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

Input: Consider Input: Problem: the ratio of two quantities is 4 : 3 . if each of the quantities is decreased by 8 , their ratio changes to 3 : 1 then the smallest number is ? 
Options: a ) 5.2 , b ) 6.9 , c ) 9.6 , d ) 7.8 , e ) 4.7

Output: c


Input: Consider Input: Problem: the value of log 5 ( 1 / 125 ) is 
Options: a ) 3 , b ) - 3 , c ) 1 / 3 , d ) - 1 / 3 , e ) none

Output: b


Input: Consider Input: Problem: the probability of two events a and b are 0.25 and 0.35 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________ 
Options: a ) 0.55 , b ) 0.4 , c ) 0.5 , d ) 0.05 , e ) 0.6


Output: a