Of the 180 judges appointed by a certain President, 30 percent were wo

Question

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?

A. 75

B. 81

C. 87

D. 93

E. 99

A. 75

B. 81

C. 87

D. 93

E. 99

generis · Answer

judicialapptees..png Order in which I filled the chart 1) 180 judges total 2) # of women = 30% of 180 = (.3 * 180) = 54 women 3) # of men: (180 - 54) = 126 men 4) # of minority group persons = 25% of 180 = (.25 * 180) = 45 members of minority groups 5) # of persons NOT in minority groups: (180 - 45) = 135 6) # of women appointed who were from minority groups ** \frac{1}{9} of the women appointed were from minority groups (\frac{1}{9}) * 54 = 6 of the women appointed were from minority groups 7) # of men appointed who WERE from minority groups (45 - 6) = 39 8) ANSWER: # of men who were NOT from minority groups = (??) # of appointees were neither women nor from minority groups (126 - 39) = 87 Answer C Am I missing something? I have serious doubts about this answer and/or what seems like inconsistency between how to pick an answer (choose the intersection box) and how to calculate the # of women who are members of minority groups (do NOT use the intersection box. If you enter "20" in that intersection box, you'll get 101 as your answer. Not a choice.) **Prompt states: "1/9 of the women appointed were from minority groups..." In that statement, " of the women " controls the calculation. • There are 54 women \frac{1}{9} of those 54 women are from minority groups \frac{1}{9} * 54 = 6 • Scenario W = Women A = Member of a minority group X = all appointees (1/9 of W were A) eq (1/9 of X were W AND A) Do not put ( \frac{1}{9} *180) = 20 in the box in which members of minority groups and women intersect.

pushpitkc · Answer

generis  - I think your answer to the question is correct.

We have been asked to find the total number of judges appointed who are neither women nor from minority groups
This means we need to find the total number of judges who are not women and not from minority groups but not both.

The total number of judges who are women is 0.3*180 = 54. 
The total number of judges who are from minority groups is 0.25*180 = 45.
The total number of judges who are women and from minority groups is  \frac{1}{9}*54 = 6

Therefore, the total number of judges(neither women nor from minority groups) are 180 - (45 + 54) + 6 =  87(Option C)

EgmatQuantExpert · Answer

Solution

Given:  
• Of the 180 appointed judges, 30% were women and 25% were from minority groups
• Of the women appointed,  \frac{1}{9} th were from minority group

To find:  
• The number of judges who were neither women nor from minority group

Approach and Working:   
• Total women judges = 30% of 180 = 54
 o Judges who were not women = 180 – 30 = 150 
• Judges from minority group = 25% of 180 = 45
 o Judges not from minority group = 180 – 45 = 135 
• Women judges from minority group =  \frac{1}{9}  * 54 = 6
 o Women judges not from minority group = 54 – 6 = 48 
Therefore, out of 135 judges who were not from minority group, 48 were women
• Hence, judges who were neither women nor from minority group = 135 – 48 = 87

Hence, the correct answer is option C.

Answer: C

zishu912 · Answer

Total number of appointed judges = 180

30 percent of 180 appointed judges are women = 54
and 25 percent of appointed judges are from minority = 45

out of 54 women, 1 / 9 are from minority = 1/9 * 54 = 6

so the exact number of judges who are from minority and women = 54+45 - 6 = 93

so the number of judges who are neither women nor from minority = 180 - 93 = 87

C is the correct choice

ScottTargetTestPrep · Answer

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

Kinshook · Answer

Given: Of the 180 judges appointed by a certain President, 30 percent were women and 25 percent were from minority groups.

Asked: If 1/9 of the women appointed were from minority groups, how many of the judges appointed were neither women nor from minority groups?

Of the 180 judges appointed by a certain President, 30 percent were women and 25 percent were from minority groups.

Women  ~Women  Total  
  Minority      25%*180=45  
  ~Minority      75%*180=135  
  Total  30%*180=54  70%*180=126  180

1/9 of the women appointed were from minority groups 
 
    Women  ~Women  Total  
  Minority  54/9=6    45  
  ~Minority  54-6=48    135  
  Total  54  126  180

Women  ~Women  Total  
  Minority  6  45-6=39  45  
  ~Minority  48   135-48=87   135  
  Total  54  126  180

IMO C

Of the 180 judges appointed by a certain President, 30 percent were wo

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

	Women	~Women	Total
Minority			25%*180=45
~Minority			75%*180=135
Total	30%*180=54	70%*180=126	180

GMAT Problem Solving (PS) Questions

Of the 180 judges appointed by a certain President, 30 percent were wo

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards