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 ratio of radius of a circle and the side of a square is 2 : 13 . find the ratio of their areas : 
Options: ['a ) 2 : 1', 'b ) 4 : 7', 'c ) 8 : 77', 'd ) 4 : 169', 'e ) none']

SOLUTION: d

PROBLEM: Problem: the area of the square formed on the diagonal of a rectangle as its side is 108 1 / 3 % more than the area of the rectangle . if the perimeter of the rectangle is 28 units , find the difference between the sides of the rectangle ? 
Options: ['a ) 5', 'b ) 4', 'c ) 7', 'd ) 2', 'e ) 1']

SOLUTION: d

PROBLEM: Problem: what is the smallest positive integer x such that 864 x is the cube of a positive integer 
Options: a ) 6 , b ) 12 , c ) 9 , d ) 5 , e ) 2

SOLUTION:
e