Last visit was: 20 Jun 2024, 02:42 It is currently 20 Jun 2024, 02:42
Toolkit
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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If x is an integer, is (54 + 27)/x an integer ?

SORT BY:
Tags:
Show Tags
Hide Tags
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1898
Own Kudos [?]: 5724 [14]
Given Kudos: 238
WE:General Management (Education)
Manager
Joined: 26 Feb 2017
Posts: 70
Own Kudos [?]: 54 [0]
Given Kudos: 14
Location: India
GPA: 3.99
Director
Joined: 01 Oct 2017
Status:Learning stage
Posts: 822
Own Kudos [?]: 1354 [4]
Given Kudos: 41
WE:Supply Chain Management (Energy and Utilities)
Intern
Joined: 20 Sep 2018
Posts: 34
Own Kudos [?]: 6 [0]
Given Kudos: 8
Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink]
gmatbusters wrote:
If x is an integer, is (54+27)/x an integer
Statement 1: 6 <= x <= 81
Statement 2: x is a multiple of 3

Alone, either is obviously not sufficient.

Together, 81/x wI'll be integer for 3, 9, 27 and not integers other values such as 6, 12, 18...

E.
Manager
Joined: 15 Jun 2015
Posts: 201
Own Kudos [?]: 186 [1]
Given Kudos: 140
Location: India
Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink]
1
Kudos
If x is an integer, is (54+27)/x an integer
Statement 1: 6 <= x <= 81
Statement 2: x is a multiple of 3

SOLUTION:

(54+27)/x = 81/x (for being an integer 81 should be wholly divided by x)

STATEMENT 1-
if, x= 9, yes
if, x= 12, no

BCE

STATEMENT 2 -
if, x=9, yes
if, x=12, no

now CE
if,x= 9, yes
if,x=12, no

Non-Human User
Joined: 09 Sep 2013
Posts: 33643
Own Kudos [?]: 839 [0]
Given Kudos: 0
Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If x is an integer, is (54 + 27)/x an integer ? [#permalink]
Moderator:
Math Expert
93832 posts