In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Q: Problem: how many numbers between 190 and 580 are divisible by 45 and 6 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10

A: a
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Q: Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 123 . what is that number ? 
Options: a ) 12 , b ) 29 , c ) 27 , d ) 18 , e ) 99

A: d
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Q: Problem: in a certain lottery , the probability that a number between 12 and 20 , inclusive , is drawn is 1 / 4 . if the probability that a number 12 or larger is drawn is 2 / 3 , what is the probability that a number less than or equal to 20 is drawn ? 
Options: a ) 1 / 18 , b ) 1 / 6 , c ) 1 / 3 , d ) 1 / 2 , e ) 7 / 12

A:
e
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