University-Faculty Numbers

This topic has expert replies
User avatar
Legendary Member
Posts: 1132
Joined: Mon Jul 20, 2009 3:38 am
Location: India
Thanked: 64 times
Followed by:6 members
GMAT Score:760

University-Faculty Numbers

by harsh.champ » Sun Feb 21, 2010 3:49 am
A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?

1. 20 percent of the male faculty members have a doctorate.
2. A total of 1140 faculty members have only a masters degree.
It takes time and effort to explain, so if my comment helped you please press Thanks button :)



Just because something is hard doesn't mean you shouldn't try,it means you should just try harder.

"Keep Walking" - Johnny Walker :P
Source: — Data Sufficiency |

User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Sun Feb 21, 2010 5:13 am
harsh.champ wrote:A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?

1. 20 percent of the male faculty members have a doctorate.
2. A total of 1140 faculty members have only a masters degree.
No Male Faculty members = 1300
No of Female Faculty members = 700

1) Not Sufficient
2) Not sufficient

Combining,

1) => 260 male faculty members have doctorate
2) => 960 faculty members are doctorate holders

=> all the 700 female faculty members are doctorate holders

35% of the faculty members are female doctorate holders

Sufficient C
Always borrow money from a pessimist, he doesn't expect to be paid back.

User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Sun Feb 21, 2010 5:41 am
harsh.champ wrote:A university has 2,000 faculty members all of whom have a masters degree, and some of whom also have a doctorate. 35 percent of the faculty members are female. What fraction of the faculty members are female doctorate holders?

1. 20 percent of the male faculty members have a doctorate.
2. A total of 1140 faculty members have only a masters degree.
total no. of faculty member = 2000. (masters + doctorate)
35% are female faculty members = so total no. of female faculty members = 35/100 x 2000 = 700
St.1) 20 percent of the male faculty members have a doctorate. it don't tell about the female or total doctorate faculty members.=========== insuff
St.2) total masters degree = 1140 .so total doctorate faculty = 2000-1140 = 860
but we don't know how much of them are female and ho much of them are males..=========== insuff
combined) female doctorate holders = 860 - 700 = 160 ===========suff..
Ans C
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.