In this task, you need to provide the correct option for a given problem from the provided options.

Q: Problem: the ratio of two quantities is 7 to 12 . if each of the quantities is divided by 3 , what is the ratio of these 2 new quantities ? 
Options: a ) 3.5 : 6 , b ) 14 : 24 , c ) 7 : 12 , d ) 2.3 : 4 , e ) it can not be determined from the information given

A: c
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Q: Problem: in a bag , there are 2400 ball , and their colors are red , green blue . . the ratio of the balls are 15 : 13 : 17 . then how many red color balls are available in the bag ? 
Options: a ) 900 , b ) 1600 , c ) 750 , d ) 890 , e ) 1010

A: a
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Q: Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 150 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900

A:
c
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