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x > |y| > z [#permalink]
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Expert's post 00:00

Question Stats: 73% (00:59) correct 26% (00:46) wrong based on 138 sessions
$$x > |y| > z$$

 Quantity A Quantity B $$x+y$$ $$|y| + z$$

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.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Re: x > |y| > z [#permalink]
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Carcass wrote:
$$x > |y| > z$$

 Quantity A Quantity B $$x+y$$ $$|y| + z$$

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.

Kudos for R.A.E

Here,
The value of y is not given, so y can be positive or y can be negative. As both values of y will satisfy the equation $$x > |y| > z$$

So if y is positive then QTY A > QTY B

If y is negative then QTY A < QTY B

Hence option D
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GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Intern Joined: 22 Aug 2018
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Re: x > |y| > z [#permalink]
1
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pranab01 wrote:
Carcass wrote:
$$x > |y| > z$$

 Quantity A Quantity B $$x+y$$ $$|y| + z$$

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.

Kudos for R.A.E

Here,
The value of y is not given, so y can be positive or y can be negative. As both values of y will satisfy the equation $$x > |y| > z$$

So if y is positive then QTY A > QTY B

If y is negative then QTY A < QTY B

Hence option D

I guess there needs to be one correction.
If y is negative then QTY A<= QTY B.

For example:
x=10
y=-4
z=2
10+(-4)......|-4|+2....both equals to 6
Here qty A =qty B Manager Joined: 22 Feb 2018
Posts: 163
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Re: x > |y| > z [#permalink]
1
KUDOS
x < |y| < z
If y>0 :
x < y < z
Then we will have:
A: x+y
‌B: |y|+z = y+z
Because z is bigger than x, A is bigger than B.

If y<0:
The things that we are sure about are these:
y< z
x<z
Then we will have:
A: x+y
‌B: |y|+z
x<z and y<|y| So B is bigger.

_________________ Re: x > |y| > z   [#permalink] 22 Nov 2018, 23:34
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