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 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 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 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.
05 Dec 2023, 11:40
Kudos
Bookmarks
Scholarships funded: (3/4)(S)
Alumni donating: A
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:
63% (03:26) correct
37%
(03:39)
wrong
based on 852
sessions
History
Date
Time
Result
Not Attempted Yet
Data Insights (DI) Butler 2023-24 [Question #142, Date: Dec-05-2023] [Click here for Details]
A prep school in Europe is soliciting donations from its alumni for its scholarship fund. The total number of the school’s alumni is A, and a donation of €1 per month for one year from each alumnus will fund exactly S full tuition scholarships for the upcoming school year.
In terms of A and S, select the expression that represents how many full-tuition scholarships will be funded if half the alumni donate €1.50 per month each for one year, and select the expression that represents how many alumni must donate €1.50 per month each for one year in order to fund collectively exactly 1.5S full-tuition scholarships for the upcoming school year. Make only one selection in each column.
| Scholarships funded | Alumni donating | |
| 3S/4A | ||
| 4A/3S | ||
| (3/4)(S) | ||
| A | ||
| 3A/S | ||
| (3/4)(A) |
ShowHide Answer
Official Answer
Scholarships funded: (3/4)(S)
Alumni donating: A
18 Dec 2023, 07:40
Kudos
Bookmarks
Language of the question is tricky but its very easy if we try to solve it logically.
if A people €1 per month than
total amount is 12*1*A= €12A
which is equals to S (total scholarship)
12A=S.....A=S/12
1st question (Scholarships funded)
Now if half the alumni donate €1.50 per month each for one year
= (A/2)*1.5*12= 18A
NOW..... 18A= 18*(S/12)
18A= (3/4)S
2nd question (Alumni donating)
how many alumni must donate €1.50 per month each for one year in order to fund collectively exactly 1.5S full-tuition scholarships
as we know tha 12A=1*S
so for 1.5S....
1.5S=1.5*(12A)= 18A
So for 1.5S Scholarships it require 18A amount of donation
which will be collected if every alimini (A) donates = 18A/12A= 1.5 per month
So the ans is A
if A people €1 per month than
total amount is 12*1*A= €12A
which is equals to S (total scholarship)
12A=S.....A=S/12
1st question (Scholarships funded)
Now if half the alumni donate €1.50 per month each for one year
= (A/2)*1.5*12= 18A
NOW..... 18A= 18*(S/12)
18A= (3/4)S
2nd question (Alumni donating)
how many alumni must donate €1.50 per month each for one year in order to fund collectively exactly 1.5S full-tuition scholarships
as we know tha 12A=1*S
so for 1.5S....
1.5S=1.5*(12A)= 18A
So for 1.5S Scholarships it require 18A amount of donation
which will be collected if every alimini (A) donates = 18A/12A= 1.5 per month
So the ans is A
General Discussion
17 Apr 2024, 02:49
Kudos
Bookmarks
Amount per each Scholarship: \(\frac{A*1}{S} = \frac{A}{S}\)
How many full-tuition scholarships will be funded if half the alumni donate €1.50 per month each for one year
Total donated: \(\frac{3}{2} * \frac{1}{2} * A = \frac{3A}{4}\)
=> Number of scholarships: \(\frac{3A}{4} \div \frac{A}{S}= \frac{3A}{4} * \frac{S}{A} = \frac{3}{4} * S\)
How many alumni must donate €1.50 per month each for one year in order to fund collectively exactly 1.5S full-tuition scholarships
Total amount to be donated: \((\frac{3}{2} * S) * \frac{A}{S} = \frac{3}{2} * A\)
Total number of alumni to donate €1.50 per month: \(\frac{3A}{2} \div \frac{3}{2} = A\)
How many full-tuition scholarships will be funded if half the alumni donate €1.50 per month each for one year
Total donated: \(\frac{3}{2} * \frac{1}{2} * A = \frac{3A}{4}\)
=> Number of scholarships: \(\frac{3A}{4} \div \frac{A}{S}= \frac{3A}{4} * \frac{S}{A} = \frac{3}{4} * S\)
How many alumni must donate €1.50 per month each for one year in order to fund collectively exactly 1.5S full-tuition scholarships
Total amount to be donated: \((\frac{3}{2} * S) * \frac{A}{S} = \frac{3}{2} * A\)
Total number of alumni to donate €1.50 per month: \(\frac{3A}{2} \div \frac{3}{2} = A\)
