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 sports club with 30 members , 17 play badminton and 17 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 6 , c ) 9 , d ) 10 , e ) 11

Answer: b


Question: Problem: a technology company made a $ 5 million profit on its first $ 15 million in sales and a $ 12 million profit on its next $ 30 million in sales . by what percent did the ratio of profit to sales increase from the first $ 15 million in sales to the next $ 30 million in sales ? 
Options: a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %

Answer: b


Question: Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12

Answer:
d