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

[Q]: 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
[A]: a


[Q]: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 25 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
[A]: b


[Q]: Problem: a bag contains 7 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is - . 
Options: a ) 7 / 18 , b ) 7 / 19 , c ) 7 / 11 , d ) 7 / 12 , e ) 7 / 15
[A]:
e