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.
Apr 2711:00 AM EDT
-12:00 PM EDT
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
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
Apr 2912:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
May 0306:30 AM PDT
-08:30 AM PDT
Verbal trouble on GMAT? Fix it NOW! Join Sunita Singhvi for a focused webinar on actionable strategies to boost your Verbal score and take your performance to the next level.
14 Jan 2025, 15:06
Kudos
Bookmarks
The number of jobs
completed by machine J: 63 The number of jobs completed by
machines K and L working together
and with no other machines: 42
completed by machine J: 63 The number of jobs completed by
machines K and L working together
and with no other machines: 42
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:
62% (03:11) correct
38%
(03:12)
wrong
based on 664
sessions
History
Date
Time
Result
Not Attempted Yet
Working together, machine J, machine K, and machine L can complete a job in 12 minutes. Working alone, machine J can complete a job in 20 minutes. Machine J worked alone for a given amount of time. Then, machines K and L worked together, and with no other machine, for the same amount of time.
In the table below, select two numbers that are consistent with the information that is given. In the first column, select the row that shows the number of jobs completed by machine J working alone, and in the second column, select the row that shows the number of jobs completed by machines K and L working together and with no other machines. Make exactly one selection for each column.
In the table below, select two numbers that are consistent with the information that is given. In the first column, select the row that shows the number of jobs completed by machine J working alone, and in the second column, select the row that shows the number of jobs completed by machines K and L working together and with no other machines. Make exactly one selection for each column.
|
The number of jobs completed by machine J |
The number of jobs completed by machines K and L working together and with no other machines |
|
| 24 | ||
| 42 | ||
| 60 | ||
| 63 | ||
| 84 | ||
| 96 |
ShowHide Answer
Official Answer
The number of jobs
completed by machine J: 63 The number of jobs completed by
machines K and L working together
and with no other machines: 42
completed by machine J: 63 The number of jobs completed by
machines K and L working together
and with no other machines: 42
15 Jan 2025, 07:00
Kudos
Bookmarks
1. Let the speeds of the three machines be j, k, and l.
2. All three machines do one job for 12 minutes: j + k + l = 1/12.
3. Machine J does one job in 20 minutes, or j = 1/20.
4. The number of jobs completed by machine J is \(j * t = \frac{1}{20} * t = \frac{t}{20}\) and the number of jobs completed by machines K and L working together and with no other machines is \((k + l) * t = (\frac{1}{12} - j) * t = \frac{1}{30} * t = \frac{t}{30}\).
5. The ratio between the two numbers is \(\frac{\frac{t}{20}}{\frac{t}{30}} = \frac{3}{2}\).
6. Out of all the answer choices, only the pair 63 and 42 have this ratio.
7. Our answer will be: The number of jobs completed by machine J - 63 and The number of jobs completed by machines K and L working together and with no other machines - 42.
2. All three machines do one job for 12 minutes: j + k + l = 1/12.
3. Machine J does one job in 20 minutes, or j = 1/20.
4. The number of jobs completed by machine J is \(j * t = \frac{1}{20} * t = \frac{t}{20}\) and the number of jobs completed by machines K and L working together and with no other machines is \((k + l) * t = (\frac{1}{12} - j) * t = \frac{1}{30} * t = \frac{t}{30}\).
5. The ratio between the two numbers is \(\frac{\frac{t}{20}}{\frac{t}{30}} = \frac{3}{2}\).
6. Out of all the answer choices, only the pair 63 and 42 have this ratio.
7. Our answer will be: The number of jobs completed by machine J - 63 and The number of jobs completed by machines K and L working together and with no other machines - 42.
General Discussion
14 Jan 2025, 22:46
Kudos
Bookmarks
Rate of Work of Machine J = 1/20.
Rate of Work of Machines K+L = 1/12-1/20=1/30.
Now both machines work for the same time.
Hence We need to assume the Work done by J alone, then reverse calculate the time taken, then find out if corresponding work done for K+L is present in the options or not.
Eg:
Checking for 24(for J)
For J to have done 24 units of work, Total time was 24(1/20)=24*20
Therefore for K+L total work done would be = 24*20*1/30 = 16 (Not available)
Check for 63 (for J)
Total Time allocated was 63/(1/20)=63*20
Work done by K+L = 63*20/30= 42
Rate of Work of Machines K+L = 1/12-1/20=1/30.
Now both machines work for the same time.
Hence We need to assume the Work done by J alone, then reverse calculate the time taken, then find out if corresponding work done for K+L is present in the options or not.
Eg:
Checking for 24(for J)
For J to have done 24 units of work, Total time was 24(1/20)=24*20
Therefore for K+L total work done would be = 24*20*1/30 = 16 (Not available)
Check for 63 (for J)
Total Time allocated was 63/(1/20)=63*20
Work done by K+L = 63*20/30= 42
