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

Example Input: Problem: a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube ? 
Options: a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7
Example Output: d

Example Input: Problem: the ratio of radius of a circle and the side of a square is 2 : 3 . find the ratio of their areas : 
Options: a ) 2 : 1 , b ) 4 : 9 , c ) 8 : 77 , d ) 4 : 121 , e ) none
Example Output: b

Example Input: Problem: 108 . triangle a ’ s base is 9 % greater than the base of triangle b , and a ’ s height is 9 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? 
Options: a ) 9 % less , b ) 1 % less , c ) equal to each other , d ) 1.3 % more , e ) 9 % more
Example Output:
d