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

Input: Consider Input: Problem: the length of the ribbon was originally 55 cm . it was reduced in the ratio 11 : 7 . what is its length now ?
Options: a ) 6 cm , b ) 12 cm , c ) 35 cm , d ) 44 cm , e ) none of these

Output: c

Input: Consider Input: Problem: if w is the set of all the integers between 19 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ?
Options: a ) 26 , b ) 32 , c ) 33 , d ) 34 , e ) 54

Output: e

Input: Consider Input: Problem: a certain manufacturer of cake , muffin , and bread mixes has 100 buyers , of whom 50 purchases cake mix , 40 purchase muffin mix , and 17 purchase both cake mix and muffin mix . if a buyer is to be selected at random from the 100 buyers , what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix ?
Options: a ) 1 / 10 , b ) 3 / 10 , c ) 1 / 2 , d ) 27 / 100 , e ) 9 / 100
Output: d