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


question:
Problem: sand is poured into a box so that the box is being filled at the rate of 3 cubic feet per hour . if the empty rectangular box is 5 feet long , 4 feet wide , and 3 feet deep , approximately how many hours does it take to fill the box ? 
Options: a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22
answer:
d


question:
Problem: 15 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? 
Options: a ) 150 , b ) 131 , c ) 115 , d ) 90 , e ) 45
answer:

a