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

Example Input: Problem: a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 11,900 sedans in anytown , how many motorcycles are there ? 
Options: a ) 1260 , b ) 2100 , c ) 3400 , d ) 4200 , e ) 5200
Example Output: c

Example Input: Problem: there are 76 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? 
Options: a ) 28 , b ) 30 , c ) 32 , d ) 34 , e ) 36
Example Output: a

Example Input: Problem: a bag contains 7 red , 9 blue and 5 green balls . if 3 balls are picked at random , what is the probability that both are red ? 
Options: a ) 2 / 21 , b ) 3 / 41 , c ) 5 / 26 , d ) 1 / 38 , e ) 5 / 32
Example Output:
d