instruction:
In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
question:
Problem: rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? 
Options: a ) 2 / 5 , b ) 2 / 25 , c ) 5 / 2 , d ) 5 / 4 , e ) 4 / 25
answer:
e


question:
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
answer:
d


question:
Problem: how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ? 
Options: a ) 135 , b ) 125 , c ) 120 , d ) 110 , e ) 140
answer:

a