Last visit was: 13 Jul 2025, 19:23 It is currently 13 Jul 2025, 19:23
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 Level|   Word Problems|                     
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Jul 2025
Posts: 102,639
Own Kudos:
Given Kudos: 98,178
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,639
Kudos: 741,120
 [24]
4
Kudos
Add Kudos
20
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
pushpitkc
Joined: 26 Feb 2016
Last visit: 19 Feb 2025
Posts: 2,819
Own Kudos:
5,871
 [8]
Given Kudos: 47
Location: India
GPA: 3.12
Posts: 2,819
Kudos: 5,871
 [8]
7
Kudos
Add Kudos
Bookmarks
Bookmark this Post
General Discussion
User avatar
DavidTutorexamPAL
User avatar
examPAL Representative
Joined: 07 Dec 2017
Last visit: 09 Sep 2020
Posts: 1,035
Own Kudos:
1,948
 [3]
Given Kudos: 26
Posts: 1,035
Kudos: 1,948
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
gmatzpractice
Joined: 07 Feb 2017
Last visit: 25 Nov 2024
Posts: 128
Own Kudos:
Given Kudos: 11
GMAT 1: 710 Q48 V40
GMAT 1: 710 Q48 V40
Posts: 128
Kudos: 77
Kudos
Add Kudos
Bookmarks
Bookmark this Post
IMO C
Y has greatest proportion
3 to 5 to 1.5
avatar
Avinash2303
Joined: 10 Mar 2018
Last visit: 06 Dec 2021
Posts: 10
Own Kudos:
Given Kudos: 128
Posts: 10
Kudos: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I will solve this with imaginary number to make is easy

We are asked to find who got the highest are?

Statement 1: X/Y = 3/5, we don't know the value of Z. i.e. not sufficient

Statement 2 X/Z = 2/1, this statement does not have any information for Y i.e. not sufficient

Statement (1)+(2):

X/y = 3/5 = 30/50

X/Z = 2/1. If X=30, then x/z = 30/15

Which means, X= 30, Y = 50 and Z = 15.

Y got the highest. Answer C.
User avatar
dave13
Joined: 09 Mar 2016
Last visit: 23 Nov 2024
Posts: 1,114
Own Kudos:
Given Kudos: 3,851
Posts: 1,114
Kudos: 1,087
Kudos
Add Kudos
Bookmarks
Bookmark this Post
pushpitkc
(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
X : Y = 3 : 5 | For every $3x received by department X, department Y receives $5x. Since we
have no information about the funds received by department Z, we can't say for sure which of
the three departments gets the maximum funds Insufficient

(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.
X : Z = 2 : 1 | For every $2y received by department X, department Z receives $y. Since we
have no information about the funds received by department Y, we can't say for sure which of
the three departments gets the maximum funds Insufficient

When we combine the information present in both the statements,
X:Y = 3:5 and X:Z = 2:1 -> X:Y:Z = 6:10:3. We can clearly see that
the department Y gets the maximum funds (Sufficient - Option C)


hello pushpitkc :-) hope you are having a cool summer weekend :)

have some questions

\(\frac{3x}{5y}\) \(\frac{2x}{1y}\)

so here i see a common value - i mean X so i mupltiply 3x by 2x and 5y by 2x so i get \(\frac{6x}{10y}\) after this i got confused i bit

two questions how did you get 3 here 6:10:3

and how did you assign values X:Y:Z = 6:10:3 respectively ?

thanks :)
User avatar
pushpitkc
Joined: 26 Feb 2016
Last visit: 19 Feb 2025
Posts: 2,819
Own Kudos:
5,871
 [4]
Given Kudos: 47
Location: India
GPA: 3.12
Posts: 2,819
Kudos: 5,871
 [4]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
dave13
pushpitkc
(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
X : Y = 3 : 5 | For every $3x received by department X, department Y receives $5x. Since we
have no information about the funds received by department Z, we can't say for sure which of
the three departments gets the maximum funds Insufficient

(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.
X : Z = 2 : 1 | For every $2y received by department X, department Z receives $y. Since we
have no information about the funds received by department Y, we can't say for sure which of
the three departments gets the maximum funds Insufficient

When we combine the information present in both the statements,
X:Y = 3:5 and X:Z = 2:1 -> X:Y:Z = 6:10:3. We can clearly see that
the department Y gets the maximum funds (Sufficient - Option C)

hello pushpitkc :-) hope you are having a cool summer weekend :)

have some questions

\(\frac{3x}{5y}\) \(\frac{2x}{1y}\)

so here i see a common value - i mean X so i mupltiply 3x by 2x and 5y by 2x so i get \(\frac{6x}{10y}\) after this i got confused i bit

two questions how did you get 3 here 6:10:3

and how did you assign values X:Y:Z = 6:10:3 respectively ?

thanks :)

Hey dave13

You seemed to have missed something here:
Statement 1 - X:Y is 3:5(3x:5x) | Statement 2 - X:Z is 2:1(2y:y)

To make the ratios equal, we multiply the first ratio by 2 making X:Y (6:10) - (if x = 2)
Similarly, we multiply the ratio obtained in the 2nd statement by 3, X:Z (6:3) - (if y = 3)
Now, the common ratio [X : Y : Z] - 6:10:3 on combining both the statements

Hope it clears your confusion!
avatar
giovannisumano
Joined: 27 Aug 2020
Last visit: 21 Aug 2021
Posts: 32
Own Kudos:
Given Kudos: 146
Posts: 32
Kudos: 9
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.



NEW question from GMAT® Official Guide 2019


(DS05338)

case 1: x:y = 3:5 -> x earns less than y, but they give no info about z, insufficient
case 2: x:z = 2:1 -> x earns more than z, but they give no info about y, insufficient

combining 1 and 2: y earns more than x and x earns more than z, so y earns the greatest proportion of the research funds, sufficient
User avatar
MHIKER
Joined: 14 Jul 2010
Last visit: 24 May 2021
Posts: 945
Own Kudos:
Given Kudos: 690
Status:No dream is too large, no dreamer is too small
Concentration: Accounting
Posts: 945
Kudos: 5,459
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.


(1) X/Y=3/5

5X=3Y Insufficient.

(2) X/Z=2/1

X=2Z; Insufficient.


Considering both:
5X=3Y
5*2Z=3Y
10Z=3Y

Thus, 3Y=5X=10Z Sufficient.

The answer is C
User avatar
MHIKER
Joined: 14 Jul 2010
Last visit: 24 May 2021
Posts: 945
Own Kudos:
Given Kudos: 690
Status:No dream is too large, no dreamer is too small
Concentration: Accounting
Posts: 945
Kudos: 5,459
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.



NEW question from GMAT® Official Guide 2019


(DS05338)

(1) X:Y=3:5 No Informaiton about Z; Insufficient.

(2) X:Z= 2:1 No Informaiton about Y; Insufficient.

Considering Both:

Multiplying (1) by 2; X:Y=6:10

Multiplying (2) by 3; X:Z= 6:3

So, Y has the largest portion. Sufficient.

The answer is C.
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 13 Jul 2025
Posts: 6,378
Own Kudos:
15,591
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,378
Kudos: 15,591
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.


Answer: Option C

Video solution by GMATinsight

User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 13 Jul 2025
Posts: 21,091
Own Kudos:
26,151
 [1]
Given Kudos: 296
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 21,091
Kudos: 26,151
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds?

(1) The research funds received by departments X and Y were in the ratio 3 to 5, respectively.
(2) The research funds received by departments X and Z were in the ratio 2 to 1, respectively.



NEW question from GMAT® Official Guide 2019


(DS05338)
Solution:

Question Stem Analysis:

We need to determine which department (X, Y, or Z) received the greatest proportion of research funds.

Statement One Alone:

We see that the ratio of research funds received by departments X and Y were in the ratio 3 to 5. In other words, department Y received a greater proportion of funds than department X. However, since we don't have any information about funds received by department Z, statement one alone is not sufficient.

Statement Two Alone:

We see that the ratio of research funds received by departments X and Z were in the ratio 2 to 1. In other words, department X received a greater proportion of funds than department Z. However, since we don't have any information about funds received by department Y, statement two alone is not sufficient.

Statements One and Two Together:

With the two statements, we see that department X received a greater proportion of funds than department Z and department Y received a greater proportion of funds than department X. Thus, department Y must have received the greatest proportion of funds. The two statements together are sufficient.

Answer: C
User avatar
avigutman
Joined: 17 Jul 2019
Last visit: 06 Jul 2025
Posts: 1,294
Own Kudos:
Given Kudos: 66
Location: Canada
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Expert
Expert reply
GMAT 3: 770 Q50 V45
Posts: 1,294
Kudos: 1,892
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,379
Own Kudos:
Posts: 37,379
Kudos: 1,010
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Math Expert
102639 posts