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.
For which of the following values of n is 96+n/n
[#permalink]
05 Sep 2022, 07:54
05 Sep 2022, 07:54
Expert Reply
00:00
Question Stats:
75% (00:41) correct
25% (00:20) wrong based on 8 sessions
Hide Show timer Statistics
For which of the following values of n is \(\frac{96+n}{n}\) NOT an integer?
(A) 4
(B) 8
(C) 9
(D) 12
(E) 16
(A) 4
(B) 8
(C) 9
(D) 12
(E) 16
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: For which of the following values of n is 96+n/n
[#permalink]
05 Sep 2022, 08:04
05 Sep 2022, 08:04
1
Carcass wrote:
For which of the following values of n is \(\frac{96+n}{n}\) NOT an integer?
(A) 4
(B) 8
(C) 9
(D) 12
(E) 16
(A) 4
(B) 8
(C) 9
(D) 12
(E) 16
Key (and often-tested) property: \(\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}\)
So, \(\frac{96+n}{n} = \frac{96}{n} + \frac{n}{n}= \frac{96}{n} + 1\)
Since 1 is an integer, the question boils down to finding a value of n so that \(\frac{96}{n}\) is NOT an integer
Since 96 is not the visible by 9, we know that \(\frac{96}{n}\) will not be an integer when n = 9
Answer: C
gmatclubot
Re: For which of the following values of n is 96+n/n [#permalink]
05 Sep 2022, 08:04
Moderators:
