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.
May 2008:00 AM PDT
-08:30 AM PDT
What’s in it for you- Live Profile Evaluation Chat Session with Jenifer Turtschanow, CEO, ARINGO. Come with your details prepared and ARINGO will share insights! Pre-MBA Role/Industry, YOE, Exam Score, C/GPA, ECs Post-MBA Role/ Industry & School List.
Jun 1006:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
08 Mar 2023, 02:30
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
35% (02:28) correct
65%
(02:21)
wrong
based on 48
sessions
History
Date
Time
Result
Not Attempted Yet
Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing. Which of the following could be the length, in inches, of a side of the larger aquarium?
I. 6.9
II. 8.4
III. 9.5
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
I. 6.9
II. 8.4
III. 9.5
A. I only
B. II only
C. III only
D. I and II only
E. I, II, and III
10 Mar 2023, 13:27
Kudos
Bookmarks
Bunuel
Each of the smaller cubes has a volume of 125. Since we have three of them, we have a total volume of 375. The larger tank must therefore have a volume of at least 375 and at most 750.
I don't want to multiply 6.9 three times. Let's do 7*7*7. That's 343, which is too small. 6.9 is therefore too small. Eliminate A, D, and E.
We are left with B and C, which means that either 8.4 works or 9.5 works, but not both. Since 7 was really close to being in the allowable range, the bottom of the range is close to 7. It's obviously not the case that 9.5 is going to be in the range and 8.4 won't. So, 8.4 is in, and 9.5 is out.
Answer choice B.
Worth noting that if you didn't spot the ability to avoid testing all three and you need to do some multiplication, 9*9 is 81. Nine of those would be 729. Add another half of 81 and you're too high. No need to actually multiply 9.5*9.5*9.5.
13 Mar 2023, 05:57
Kudos
Bookmarks
Three cube-shaped aquariums that are five inches on each side are filled with water to capacity. All of the water from those three aquariums is to be transferred into a larger cube aquarium so that it must be filled to at least 50% of its total capacity without overflowing. Which of the following could be the length, in inches, of a side of the larger aquarium?
I. 6.9
II. 8.4
III. 9.5
Solution:
Capacity of smaller aquarium is \(125 \ inch^3\)
Thus, the total capacity of the three smaller aquariums is \(2*125=375 \ inch^3\)
We are given a condition in the question stem that must be met i.e the larger cube aquarium must be filled to at least 50% of its total capacity without overflowing. Keeping that in mind we will evaluate each answer choice:
I. 6.9
\(6.9^3\approx{329}\)
In this case the water will overflow. Does not satisfy the condition. Eliminate
II. 8.4
\(8.4^3\approx{593}\)
This choice satisfies both the given conditions. Keep!
III. 9.5
\(9.5^3\approx{857}\)
Although, in this case, water won't overflow from the tank, the tank will not be filled to at least half of its capacity either. Eliminate
Hence, B
I. 6.9
II. 8.4
III. 9.5
Solution:
Capacity of smaller aquarium is \(125 \ inch^3\)
Thus, the total capacity of the three smaller aquariums is \(2*125=375 \ inch^3\)
We are given a condition in the question stem that must be met i.e the larger cube aquarium must be filled to at least 50% of its total capacity without overflowing. Keeping that in mind we will evaluate each answer choice:
I. 6.9
\(6.9^3\approx{329}\)
In this case the water will overflow. Does not satisfy the condition. Eliminate
II. 8.4
\(8.4^3\approx{593}\)
This choice satisfies both the given conditions. Keep!
III. 9.5
\(9.5^3\approx{857}\)
Although, in this case, water won't overflow from the tank, the tank will not be filled to at least half of its capacity either. Eliminate
Hence, B
