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

[Q]: 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']
[A]: b


[Q]: Problem: if the sum of a number and its square is 240 , what is the number ? 
Options: a ) 15 , b ) 77 , c ) 25 , d ) 87 , e ) 171
[A]: a


[Q]: Problem: a box measuring 25 inches long by 30 inches wide by 15 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? 
Options: a ) 80 , b ) 82 , c ) 84 , d ) 88 , e ) 90
[A]:
e


