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 number 42 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? 
Options: a ) 17 , b ) 10 , c ) 15 , d ) 14 , e ) 13

SOLUTION: b

PROBLEM: Problem: if the perimeter of δ acd is 9 + 3 √ 3 , what is the perimeter of equilateral triangle δ abc ? 
Options: ['a ) 9', 'b ) 18 − 3 √ 3', 'c ) 18', 'd ) 18 + 3 √ 3', 'e ) 27']

SOLUTION: c

PROBLEM: Problem: the volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? 
Options: a ) 4 : 5 , b ) 4 : 9 , c ) 4 : 2 , d ) 5 : 2 , e ) 2 : 8

SOLUTION:
a