GRE Prep 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.
One-tenth of the employees at a company dinner are vice-presidents, an
[#permalink]
25 Aug 2022, 09:45
25 Aug 2022, 09:45
Expert Reply
1
Bookmarks
00:00
Question Stats:
100% (01:02) correct
0% (00:00) wrong based on 3 sessions
Hide Show timer Statistics
One-tenth of the employees at a company dinner are vice-presidents, and one-third of the remaining employees are assistant vice-presidents. If there are e employees in attendance, how many employees in attendance are neither vice-presidents nor assistant vice-presidents?
A. e/30
B. 2e/5
C. 13e/30
D. 17e/30
E. 3e/5
A. e/30
B. 2e/5
C. 13e/30
D. 17e/30
E. 3e/5
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: One-tenth of the employees at a company dinner are vice-presidents, an
[#permalink]
25 Aug 2022, 10:13
25 Aug 2022, 10:13
1
Let e = 100
There are 4 possiblities, either employee is a VP or an AVP or niether. Employees cannot be VP and AVP together.
e = VP + AVP + Niether
Given,
VP = 1/10 *e = 10
AVP = 1/3 * (e-VP) = 1/3 *90 = 30
Thus, people who are niether VP or AVP = e - VP - AVP = 100 -10-30 = 60
Evaluate each choice by putting e = 100, only option E yields 60
Answer is E
There are 4 possiblities, either employee is a VP or an AVP or niether. Employees cannot be VP and AVP together.
e = VP + AVP + Niether
Given,
VP = 1/10 *e = 10
AVP = 1/3 * (e-VP) = 1/3 *90 = 30
Thus, people who are niether VP or AVP = e - VP - AVP = 100 -10-30 = 60
Evaluate each choice by putting e = 100, only option E yields 60
Answer is E
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: One-tenth of the employees at a company dinner are vice-presidents, an
[#permalink]
25 Aug 2022, 10:50
25 Aug 2022, 10:50
1
Carcass wrote:
One-tenth of the employees at a company dinner are vice-presidents, and one-third of the remaining employees are assistant vice-presidents. If there are e employees in attendance, how many employees in attendance are neither vice-presidents nor assistant vice-presidents?
A. e/30
B. 2e/5
C. 13e/30
D. 17e/30
E. 3e/5
A. e/30
B. 2e/5
C. 13e/30
D. 17e/30
E. 3e/5
One approach is to use the INPUT-OUTPUT approach.
We have two fractions (1/10 and 1/3), so let's let e = the least common denominator of these two fraction.
We'll let e = 30
If there are 30 employees, then the number of vice-presidents = (1/10)(30) = 3
one-third of the remaining employees are assistant vice-presidents
There are 27 employees remaining.
1/3 of 27 = 9, so there are 9 assistant vice-presidents
So, the total number of vice-presidents AND assistant vice-presidents = 3 + 9 = 12
So, the number of employees who are NEITHER vice-presidents nor assistant vice-presidents = 30 - 12 = 18
So, when the INPUT e = 30, the OUTPUT is 18 people who are NEITHER vice-presidents nor assistant vice-president
Now check the answer choices to see which one yields an OUTPUT of 18, when we INPUT e = 30
A. e/30 = 30/30 = 1 - NO - ELIMINATE
B. 2e/5 = 2(30)/5 = 12 - NO - ELIMINATE
C. 13e/30 = 13(30)/30 = 13 - NO - ELIMINATE
D. 17e/30 = 17(30)/30 = 17 - NO - ELIMINATE
E. 3e/5 = 3(30)/5 = 18 - YES - KEEP
Answer: E
--------------------------
Here's an algebraic approach:
There are e employees
One-tenth of the employees at a company dinner are vice-presidents
So, (1/10) of e = number of employees who are vice-presidents
So, e/10 = number of employees who are vice-presidents
one-third of the remaining employees are assistant vice-presidents
So, number of remaining employees = e - e/10 = 9e/10
1/3 of 9e/10 = (1/3)(9e/10) = 3e/10
So, 3e/10 = number of employees who are assistant vice-presidents
TOTAL # of vice-presidents AND assistant vice-presidents = e/10 + 3e/10 = 4e/10 = 2e/5
How many employees in attendance are neither vice-presidents nor assistant vice-presidents?
We get e - 2e/5 = 3e/5
Answer: E
