winniethepooh wrote:In an office that employees 120 people, m% of the employees are male, and c% of the employees are members of the custodial staff. How many employees are females who are not members of the custodial staff?
1) m + c = 50
2) The number of female employees who are members of the custodial staff is four
Number of Males = (m/100)*120 = 1.2*m
Number of Females = 120 - 1.2m
Number of members of Custodial Staff = (c/100)*120 = 1.2*c
Number of members of non-custodial Staff = 120-1.2*c
Number of females in the non-custodial staff = ?
1) m + c = 50
The value of (m,c) can be (20,30) or (30,20) or (10,40) or (40,10) ...
Hence Insufficient
2) The number of female employees who are members of the custodial staff is four
Number of females = 120 - 1.2m
Number of females in custodial staff = 4
Number of females in non-custodial staff = Unknown
so Unknown + 4 = 120-1.2m
Hence, Insufficient!
Taking both 1 and 2, We have two equations and three unknowns(in bold)
Unknown + 4 = 120-1.2
m and
m +
c = 50
IMO Answer :
E
