Source: Revised GRE PDF 2nd Ed. Section 5; #21 (p. 82)

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# Of the 180 judges appointed by a certain

Of the 180 judges appointed by a certain President, 30 percent were women and 25 percent were from minority groups. If 1/9 of the women appointed were from minority groups, how many of the judges appointed were neither women nor from minority groups? 75, 81, 87, 93, 99

### 2 Explanations

1

Robert Paul

I'm wondering if I should learn this box technique.

I first converted given percentages into actual number of amount of women and minority groups. Women = 180*0.3 = 54. Minority groups = 180*0.25= 45. 1/9th of women who were from minority groups were 54*0.1111(or 1/9)= 6. Then subtract this 6 from the minority group, because they already represented in the women group, giving you 39 (instead of 45) eligible individuals from minority groups.

39 (New minority group) + 54 women = 93 people who are either women or from minority groups

180 - 93 = 87 people who are neither women or from minority groups.

Sep 18, 2014 • Comment

2

Chris Lele, Magoosh Tutor

Sep 27, 2012 • Comment