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 1912:30 PM EST
-01:30 PM EST
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
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 2001:30 PM EST
-02:30 PM IST
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.
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 2407:00 PM PST
-08:00 PM PST
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
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.
12 Jul 2025, 06:28
Kudos
Bookmarks
Total employees = M
2/5 of M agreed with Proposal 1 ⇒ Agreed P1 = (2/5)M
Of those, 1/4 also agreed with Proposal 2 ⇒ Agreed P1 & P2 = (1/4)(2/5)M = (1/10)M
people who agreed with both = (1/10)M
Column A:
Employees who did not answer "agree" to both proposals = everyone else
So, Column A = M − (1/10)M = (9/10)M
Column A = 9M/10
Column B:
Employees who did not answer "disagree" to both proposals.
how many did answer "disagree" to both:
People who disagreed with P1 = 1 − 2/5 = 3/5M
Of these, 2/3 agreed with P2 ⇒ So, disagreed P1 and agreed P2 = (2/3)(3/5)M = (2/5)M
-the rest of the 3/5 M (those who disagreed with P1) must have disagreed with P2:
-Disagree P1 and Disagree P2 = (3/5)M − (2/5)M = (1/5)M
So Column B = M − (1/5)M = (4/5)M
Column B = 4M/5
2/5 of M agreed with Proposal 1 ⇒ Agreed P1 = (2/5)M
Of those, 1/4 also agreed with Proposal 2 ⇒ Agreed P1 & P2 = (1/4)(2/5)M = (1/10)M
people who agreed with both = (1/10)M
Column A:
Employees who did not answer "agree" to both proposals = everyone else
So, Column A = M − (1/10)M = (9/10)M
Column A = 9M/10
Column B:
Employees who did not answer "disagree" to both proposals.
how many did answer "disagree" to both:
People who disagreed with P1 = 1 − 2/5 = 3/5M
Of these, 2/3 agreed with P2 ⇒ So, disagreed P1 and agreed P2 = (2/3)(3/5)M = (2/5)M
-the rest of the 3/5 M (those who disagreed with P1) must have disagreed with P2:
-Disagree P1 and Disagree P2 = (3/5)M − (2/5)M = (1/5)M
So Column B = M − (1/5)M = (4/5)M
Column B = 4M/5
Bunuel
12 Jul 2025, 06:35
Kudos
Bookmarks
Please refer to the table for calculations :
For Column A (the number of employees who did not answer "agree" to both proposals) = M - M/10 = 9M/10
For Column B (the number of employees who did not answer "disagree" to both proposals) = M - M/5 = 4M/5
For Column A (the number of employees who did not answer "agree" to both proposals) = M - M/10 = 9M/10
For Column B (the number of employees who did not answer "disagree" to both proposals) = M - M/5 = 4M/5
Attachments
1000240107.png [ 81.96 KiB | Viewed 139 times ]
12 Jul 2025, 06:52
Kudos
Bookmarks
Let M = 100
Let's break Statement 1 :
Agreed to proposal 1 = 2/5 * 100 = 40 people
So people who disagreed to proposal 1 = 100 - 40 = 60 people
Also,
People who agreed with proposal 1 as well as with proposal 2 = 1/4 * 40 = 10 people
So, from this we can say that people who agreed with proposal 1 but not with proposal 2 = 40 - 10 = 30 people
Now, Let's break Statement 2 :
People who disagreed to proposal 1 but agreed with Proposal 2 = 2/3* 60 = 40 people
So, from this we can say that people who disagreed with proposal 1 as well as with proposal 2 = 60 - 40 = 20 people
Now,
1. Number of people who did not answer "agree" to both proposals = Total People - People who agreed to both proposals = 100 - 10 = 90 People
2. Number of employees who did not answer "disagree" to both proposals = Total people - People who disagreed to both proposals = 100 - 20 = 80 People
Now, If we see the option, we'll observe that options are in terms of "M" so, all we have to do is put M = 100 in those options and see which option results in a value that matches our result mentioned above.
For Column A answer is 9M/ 10 and for column B answer is 4M/5.
Let's break Statement 1 :
Agreed to proposal 1 = 2/5 * 100 = 40 people
So people who disagreed to proposal 1 = 100 - 40 = 60 people
Also,
People who agreed with proposal 1 as well as with proposal 2 = 1/4 * 40 = 10 people
So, from this we can say that people who agreed with proposal 1 but not with proposal 2 = 40 - 10 = 30 people
Now, Let's break Statement 2 :
People who disagreed to proposal 1 but agreed with Proposal 2 = 2/3* 60 = 40 people
So, from this we can say that people who disagreed with proposal 1 as well as with proposal 2 = 60 - 40 = 20 people
Now,
1. Number of people who did not answer "agree" to both proposals = Total People - People who agreed to both proposals = 100 - 10 = 90 People
2. Number of employees who did not answer "disagree" to both proposals = Total people - People who disagreed to both proposals = 100 - 20 = 80 People
Now, If we see the option, we'll observe that options are in terms of "M" so, all we have to do is put M = 100 in those options and see which option results in a value that matches our result mentioned above.
For Column A answer is 9M/ 10 and for column B answer is 4M/5.
Bunuel
