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: the parameter of a square is equal to the perimeter of a rectangle of length 9 cm and breadth 6 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? 
Options: a ) 11.72 , b ) 11.52 , c ) 11.97 , d ) 10.91 , e ) 11.79
Example Output: e

Example Input: Problem: the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 50 , then how long is the base of isosceles triangle ? 
Options: a ) 5 , b ) 10 , c ) 15 , d ) 20 , e ) 25
Example Output: b

Example Input: Problem: in a triangle abc , ab = 6 , bc = 8 and ac = 10 . a perpendicular dropped from b , meets the side ac at d . a circle of radius bd ( with centre b ) is drawn . if the circle cuts ab and bc at p and q respectively , then ap : qc is equal to 
Options: ['a ) 1 : 1', 'b ) 3 : 2', 'c ) 4 : 1', 'd ) 3 : 8', 'e ) 2 : 5']
Example Output:
d