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.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 1808:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
23 May 2023, 01:30
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
55% (01:54) correct
45%
(01:49)
wrong
based on 55
sessions
History
Date
Time
Result
Not Attempted Yet
How many perfectly spherical balloons of 1-foot radius can fit in a room that is 10 feet wide by 12 feet long by 8 feet high without compressing any of the balloons or allowing any balloon to touch more than 6 other balloons?
A. 30
B. 120
C. 144
D. 360
E. 960
A. 30
B. 120
C. 144
D. 360
E. 960
23 May 2023, 15:19
Kudos
Bookmarks
Bunuel
We can place 6 balloons along the length of the rectangular box, 5 balloons along the length of the rectangular box, and 4 balloons along the height of the rectangular box. So total number of balloons = 4 * 5 * 6 = 120
Option B
Attachments
Screenshot 2023-05-24 034859.jpg [ 35.68 KiB | Viewed 1598 times ]
23 May 2023, 20:17
Kudos
Bookmarks
The diameter of a balloon is 2 feet. So the number of balloons that can fit in the room is (10/2)*(12/2)*(8/2) = 5*6*4 = 120
We are given that no balloon touches more than 6 other balloons. Each balloon can touch a maximum of 2 balloons at the front and back of it, 2 balloons to the left and right, and 2 balloons directly above or below it, for a maximum of 6 balloons.
So the answer is still 120. (B) is the correct answer.
We are given that no balloon touches more than 6 other balloons. Each balloon can touch a maximum of 2 balloons at the front and back of it, 2 balloons to the left and right, and 2 balloons directly above or below it, for a maximum of 6 balloons.
So the answer is still 120. (B) is the correct answer.
