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: what is the smallest positive integer x , such that 1152 x is a perfect cube ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 18
answer:
d


question:
Problem: in the coordinate plane , a circle centered on point ( 3 , - 4 ) passes through point ( 1 , 1 ) . what is the area of the circle ? 
Options: a ) 29 π , b ) 18 π , c ) 25 π , d ) 37 π , e ) 41 π
answer:
a


question:
Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 24 inches . find b . 
Options: a ) 8 , b ) 16 , c ) 24 , d ) 32 , e ) 48
answer:

a