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: what is the smallest positive integer x such that 864 x is the cube of a positive integer 
Options: a ) 6 , b ) 12 , c ) 9 , d ) 5 , e ) 2

SOLUTION: e

PROBLEM: Problem: how many odd numbers between 10 and 1400 are the squares of integers ? 
Options: a ) 14 , b ) 17 , c ) 20 , d ) 23 , e ) 26

SOLUTION: b

PROBLEM: Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 22 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? 
Options: a ) 64 , b ) 72 , c ) 86 , d ) 98 , e ) 103

SOLUTION:
e

