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: 12 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 150 , b ) 131 , c ) 115 , d ) 90 , e ) 45

Output: a


Input: Consider Input: Problem: the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 % 
Options: ['a ) 37.2 %', 'b ) 37.5 %', 'c ) 30.2 %', 'd ) 37.7 %', 'e ) 33.2 %']

Output: b


Input: Consider Input: Problem: the radius of the two circular fields is in the ratio 3 : 7 the area of the first field is what percent less than the area of the second ? 
Options: a ) 82.9 % , b ) 84.2 % , c ) 81.0 % , d ) 80.6 % , e ) 81.6 %

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Output: e


