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

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Director
Joined: 18 Feb 2019
Posts: 607
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

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04 Mar 2019, 11:11
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Difficulty:

35% (medium)

Question Stats:

70% (01:50) correct 30% (02:14) wrong based on 77 sessions

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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
Joined: 18 Jul 2018
Posts: 1026
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

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04 Mar 2019, 11:32
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.

NUS School Moderator
Joined: 18 Jul 2018
Posts: 1026
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

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19 May 2019, 11:17
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.
Intern
Joined: 10 Apr 2019
Posts: 18
Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

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19 May 2019, 09:28
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.
Re: If x is a positive integer, is 108/(x-2) an integer?   [#permalink] 19 May 2019, 09:28
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