In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Input: Consider Input: Problem: the ratio of the radius of two circles is 1 : 3 , and then the ratio of their areas is ? 
Options: a ) 1 : 5 , b ) 1 : 6 , c ) 1 : 9 , d ) 1 : 3 , e ) 1 : 2

Output: c


Input: Consider Input: Problem: a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 220 . the cost for 1 bat and 6 balls is $ 190 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 270 for the purchase ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5

Output: c


Input: Consider Input: Problem: a rectangular mat has an area of 120 sq . metres and perimeter of 46 m . the length of its diagonal is : 
Options: ['a ) 19 m', 'b ) 17 m', 'c ) 15 m', 'd ) 16 m', 'e ) 20 m']


Output: b