Carcass wrote:

Of the 180 judges appointed by a certain President, 30 percent were women and 25 percent were from minority groups. If \(\frac{1}{9}\) of the women appointed were from minority groups, how many of the judges appointed were neither women nor from minority groups?

A. 75

B. 81

C. 87

D. 93

E. 99

We see that there are 180 x 0.3 = 54 women and 180 x 0.25 = 45 were from minority groups.

We also see that 54 x 1/9 = 6 women are from minority groups.

So we can create the equation:

Total = Women + Minority - Both + Neither

180 = 54 + 45 - 6 + Neither

87 = Neither

Answer: C

_________________

Jeffery Miller

Head of GRE Instruction

GRE Quant Self-Study Course

500+ lessons 3000+ practice problems 800+ HD solutions