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# x > |y| > z

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x > |y| > z [#permalink]  12 Aug 2018, 02:54
Expert's post
00:00

Question Stats:

68% (00:53) correct 31% (01:06) wrong based on 47 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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Director
Joined: 20 Apr 2016
Posts: 743
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Kudos [?]: 496 [3] , given: 86

Re: x > |y| > z [#permalink]  12 Aug 2018, 03:31
3
KUDOS
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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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
Re: x > |y| > z   [#permalink] 11 Oct 2018, 21:32
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