3.....and so on. And total pills will be 36 and weight of these will be 36000 mg. So if it weighs 35999 means jar one is contaminated and other are medicine pills, if it weighs 35998 means jar 2 is contaminated.... And so on. 

    Same will go for second one just contaminated one will be changed with medicine one. Here if it weighs 35965 means jar 1 contains medicine pills and 35966 jar 2 will contains..... And so on. 

Children