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# x is an integer, and the remainder when 2x is divided by 4

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x is an integer, and the remainder when 2x is divided by 4 [#permalink]  13 Aug 2019, 04:43
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Question Stats:

78% (00:42) correct 21% (00:38) wrong based on 64 sessions
x is an integer, and the remainder when 2x is divided by 4 is 0.

 Quantity A Quantity B The remainder when x is divided by 4 0

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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GRE Instructor
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Kudos [?]: 4257 [1] , given: 67

Re: x is an integer, and the remainder when 2x is divided by 4 [#permalink]  13 Aug 2019, 05:44
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Expert's post
Carcass wrote:
x is an integer, and the remainder when 2x is divided by 4 is 0.

 Quantity A Quantity B The remainder when x is divided by 4 0

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

GIVEN: The remainder when 2x is divided by 4 is 0
So, it could be the case that 2x = 4, or 2x = 8, or 2x = 12, or 2x = 16, or 2x = 20, or......etc
Solve each equation for x to see that x could have the following values: 2, 4, 6, 8, 10, ....etc

Let's test some possible values of x

case i: x = 2
We get:
Quantity A: The remainder when 2 is divided by 4 = 2
Quantity B: 0
In this case, Quantity A is greater

case ii: x = 4
We get:
Quantity A: The remainder when 4 is divided by 4 = 0
Quantity B: 0
In this case, the quantities are equal

Cheers,
Brent

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Re: x is an integer, and the remainder when 2x is divided by 4 [#permalink]  31 Dec 2019, 04:56
1
KUDOS
Take x = 2
In that scenario
A --> 2 ==> A is greater than B

Take x = 4
In that scenario
A --> 0 ==> A is equal to B

Not a definite Answer. Hence, the correct option would be D.
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Kudos [?]: 180 [1] , given: 5

Re: x is an integer, and the remainder when 2x is divided by 4 [#permalink]  31 Dec 2019, 05:54
1
KUDOS
The question essentially says that x is a multiple of 2.
Take some case x = 0,2,4
In two of these cases, A=B and when x= 2 A>B

Hence, OA - D
Carcass wrote:
x is an integer, and the remainder when 2x is divided by 4 is 0.

 Quantity A Quantity B The remainder when x is divided by 4 0

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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Re: x is an integer, and the remainder when 2x is divided by 4   [#permalink] 31 Dec 2019, 05:54
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