Quote:
214. of the 50 researchers in a workgroup, 40 percent will be assigned to team A and the remaining 60 percent to team B. However, 70 percent of the researchers prefer team A and 30% prefer team B. What is the lowest possiple number of researchers who will NOT be assigned to the team they prefer?
A.15
B.17
C.20
D.25
E.30
Answer is A. 15 researchers:
Max no. of team members:
Team A Team B
20(40% of 50) 30(60% of 50)
Preferred teams for researcher
Team A Team B
35(70% of 50) 15(60% of 50)
So all 15 people who want to be in team B can be allocated team B, but only 20 of the 35 people who want to be in team A can be allocated team A. So the min no. of people who will not get their team of choice = 35-20 =
15