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

Input: Consider Input: Problem: two numbers are in the ratio of 5 : 8 . if 30 be subtracted from each , they are in the ratio of 5 : 9 . find the numbers ? 
Options: a ) 122,195 , b ) 121,199 , c ) 120,192 , d ) 102,192 , e ) 126,109

Output: c


Input: Consider 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

Output: a


Input: Consider Input: Problem: the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 19 . the larger of the two numbers is : 
Options: a ) 437 , b ) 299 , c ) 322 , d ) 345 , e ) 355


Output: a