Last visit was: 22 Apr 2026, 19:36 It is currently 22 Apr 2026, 19:36
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
User avatar
ExpertsGlobal5
User avatar
Experts' Global Representative
Joined: 10 Jul 2017
Last visit: 22 Apr 2026
Posts: 6,216
Own Kudos:
Given Kudos: 44
Location: India
GMAT Date: 11-01-2019
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 6,216
Kudos: 6,173
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
DaMa03
Joined: 12 Aug 2025
Last visit: 08 Mar 2026
Posts: 12
Own Kudos:
3
 [1]
Given Kudos: 133
Posts: 12
Kudos: 3
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Dereno
Joined: 22 May 2020
Last visit: 22 Apr 2026
Posts: 1,398
Own Kudos:
1,373
 [1]
Given Kudos: 425
Products:
Posts: 1,398
Kudos: 1,373
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
poojaarora1818
Joined: 30 Jul 2019
Last visit: 22 Apr 2026
Posts: 1,624
Own Kudos:
Given Kudos: 3,818
Location: India
Concentration: General Management, Economics
GPA: 3
WE:Human Resources (Real Estate)
Products:
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Solution:

Given :

Total no. of homes = 600

Gov. owned homes = G

No gov. owned homes= NG

Homes with AC = A

Homes without AC = NA

To Find : G = ?

Statement 1 Insufficient

The number of homes that do not have air conditioning is 50 percent more than the number of homes that do.

NA = A + 0.50A = 1.5A(Given)
1.5A + A = 600
A = 240 and NA = 360



GNGTotal
A240
NA360
Total600

Statement 2 Insufficient

The number of homes that have air conditioning is four times the number of government owned homes.

A = 4G

GNGTotal
A4G
NA
TotalG600

If we combine both the statements we get

GNGTotal
A240
NA360
Total60600

Govenment owned homes = 60

Hence, Option C

ExpertsGlobal5
There are 600 homes in a neighborhood, some of which are government owned. How many of these homes are government owned?

(1) The number of homes that do not have air conditioning is 50 percent more than the number of homes that do.
(2) The number of homes that have air conditioning is four times the number of government owned homes.


Experts' Global
This Daily Butler Question was provided by Experts' Global
Sponsored


­
User avatar
ExpertsGlobal5
User avatar
Experts' Global Representative
Joined: 10 Jul 2017
Last visit: 22 Apr 2026
Posts: 6,216
Own Kudos:
Given Kudos: 44
Location: India
GMAT Date: 11-01-2019
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 6,216
Kudos: 6,173
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ExpertsGlobal5
There are 600 homes in a neighborhood, some of which are government owned. How many of these homes are government owned?

(1) The number of homes that do not have air conditioning is 50 percent more than the number of homes that do.
(2) The number of homes that have air conditioning is four times the number of government owned homes.
Explanation:

Let the number of homes that are government owned that do not have air conditioning be G.
Let the number of homes that have air conditioning but are not government owned be A.
Let the number of homes that are both government owned and have air conditioning be B.
Let the number of homes that are neither government owned nor have air conditioning be X.
Since there are 600 homes in a neighborhood: G + A + B + X = 600. (Equation I)
We need to find whether the value of G + B can be determined.

Statement (1)

G + X = 1.5(A + B) (Equation II)

Substituting Equation II into Equation I does not help determine the value of G + B. Hence, Statement (1) is insufficient.

Statement (2)

(A + B) = 4(G + B) (Equation III)

Substituting Equation III into Equation I does not help determine the value of G + B. Hence, Statement (2) is insufficient.

As Statement (1) alone as well as Statement (2) alone is insufficient to answer the question, we need to now combine the two statements.

Statement (1) and Statement (2) combined

Substituting Equation II into Equation I:
G + A + B + X = 600
G + X + A + B = 600
1.5(A + B) + (A + B) = 600
2.5(A + B) = 600
A + B = 240

Substituting the value of (A + B) in Equation III:
(A + B) = 4(G + B)
240 = 4(G + B)
G + B = 240/4
G + B = 60

It is possible to determine the value of G + B. Hence, Statement (1) and Statement (2) combined are sufficient.

C is the correct answer choice.
Moderators:
Math Expert
109754 posts
498 posts
212 posts