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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
Updated on: 12 Jan 2024, 09:28
Originally posted by gracieguidotti on 29 Oct 2023, 17:37.
Last edited by Bunuel on 12 Jan 2024, 09:28, edited 4 times in total.
Last edited by Bunuel on 12 Jan 2024, 09:28, edited 4 times in total.
Edited the question.
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
60% (01:55) correct
40%
(02:08)
wrong
based on 824
sessions
History
Date
Time
Result
Not Attempted Yet
A furniture manufacturer produced at least 3 cabinets each day for the past 30 working days. What was the median number of cabinets produced daily by the manufacturer for the past 30 working days?
(1) For the past 30 working days, the manufacturer produced at most 6 cabinets each day.
(2) For the past 30 working days, the manufacturer produced a total of 104 cabinets.
44.png [ 36.1 KiB | Viewed 12882 times ]
(1) For the past 30 working days, the manufacturer produced at most 6 cabinets each day.
(2) For the past 30 working days, the manufacturer produced a total of 104 cabinets.
Attachment:
44.png [ 36.1 KiB | Viewed 12882 times ]
A furniture manufacturer produced at least 3 cabinets each day for the past 30 working days. What was the median number of cabinets produced daily by the manufacturer for the past 30 working days?
Given that at least 3 cabinets were produced daily, the minimum total production is 3 cabinets/day * 30 days = 90 cabinets. To find the median of an even number of terms (30 days in this case), we average the two middle terms once the terms are arranged in order.
(1) For the past 30 working days, the manufacturer produced at most 6 cabinets each day.
If 6 cabinets were produced each day, the median would be 6. However, if 3 cabinets were produced for 29 days and 6 cabinets on one day, the median would be 3.
Not sufficient.
(2) For the past 30 working days, the manufacturer produced a total of 104 cabinets.
We already know that the minimum production over this period, with at least 3 cabinets produced each day, is 90 cabinets. This implies that there are 14 additional cabinets to account for in the total production.
Initially, our set of daily productions looks like this:
To find the median, we need to determine if adding the extra 14 cabinets can change the middle values (15th and 16th terms) in this set. Even if we distribute these additional cabinets in the most balanced way possible, by adding 1 cabinet to 14 of the days, the set becomes:
In this configuration, the 15th and 16th terms, which determine the median, remain unchanged at 3. Therefore, regardless of how the additional 14 cabinets are distributed, the median number of cabinets produced daily remains 3.
Sufficient.
Answer: B.
Given that at least 3 cabinets were produced daily, the minimum total production is 3 cabinets/day * 30 days = 90 cabinets. To find the median of an even number of terms (30 days in this case), we average the two middle terms once the terms are arranged in order.
(1) For the past 30 working days, the manufacturer produced at most 6 cabinets each day.
If 6 cabinets were produced each day, the median would be 6. However, if 3 cabinets were produced for 29 days and 6 cabinets on one day, the median would be 3.
Not sufficient.
(2) For the past 30 working days, the manufacturer produced a total of 104 cabinets.
We already know that the minimum production over this period, with at least 3 cabinets produced each day, is 90 cabinets. This implies that there are 14 additional cabinets to account for in the total production.
Initially, our set of daily productions looks like this:
{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3}
To find the median, we need to determine if adding the extra 14 cabinets can change the middle values (15th and 16th terms) in this set. Even if we distribute these additional cabinets in the most balanced way possible, by adding 1 cabinet to 14 of the days, the set becomes:
{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4}
In this configuration, the 15th and 16th terms, which determine the median, remain unchanged at 3. Therefore, regardless of how the additional 14 cabinets are distributed, the median number of cabinets produced daily remains 3.
Sufficient.
Answer: B.
General Discussion
30 Oct 2023, 01:05
Kudos
Bookmarks
Given: A furniture manufacturer produced at least three cabinets a day for the last 30 working days.
Asked: What was the median number of cabinets produced daily by the manufacturer for the past 30 days?
(1) For the past 30 days, the manufacturer produced at most 6 cabinets a day
Median can lie between 3 to 6.
Not sufficient
(2) For the past 30 days, the manufacturer produced a total of 104 cabinets a day
104 = 30*3 + 14
104 = 16*3 + 14*4
At least 16 days he produced 3 cabinets
Median = 1/2 * (15th term + 16th term) = 1/2 (3+3) = 3
SUFFICIENT
IMO B
Asked: What was the median number of cabinets produced daily by the manufacturer for the past 30 days?
(1) For the past 30 days, the manufacturer produced at most 6 cabinets a day
Median can lie between 3 to 6.
Not sufficient
(2) For the past 30 days, the manufacturer produced a total of 104 cabinets a day
104 = 30*3 + 14
104 = 16*3 + 14*4
At least 16 days he produced 3 cabinets
Median = 1/2 * (15th term + 16th term) = 1/2 (3+3) = 3
SUFFICIENT
IMO B
