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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] New post 13 Aug 2019, 04:43
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Question Stats:

66% (00:36) correct 33% (00:41) wrong based on 9 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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Re: x is an integer, and the remainder when 2x is divided by 4 [#permalink] New post 13 Aug 2019, 05:44
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

Answer: D

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Brent

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Re: x is an integer, and the remainder when 2x is divided by 4   [#permalink] 13 Aug 2019, 05:44
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x is an integer, and the remainder when 2x is divided by 4

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