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Is y greater than x? (1) |y|<1 and |x| <2 (2) y>0

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Manager
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Joined: 20 Nov 2009
Posts: 164

Kudos [?]: 248 [0], given: 64

Is y greater than x? (1) |y|<1 and |x| <2 (2) y>0 [#permalink]

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New post 22 Jul 2010, 13:07
1
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A
B
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D
E

Difficulty:

  15% (low)

Question Stats:

81% (00:51) correct 19% (00:47) wrong based on 64 sessions

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Is y greater than x?

(1) |y|<1 and |x| <2

(2) y>0 and x is not 0
[Reveal] Spoiler: OA

_________________

But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes.
http://aimingformba.blogspot.com

Kudos [?]: 248 [0], given: 64

Ms. Big Fat Panda
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Re: DS question [#permalink]

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New post 22 Jul 2010, 14:18
Statement 1: Insufficient

|y|<1. This means that \(-1<y<1\)

|x| <2. This means that \(-2<x<2\)

This is clearly insufficient.

Statement 2: Insufficient

y>0

x is not 0: Can be either positive or negative, greater than y or lesser than y.

Statement 1 and 2 together

y>0 and \(-1<y<1\). This means that \(0<y<1\)

x is not 0 and \(-2<x<2\). This means that \(-2<x<0\)and \(0<x<2.\)

Hence putting them together also insufficient. Hence the answer is E.

Kudos [?]: 2203 [0], given: 210

Senior Manager
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Re: DS question [#permalink]

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New post 22 Jul 2010, 23:41
I would go with E as well
Beautifully explained by "whiplash2411"

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GMAT Club Legend
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Re: Is y greater than x? (1) |y|<1 and |x| <2 (2) y>0 [#permalink]

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New post 20 Sep 2017, 05:48
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Re: Is y greater than x? (1) |y|<1 and |x| <2 (2) y>0 [#permalink]

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New post 20 Sep 2017, 14:36
From statement 1)

|y|<1 & |x|<2

|y|<1: This means two things: y<1 or -y<1.
-y<1 can be rewritten as y>-1 (when multiplied by -ve, the sign changes. In this case lesser than becomes greater than)
We can summarize as: -1<y<1

Similarly, we can summarize -2<x<2

This is all we know from statement 1. If you draw a number line, x and y could lie anywhere as long as they satisfy respective conditions.
For ex: Y=0 and X=1; In this case Y is less than X.
or Y=1 and X = -1; In this case Y is greater than X.

Hence statement 1 is insufficient. AD BCE

From statement 2)

y>0 and x is not 0

Again, we know nothing about the number except that y is positive and x can be positive or negative. Using simple numbers for X= -1 and Y =1, we can see that Y is indeed greater than X.
But if X= 100 and Y = 1, Y is less than X.

Hence statement 1 is insufficient. BCE

Now your chance of getting this question right is 50%. Taking 1 and 2 together:

We know Y > 0 and range of Y is -1<Y<1, combining these two we can write 0<Y<1; i.e Y is a positive fraction.
Similarly -2<x<2 but x cannot be 0.

Again, take X=-1/2 and Y=1/2; Y is greater than X.
X=1/2 and Y=1/4; Y is less than X.

Hence answer is E.
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Re: Is y greater than x? (1) |y|<1 and |x| <2 (2) y>0   [#permalink] 20 Sep 2017, 14:36
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