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 1810:00 AM PDT
-11:00 AM PDT
Join us in a live GMAT practice session and solve 25 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products. Ends 6/1
May 1501:00 PM IST
-11:00 AM IST
Start your journey with a fully customized action plan and work with a dedicated mentor to achieve a 735+ score.- May 19
12:00 PM PDT
-01:00 PM PDT
Scoring 329 on the GRE is not always about using more books, more courses, or a longer study plan. In this episode of GRE Success Talks, Ashutosh shares his GRE preparation strategy, study plan, and test-day experience, explaining how he kept his prep.... - Jun 10
06:00 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..
NathanMasky
Updated on: 19 Feb 2025, 15:19
Originally posted by NathanMasky on 19 Feb 2025, 15:05.
Last edited by NathanMasky on 19 Feb 2025, 15:19, edited 1 time in total.
Last edited by NathanMasky on 19 Feb 2025, 15:19, edited 1 time in total.
Kudos
Bookmarks
E
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:
47% (02:41) correct
53%
(02:07)
wrong
based on 90
sessions
History
Date
Time
Result
Not Attempted Yet
During a carnival day a popcorn vendor sells 1/5 of its remaining popcorn, each hour without replenishment. What fraction of the original stock was sold, after 4 hours?
A. 1/625
B. 256/625
C. 61/125
D. 64/125
E. 369/625
A. 1/625
B. 256/625
C. 61/125
D. 64/125
E. 369/625
NathanMasky
19 Feb 2025, 15:06
Kudos
Bookmarks
1. Calculate the fraction remaining after each hour:
Hour 1: The vendor sells 1/5, so 4/5 remains.
Hour 2: The vendor sells 1/5 of the remaining 4/5, which is (1/5) * (4/5) = 4/25. The fraction remaining is 4/5 - 4/25 = 16/25, or equivalently (4/5)*(4/5) = 16/25
Hour 3: The fraction remaining is (4/5) * (4/5) * (4/5) = 64/125
Hour 4: The fraction remaining is (4/5) * (4/5) * (4/5) * (4/5) = 256/625
2. Calculate the fraction sold:
Since 256/625 of the original stock remains after 4 hours, the fraction sold is:
1 - (256/625) = (625 - 256) / 625 = 369/625
Therefore, the answer is E. 369/625
Hour 1: The vendor sells 1/5, so 4/5 remains.
Hour 2: The vendor sells 1/5 of the remaining 4/5, which is (1/5) * (4/5) = 4/25. The fraction remaining is 4/5 - 4/25 = 16/25, or equivalently (4/5)*(4/5) = 16/25
Hour 3: The fraction remaining is (4/5) * (4/5) * (4/5) = 64/125
Hour 4: The fraction remaining is (4/5) * (4/5) * (4/5) * (4/5) = 256/625
2. Calculate the fraction sold:
Since 256/625 of the original stock remains after 4 hours, the fraction sold is:
1 - (256/625) = (625 - 256) / 625 = 369/625
Therefore, the answer is E. 369/625
20 Feb 2025, 01:53
Kudos
Bookmarks
Looking at the answer choices and 1/5 in the question, let's assume the total original stock to be 625
Now 1/5th of the remaining stock get's sold each hour,
Fraction of original stock sold = 369/625
Answer E.
Now 1/5th of the remaining stock get's sold each hour,
| Hour | Sold | Remaining |
| 1 | 1/5*625 = 125 | 625-125 = 500 |
| 2 | 1/5*500 = 100 | 500-100 = 400 |
| 3 | 1/5*400 = 80 | 400-80 = 320 |
| 4 | 1/5*320 = 64 | No need to calc. |
| Total | 369 | No need to calc. |
Fraction of original stock sold = 369/625
Answer E.
