In this task, you need to provide the correct option for a given problem from the provided options.
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Question: Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection ? 
Options: a ) 72 , b ) 192 , c ) 456 , d ) 256 , e ) 264

Answer: c


Question: Problem: if $ 1088 are divided between worker a and worker b in the ratio 5 : 11 , what is the share that worker b will get ? 
Options: a ) 62.45 % , b ) 64.55 % , c ) 66.65 % , d ) 68.75 % , e ) 70.85 %

Answer: d


Question: Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 49 / 64 . how many marbles are in the bag ? 
Options: a ) 24 , b ) 48 , c ) 60 , d ) 96 , e ) 84

Answer:
d