BTGmoderatorDC wrote:In an office that employs 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.
Use a DOUBLE-MATRIX to organize the data.
Statements combined:
Case 1: m=25% and c=25%
Total number of males = (25/100)(120) = 30.
Total number of custodial employees = (25/100)(120) = 30.
The following matrix is yielded:
In this case, the number of noncustodial female employees = 86.
Case 2: m=30% and c=20%
Total number of males = (30/100)(120) = 36.
Total number of custodial employees = (20/100)(120) = 24.
The following matrix is yielded:
In this case, the number of noncustodial female employees = 80.
Since the number of noncustodial female employees can be different values,
the two statements combined are INSUFFICIENT.
The correct answer is
E.
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