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

Expert's post

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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.

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

1

This post received KUDOS

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

Cheers, Brent

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

1

This post received 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