|
|
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.
16 Jul 2023, 05:08
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
54% (02:47) correct
46%
(02:53)
wrong
based on 112
sessions
History
Date
Time
Result
Not Attempted Yet
Rohan took pure milk and started to dilute it with water. He first replaced 16 liters from the beaker full of pure milk with 16 liters of water. He performed this process three more times. Finally, the ratio of milk left in the beaker to that of water became 81 : 175. Find out how much pure milk (in liters) was there in the beaker initially?
A. 48
B. 64
C. 72
D. 84
E. 96
from Unacademy Prep
A. 48
B. 64
C. 72
D. 84
E. 96
from Unacademy Prep
16 Jul 2023, 08:10
Kudos
Bookmarks
pintukr
Not a 'GMAT-like' question IMO
Ratio of milk left to the ratio of milk originally present = \((1-\frac{16}{x})^4\)
Let's assume that the beaker contained 81 + 175 = 256 units of liquid at the start of the mixing process. It's given that the beaker consisted of pure milk, hence all 256 units of liquid were pure milk.
Units of pure milk post the mixing process = 81 (given that ratio of milk left in the beaker to that of water became 81 : 175)
\(\frac{81}{256} = (1-\frac{16}{x})^4\)
Taking the fourth root on both sides of the equation
\(\frac{3}{4} = 1-\frac{16}{x}\)
\(\frac{16}{x} = 1 - \frac{3}{4}\)
\(x = 16 * 4 = 64\)
Option B
29 Jun 2024, 06:20
Kudos
Bookmarks
gmatophobia
gmatophobia Could you explain the reasoning behind \((1-\frac{16}{x})^4\)?
How should we approach this?
