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: 36 people { a 1 , a 2 , . . . , a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , . . . , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is 
Options: ['a ) 11', 'b ) 12', 'c ) 13', 'd ) 15', 'e ) 18']

Output: b


Input: Consider Input: Problem: the length of a rectangle is four times its width . if the area is 100 m 2 what is the length of the rectangle ? 
Options: a ) 50 m , b ) 40 m , c ) 80 m , d ) 20 m , e ) 70 m

Output: d


Input: Consider Input: Problem: right triangle xyzs the base of the prism in the figure above . if xy = xz = â ˆ š 9 and the height of the prism is 6 , what is the volume of the prism ? 
Options: ['a ) 3', 'b ) 27', 'c ) 13', 'd ) 12', 'e ) 15']


Output: b