GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 Feb 2020, 02:26 ### 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 a positive integer, is 108/(x-2) an integer?

Author Message
TAGS:

### Hide Tags

Director  V
Joined: 18 Feb 2019
Posts: 667
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

### Show Tags 00:00

Difficulty:   45% (medium)

Question Stats: 69% (01:51) correct 31% (02:13) wrong based on 83 sessions

### HideShow timer Statistics

If x is a positive integer, is 108/(x-2) an integer?

I. x is non-prime number less than 9
II. x is a multiple of 4 and a factor of 20.
NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1061
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25 GMAT 2: 690 Q49 V34 WE: Engineering (Energy and Utilities)
Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

### Show Tags

1
From S1:

x is a non-prime number. x can be 1,4,6,8.
for any mentioned value of x, 108/x-2 will be an integer.
Sufficient.

From S2:

x is a multiple of 4 and a factor of 20.
x can be 4,20.
for both 4 and 20. 108/x-2 will be an integer.
Sufficient.

Intern  B
Joined: 10 Apr 2019
Posts: 18
Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

### Show Tags

Chethan92 wrote:
From S1:

x is a non-prime number. x can be 1,4,6,8.
for any mentioned value of x, 108/x-2 will be an integer.
Sufficient.

From S2:

x is a multiple of 4 and a factor of 20.
x can be 4,20.
for both 4 and 20. 108/x-2 will be an integer.
Sufficient.

Agree, and the condition that $$x<9$$ simplifies the task eliminating the choice $$x=20$$, so we don't need $$20$$ at all.
NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1061
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25 GMAT 2: 690 Q49 V34 WE: Engineering (Energy and Utilities)
Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

### Show Tags

1
Render wrote:
Chethan92 wrote:
From S1:

x is a non-prime number. x can be 1,4,6,8.
for any mentioned value of x, 108/x-2 will be an integer.
Sufficient.

From S2:

x is a multiple of 4 and a factor of 20.
x can be 4,20.
for both 4 and 20. 108/x-2 will be an integer.
Sufficient.

Agree, and the condition that $$x<9$$ simplifies the task eliminating the choice $$x=20$$, so we don't need $$20$$ at all.

Render, You are combining both statements A and B and saying that x as 20 is not required. But, we need to validate each statement individually. Re: If x is a positive integer, is 108/(x-2) an integer?   [#permalink] 19 May 2019, 10:17
Display posts from previous: Sort by

# If x is a positive integer, is 108/(x-2) an integer?  