In a given finance lecture, 30% of the students are finance majors, and 40% of the students are female. The gender distribution for finance majors and nonfinance majors is the same. If one student is called on at random, what is the probability that the student is neither female nor a finance major?
A. 70%
B. 60%
C. 58%
D. 42%
E. 30%
Answer: D
Source: Veritas Prep
In a given finance lecture, 30% of the students are finance majors, and 40% of the students
This topic has expert replies

 Legendary Member
 Posts: 1223
 Joined: 15 Feb 2020
 Followed by:1 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 15476
 Joined: 08 Dec 2008
 Location: Vancouver, BC
 Thanked: 5254 times
 Followed by:1266 members
 GMAT Score:770
This question can be solved using the Double Matrix method.BTGModeratorVI wrote: ↑Sat Jun 27, 2020 6:43 amIn a given finance lecture, 30% of the students are finance majors, and 40% of the students are female. The gender distribution for finance majors and nonfinance majors is the same. If one student is called on at random, what is the probability that the student is neither female nor a finance major?
A. 70%
B. 60%
C. 58%
D. 42%
E. 30%
Answer: D
Source: Veritas Prep
Note: This technique can be used for most questions featuring a population in which each member has two criteria associated with it.
Here, the criteria are:
 Major (Finance or NonFinance)
 Gender (Female or Male)
Since we're dealing with percents all the way through to the answer choices, let's make things easy on ourselves and say that there are 100 students in the lecture.
So, here's the setup.
30% of the students are finance majors
So, 30 students are finance majors and 70 are not.
40% of the students are female
We get:
The gender distribution for finance majors and nonfinance majors is the same.
In other words, there's a 40/60 female/male split among the finance majors and among the nonfinance majors.
We get:
What is the probability that the student is neither female nor a finance major?
In other words, what is the probability that the student is a male nonfinance major?
Once we simplify the boxes . . .
. . . we see that 42 of the 100 students meet this criteria.
So, the probability = 42/100 = 42%
Answer: D
This question type is VERY COMMON on the GMAT, so be sure to master the technique.
To learn more about the Double Matrix Method, watch this video: https://www.gmatprepnow.com/module/gmat ... ems?id=919
Once you’re familiar with this technique, you can attempt these additional practice questions:
Easy Problem Solving questions
 https://www.beatthegmat.com/financemajo ... 67425.html
Medium Problem Solving questions
 https://www.gmatprepnow.com/module/gmat ... /video/920
 https://www.beatthegmat.com/postedspeed ... 72374.html
 https://www.beatthegmat.com/motelt271938.html
 https://www.beatthegmat.com/oftheappli ... 70255.html
 https://www.beatthegmat.com/openingnigh ... 64869.html
 https://www.beatthegmat.com/atleast100 ... 74669.html
 https://www.beatthegmat.com/prblemsolvingt279424.html
Difficult Problem Solving questions
 https://www.gmatprepnow.com/module/gmat ... /video/946
 https://www.beatthegmat.com/ratioproblemt268339.html
 https://www.beatthegmat.com/overlapping ... 65223.html
 https://www.beatthegmat.com/fractionst264254.html
 https://www.beatthegmat.com/overlapping ... 64092.html
 https://www.beatthegmat.com/mba/2011/05/ ... question2
Easy Data Sufficiency questions
 https://www.gmatprepnow.com/module/gmat ... /video/943
 https://www.beatthegmat.com/forwhatper ... 70596.html
 https://www.beatthegmat.com/dsquestt187706.html
Medium Data Sufficiency questions
 https://www.beatthegmat.com/setsmatrixdst271914.html
 https://www.beatthegmat.com/eachofpeop ... 71375.html
 https://www.beatthegmat.com/amanufacturert270331.html
 https://www.beatthegmat.com/incostumef ... 69355.html
 https://www.beatthegmat.com/mba/2011/05/ ... question1
Difficult Data Sufficiency questions
 https://youtu.be/dsCeqF9Kbk8
 https://www.beatthegmat.com/doublesetm ... 71423.html
 https://youtu.be/dOZ9KM1m5Hs
 https://www.beatthegmat.com/setst269449.html
 https://www.beatthegmat.com/mba/2011/05/ ... question3
Cheers,
Brent
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 6229
 Joined: 25 Apr 2015
 Location: Los Angeles, CA
 Thanked: 43 times
 Followed by:24 members
Solution:BTGModeratorVI wrote: ↑Sat Jun 27, 2020 6:43 amIn a given finance lecture, 30% of the students are finance majors, and 40% of the students are female. The gender distribution for finance majors and nonfinance majors is the same. If one student is called on at random, what is the probability that the student is neither female nor a finance major?
A. 70%
B. 60%
C. 58%
D. 42%
E. 30%
Answer: D
We see that the problem is asking for the percentage of students who are male and nonfinance majors. We can let the number of students at the lecture be 100. Thus, 30 students are finance majors and 70 are nonfinance majors. Furthermore, 40 students are female, and 60 are male.
We can let x and y be the number of female and male students who are finance majors, respectively. So we can create the equations:
x + y = 30
and
x/y = (40  x)/(60  y)
Since y = 30  x, we have:
x/(30  x) = (40  x)/(60  (30  x))
x/(30  x) = (40  x)/(30 + x)
x(30 + x) = (30  x)(40  x)
30x + x^2 = 1200  70x + x^2
100x = 1200
x = 12
So we have 12 female finance majors, which means there are 30  12 = 18 male finance majors, and therefore, there are 60  18 = 42 male students who are not finance majors.
Alternate Solution:
We see that the problem is asking for the percentage of students who are male and nonfinance majors. We can let the number of students at the lecture be 100. Thus 30 students are finance majors and 70 are nonfinance majors. Furthermore, 40 students are female and 60 are male.
Since the gender distribution is the same for both finance and nonfinance majors is the same, 40% of both finance and nonfinance majors is female and 60% of both finance and nonfinance majors is male. Thus, of the 70 nonfinance majors, 70*(0.6) = 42 are male. Since we assumed that there were 100 students in the class, the probability that a randomly chosen student turns out to be a nonfinance major male is 42/100 = 42%.
Answer: D
Scott WoodburyStewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews