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: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 20 households had a both a car and a bike and 44 had a car , how many had bike only ?
Options: a ) 30 , b ) 35 , c ) 20 , d ) 18 , e ) 10

Answer: b

Question: Problem: of the 200 stamps in a collection , 90 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?
Options: a ) 30 , b ) 80 , c ) 100 , d ) 130 , e ) 150

Answer:
b