In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[EX Q]: Problem: if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be 
Options: a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 14
[EX A]: e

[EX Q]: Problem: a metallic sheet is of rectangular shape with dimensions 50 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : 
Options: a ) 5440 , b ) 5120 , c ) 6420 , d ) 7500 , e ) 8960
[EX A]: a

[EX Q]: Problem: three interviewers , a , b , and c are interviewing 30 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer a admitted 10 applicants , b admitted 12 applicants , and c admitted 15 applicants , at least how many applicants get the admission ? 
Options: a ) 6 , b ) 2 , c ) 0 , d ) 8 , e ) 12
[EX A]:
c