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

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

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New post 04 Mar 2019, 10:11
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A
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D
E

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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
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Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

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New post 04 Mar 2019, 10:32
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.

D is the answer.
Intern
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Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

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New post 19 May 2019, 08:28
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.

D is the answer.


Agree, and the condition that \(x<9\) simplifies the task eliminating the choice \(x=20\), so we don't need \(20\) at all.
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Re: If x is a positive integer, is 108/(x-2) an integer?  [#permalink]

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New post 19 May 2019, 10:17
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.

D is the answer.


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

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