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# x > |y| > z

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Founder
Joined: 18 Apr 2015
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x > |y| > z [#permalink]  12 Aug 2018, 02:54
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Expert's post
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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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VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1315 [3] , given: 251

Re: x > |y| > z [#permalink]  12 Aug 2018, 03:31
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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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Intern
Joined: 22 Aug 2018
Posts: 1
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Kudos [?]: 1 [1] , given: 0

Re: x > |y| > z [#permalink]  11 Oct 2018, 21:32
1
KUDOS
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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Kudos [?]: 138 [1] , given: 22

Re: x > |y| > z [#permalink]  22 Nov 2018, 23:34
1
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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.

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