Last visit was: 24 Apr 2026, 03:55 It is currently 24 Apr 2026, 03:55
Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
Sub 505 (Easy)|   Word Problems|                  
User avatar
nalinnair
Joined: 09 Jan 2016
Last visit: 20 Nov 2024
Posts: 104
Own Kudos:
4,549
 [27]
Given Kudos: 94
Status:Persevere
Location: Hong Kong
GMAT 1: 750 Q50 V41
GPA: 3.52
Products:
GMAT 1: 750 Q50 V41
Posts: 104
Kudos: 4,549
 [27]
6
Kudos
Add Kudos
21
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,809
Own Kudos:
810,934
 [6]
Given Kudos: 105,868
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,809
Kudos: 810,934
 [6]
2
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
General Discussion
User avatar
dave13
Joined: 09 Mar 2016
Last visit: 15 Mar 2026
Posts: 1,086
Own Kudos:
Given Kudos: 3,851
Posts: 1,086
Kudos: 1,137
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,809
Own Kudos:
810,934
 [1]
Given Kudos: 105,868
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,809
Kudos: 810,934
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
dave13
Bunuel
What is the total number of executives at Company P?

(1) The number of male executives is \(\frac{3}{5}\) the number of female executives --> m = 3/5*f. Not sufficient.

(2) There are \(4\) more female executives than male executives --> m = f - 4. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns, thus we can solve for m and f and get the total number of executives (m+f). Sufficient.

Answer: C.

Bunuel but we still dont know the nimber of females, so what that there are 4 more females than man ?? .... but still number of females is not mentioned...also number of males is not mentioned either... how can C be correct answer ?

The solution you quote explains this: We have two distinct linear equations with two unknowns.

We have m = 3/5*f and m = f - 4. You should be able to solve this system of equations and get the values of m and f. I'll let you practice and do it yourself.
User avatar
dave13
Joined: 09 Mar 2016
Last visit: 15 Mar 2026
Posts: 1,086
Own Kudos:
1,137
 [2]
Given Kudos: 3,851
Posts: 1,086
Kudos: 1,137
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
dave13
Bunuel
What is the total number of executives at Company P?

(1) The number of male executives is \(\frac{3}{5}\) the number of female executives --> m = 3/5*f. Not sufficient.

(2) There are \(4\) more female executives than male executives --> m = f - 4. Not sufficient.

(1)+(2) We have two distinct linear equations with two unknowns, thus we can solve for m and f and get the total number of executives (m+f). Sufficient.

Answer: C.

Bunuel but we still dont know the nimber of females, so what that there are 4 more females than man ?? .... but still number of females is not mentioned...also number of males is not mentioned either... how can C be correct answer ?

The solution you quote explains this: We have two distinct linear equations with two unknowns.

We have m = 3/5*f and m = f - 4. You should be able to solve this system of equations and get the values of m and f. I'll let you practice and do it yourself.


ok so we have to system equations

\(m = \frac{3}{5}*f\) ----> \(f =\frac{5}{3}*m\)

\(m = f - 4\)


\(m = \frac{5}{3}*m - 4\) rearrange

\(4 = \frac{5}{3}*m - m\) multiply by 3 both sides

\(12 = 5m - 3m\)

\(12 = 2m\)

\(m = 6\)

Bunuel have i solved it correctly ?
User avatar
Gladiator59
Joined: 16 Sep 2016
Last visit: 18 Mar 2026
Posts: 841
Own Kudos:
2,716
 [1]
Given Kudos: 271
Status:It always seems impossible until it's done.
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Products:
GMAT 2: 770 Q51 V42
Posts: 841
Kudos: 2,716
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
dave13

ok so we have to system equations

\(m = \frac{3}{5}*f\) ----> \(f =\frac{5}{3}*m\)

\(m = f - 4\)


\(m = \frac{5}{3}*m - 4\) rearrange

\(4 = \frac{5}{3}*m - m\) multiply by 3 both sides

\(12 = 5m - 3m\)

\(12 = 2m\)

\(m = 6\)

Bunuel have i solved it correctly ?

Yep dave13 absolutely correct solution.

However, since this is a DS question we are okay to mark the answer once we ascertain that we have two different liner equations... Saving important time on the test.

I think Bunuel was making this point.

Best,
Gladi
User avatar
akadiyan
User avatar
Retired Moderator
Joined: 31 May 2017
Last visit: 20 Jun 2025
Posts: 724
Own Kudos:
706
 [1]
Given Kudos: 53
Concentration: Technology, Strategy
Products:
Posts: 724
Kudos: 706
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
What is the total number of executives at Company P?

(1) The number of male executives is 3/5 the number of female executives.
This does not give the number of executives in the company. Not sufficient.

(2) There are 4 more female executives than male executives.
This says the difference in number of employees between Male and Female executives. But does not give the exact number of executives - Not sufficient.

Now (1) + (2) = Number of male executives is 3/5 of female , in other words number of male employees is 60% of total number of female employees, i.e. Number of female employees is 40% more than male and that value is 4 from second statement.

if 40% is 4, 100% is 10. Number of female employees is 10 with this we get number of male employees is 6. Total number of employees in company is 16.

Options (1) and (2) together is sufficient.

Ans: C
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,967
Own Kudos:
Posts: 38,967
Kudos: 1,117
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109809 posts
498 posts
212 posts