Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 1612:00 PM EDT
-11:59 PM EDT
You’re first to know: Save $200 on GMAT prep starting tomorrow, 4/13. Get 6 official practice tests and study with real questions. Be ready to save!
Apr 2212:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
08 Jul 2024, 07:02
Kudos
Bookmarks
Number of female voters in the year 2000: \(3300R\)
Ratio of female to male voters in the year 2020: \(R*\frac{100 + F}{100 + M}\)
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
44% (03:10) correct
56%
(03:16)
wrong
based on 747
sessions
History
Date
Time
Result
Not Attempted Yet
In the town of Xionia, elections were held every 5 years, between the year 2000 to the year 2020. During the 5 elections held in this period, the number of female voters increased while the number of male voters decreased from 3300 in the year 2000.
In the given expressions, F and M represent the percentage change in the number of female and male voters, respectively, over the 5 elections, and R represents the ratio of female to male voters in the year 2000. The percentage change in voters is calculated as \(\frac{\text{number of new voters – number of old voters}}{\text{number of old voters}}* 100\).
Select the expression that represents the Number of female voters in the year 2000, and select the expression that represents the Ratio of female to male voters in the year 2020. Make only two selections, one in each column.
In the given expressions, F and M represent the percentage change in the number of female and male voters, respectively, over the 5 elections, and R represents the ratio of female to male voters in the year 2000. The percentage change in voters is calculated as \(\frac{\text{number of new voters – number of old voters}}{\text{number of old voters}}* 100\).
Select the expression that represents the Number of female voters in the year 2000, and select the expression that represents the Ratio of female to male voters in the year 2020. Make only two selections, one in each column.
|
| Number of female voters in the year 2000 | Ratio of female to male voters in the year 2020 | |
| \(3300R\) | ||
| \(\frac{3300}{R}\) | ||
| \(\frac{1}{R}\) | ||
| \(R*\frac{100 + F}{100 + M}\) | ||
| \(R*\frac{100 - F}{100 + M}\) | ||
| \(R*\frac{100 + F}{100 - M}\) |
ShowHide Answer
Official Answer
Number of female voters in the year 2000: \(3300R\)
Ratio of female to male voters in the year 2020: \(R*\frac{100 + F}{100 + M}\)
09 Jul 2024, 01:30
Kudos
Bookmarks
Bunuel
Experts' Global Explanation:
Let the number of female voters in the year 2000 be \(F_{2000}\).
Let the number of male voters in the year 2000 be \(M_{2000}\).
Let the number of female voters in the year 2020 be \(F_{2020}\).
Let the number of male voters in the year 2020 be \(M_{2020}\).
\(M = 3300\)
\(R = \frac{F_{2000}}{M_{2000}}\)
I.
\(R = \frac{F_{2000}}{M_{2000}}\)
\(F_{2000}=M_{2000}* R\)
\(F2000 = 3300 R\)
Since F is the percentage change in the number of females:
\(F = 100 * \frac{(F_{2020} – F_{2000}) }{ F_{2000}}\)
\(\frac{F * F_{2000}}{100} = F_{2020} – F_{2000}\)
\(\frac{F * F2000}{100} + F_{2000} = F_{2020}\)
\(\frac{(F * F_{2000} + 100F_{2000})}{100} = F_{2020}\)
\(\frac{F_{2000}(F + 100)}{100} = F_{2020}\)
\(F_{2020}/M_{2020}=\)
\(= \frac{\frac{F_{2000}(F + 100)}{100}}{\frac{M_{2000}(M + 100)}{100}}\)
\(= \frac{F_{2000}(F + 100)}{M_{2000}(M + 100)}\)
\(R*\frac{100 + F}{100 + M}\)
General Discussion
meet459
Goizueta / Scheller Moderator
Joined: 03 Jun 2024
Last visit: 29 May 2025
Posts: 85
Given Kudos: 32
Location: India
Schools: Ross '27 (S) Haas '27 (S) Scheller '27 (A) Goizueta '27 (I) McCombs '27 Jones '27 (II) Kenan-Flagler '27 (I)
GMAT Focus 1: 675 Q90 V81 DI79 
GPA: 8.55
Products:
Schools: Ross '27 (S) Haas '27 (S) Scheller '27 (A) Goizueta '27 (I) McCombs '27 Jones '27 (II) Kenan-Flagler '27 (I)
GMAT Focus 1: 675 Q90 V81 DI79
Posts: 85
08 Jul 2024, 07:42
Kudos
Bookmarks
From the text, consider
f = The number of female voters in 2000
m = The number of male votes in 2000
and it is given that,
R = f/m
And m = 3300
So f = 3300R
This gives us the answer for the first column.
Now According to the question,
F = the %change in the population of females
M = the %change in the population of males
So the new ratio of population will be
[f + (F/100)*f] / [m + (M/100)*m]
If we take 'f' common from the numerator and 'm' common from the denominator, the fraction can be simplified to
[f*(100 + F)] / [m*(100 + M)]
And we know that f/m is R
So the total fraction becomes R*[F+100]/[M+100], which will be the answer for our second column.
f = The number of female voters in 2000
m = The number of male votes in 2000
and it is given that,
R = f/m
And m = 3300
So f = 3300R
This gives us the answer for the first column.
Now According to the question,
F = the %change in the population of females
M = the %change in the population of males
So the new ratio of population will be
[f + (F/100)*f] / [m + (M/100)*m]
If we take 'f' common from the numerator and 'm' common from the denominator, the fraction can be simplified to
[f*(100 + F)] / [m*(100 + M)]
And we know that f/m is R
So the total fraction becomes R*[F+100]/[M+100], which will be the answer for our second column.
