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: 61 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? 
Options: a ) 64 , b ) 128 , c ) 152 , d ) 155 , e ) 256

SOLUTION: d

PROBLEM: Problem: the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 80 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? 
Options: a ) 75 % , b ) 80 % , c ) 100 % , d ) 150 % , e ) 159.2 %

SOLUTION: e

PROBLEM: Problem: two tracks are parallel . the first track has 6 checkpoints and the second one has 10 checkpoints . in how many ways can the 6 checkpoints of first track be joined with the 10 checkpoints of the second to form a triangle ? 
Options: ['a ) 120', 'b ) 150', 'c ) 200', 'd ) 270', 'e ) 420']

SOLUTION:
e