TASK DEFINITION: In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
PROBLEM: Problem: there are 3 departments having students 72 , 5824 . in an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only ( no mixing of departments ) . find the minimum number of rooms required ? 
Options: a ) 73 , b ) 74 , c ) 75 , d ) 76 , e ) 77

SOLUTION: e

PROBLEM: Problem: of the 100 people in a room , 2 / 5 are women . if 1 / 4 of the people are married , what is the maximum number of women in the room who could be unmarried ? 
Options: a ) 32 , b ) 34 , c ) 36 , d ) 38 , e ) 40

SOLUTION: e

PROBLEM: Problem: for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.267 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ? 
Options: a ) 0 , b ) 0 , c ) 27 , d ) 54 , e ) can not be determined

SOLUTION:
b