TASK DEFINITION: In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: the area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters . what are the dimensions of the rectangle ?
Options: ['a ) 3 and 5', 'b ) 3 and 6', 'c ) 3 and 7', 'd ) 3 and 8', 'e ) 3 and 9']

SOLUTION: a

PROBLEM: Problem: if circles x and y have the same area and circle x has a circumference of 14 , half of the radius of circle y is :
Options: ['a ) 16', 'b ) 8', 'c ) 4', 'd ) 3.5', 'e ) 1']

SOLUTION: d

PROBLEM: 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']

SOLUTION:
b