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x > 0 and is an integer

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x > 0 and is an integer [#permalink] New post 16 Jun 2018, 10:55
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Question Stats:

84% (00:28) correct 15% (00:33) wrong based on 51 sessions
\(x > 1\) and is an integer.


Quantity A
Quantity B
\(2x + 5\)
\(5x + 2\)


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 > 0 and is an integer [#permalink] New post 20 Jun 2018, 08:19
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Carcass wrote:
\(x > 1\) and is an integer.


Quantity A
Quantity B
\(2x + 5\)
\(5x + 2\)


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 x>1 , so consider x = 2,3,4..... only integers.

When we sub some random x value in Col A and Col B, we can see B is greater than A.

B.
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Re: x > 0 and is an integer [#permalink] New post 18 Sep 2020, 07:03
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Expert's post
Carcass wrote:
\(x > 1\) and is an integer.


Quantity A
Quantity B
\(2x + 5\)
\(5x + 2\)


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.


We can solve this question using matching operations (my favorite Quantitative Comparison strategy)

Given:
Quantity A: 2x + 5
Quantity B: 5x + 2

Subtract 2x from both quantities to get:
Quantity A: 5
Quantity B: 3x + 2

Subtract 2 from both quantities to get:
Quantity A: 3
Quantity B: 3x

Divide both quantities by 3 to get:
Quantity A: 1
Quantity B: x

Since we are told that x > 1, the correct answer is B

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Re: x > 0 and is an integer   [#permalink] 18 Sep 2020, 07:03
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