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x + 2y > 8

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x + 2y > 8 [#permalink] New post 16 Mar 2018, 12:34
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Question Stats:

94% (00:30) correct 5% (01:11) wrong based on 17 sessions
\(x + 2y > 8\)

Quantity A
Quantity B
\(2x + 4y\)
\(20\)


A) Quantity A is greater.
B) Quantity 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 + 2y > 8 [#permalink] New post 20 Mar 2018, 23:16
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Explanation

Given eqn \(x + 2y > 8\)
Multiply both sides by \(2\) we get,
\(2x + 4y > 16\)
We can derive Qty A is greater than \(16\) so Qty A could be \(17,18,19,20,21\) and so on
Qty B is\(20\)
So If qty A is \(20\) then the ans is c however qty A could be \(17\) and ans would be B
option D
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Re: x + 2y > 8 [#permalink] New post 21 Mar 2018, 11:22
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Expert's post
Carcass wrote:
\(x + 2y > 8\)

Quantity A
Quantity B
\(2x + 4y\)
\(20\)


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


GIVEN: x + 2y > 8
Multiply both sides by 2 to get: 2x + 4y > 16
So, we know that 2x + 4y evaluates to be some number greater than 16

Now take:
Quantity A: 2x + 4y
Quantity B: 20

And replace 2x + 4y to get:
Quantity A: some number greater than 16
Quantity B: 20

As we can see, Quantity A could be LESS THAN 20, GREATER THAN 20, or even EQUAL TO 20.

Answer: D

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Re: x + 2y > 8 [#permalink] New post 21 Mar 2018, 11:40
answer: D
x+2y > 8 So 2 * (x + 2y) > 16
So 2 * (x + 2y) can be even bigger than 20. A > B
2 * (x + 2y) can be between 16 and 20, A < B
So D is answer.
Re: x + 2y > 8   [#permalink] 21 Mar 2018, 11:40
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