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# Is x > y^2? 1. x > y+5 2. x^2 - y^2 = 0

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CEO
Joined: 21 Jan 2007
Posts: 2739
Location: New York City
Is x > y^2? 1. x > y+5 2. x^2 - y^2 = 0 [#permalink]

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08 Nov 2007, 01:26
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is x > y^2?

1. x > y+5
2. x^2 - y^2 = 0
Senior Manager
Joined: 09 Oct 2007
Posts: 466

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08 Nov 2007, 01:42
I would pick B. I hope I'm not forgetting some number property here.

Statement 1 is not sufficient. 1. x > y+5

x could be 7 and y could be 1, giving you 7>6, which will give you a 7>36 when values are replaced in the stem, therefore gives you a NO answer, but when x is 200 it gives you a YES answer.

Statement 2 is sufficient. x^2 - y^2 = 0

This could be x=5 or -5, y=5 or -5, giving you 25-25=0, which gives you a NO answer, but what if x=1 or -1, and y=1 or -1? answer would still be NO.
SVP
Joined: 05 Jul 2006
Posts: 1747

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08 Nov 2007, 01:51
Is x > y^2?

1. x > y+5
2. x^2 - y^2 = 0

from one

X COULD BE -VE IF Y IS -VE AND < -5
OR X IS +VE IF Y IS -VE AND >-5 OR Y = -5

X COULD BE > 5 IF Y IS +VE

X COULD BE A FRACTION IF FOR EG: Y = -5.5

INSUFF

from 2

x^2 = y^2 ,

question becomes is x>x^2..........only true if x is a fraction...insuff

both together

I WOULD SAY E
Senior Manager
Joined: 19 Feb 2007
Posts: 325

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08 Nov 2007, 05:44
I will go with (C)

Is x > y^2?

1. x > y+5
Statement 1 : Clearly not sufiicient.

2. x^2 - y^2 = 0
Statement 2 : x^2 = y^2
incase x is 1, then no
incase 0<x< 1, then yes

Both:
x cannot be equal to y
x cannot be bw -1 and 1, since the difference is more than 5
x is not equal to y and is a +ve value

So x < y^2

and ans is (C)
Manager
Joined: 30 Oct 2007
Posts: 83

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08 Nov 2007, 06:31
bmwhype2 wrote:
Is x > y^2?

1. x > y+5
2. x^2 - y^2 = 0

As explained by others, both of them alone is insufficient.
Lets see what they make together:

according to (2): x = y
applying in (1) makes: x > x+5
that can never be true and therefore does not give any further information to reach a decision if x > y^2 or not.

My take is E.
Director
Joined: 03 Sep 2006
Posts: 871

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08 Nov 2007, 06:35
bmwhype2 wrote:
Is x > y^2?

1. x > y+5
2. x^2 - y^2 = 0

From (i)

Insufficient.

X=2, Y = -3..... answer is NO

From (ii)

Insufficient

X=Y and also X=-Y, both are possible.

Senior Manager
Joined: 19 Feb 2007
Posts: 325

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08 Nov 2007, 06:54
LM wrote:
bmwhype2 wrote:
Is x > y^2?

1. x > y+5
2. x^2 - y^2 = 0

From (i)

Insufficient.

X=2, Y = -3..... answer is NO

From (ii)

Insufficient

X=Y and also X=-Y, both are possible.

Yes
X=Y and also X=-Y, both are possible.

but combining with 1
X=Y is not possible..........so (C)
Senior Manager
Joined: 27 Aug 2007
Posts: 253

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08 Nov 2007, 07:09
Agree with sidbidus it is C
Director
Joined: 03 Sep 2006
Posts: 871

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08 Nov 2007, 07:22
sidbidus wrote:
LM wrote:
bmwhype2 wrote:
Is x > y^2?

1. x > y+5
2. x^2 - y^2 = 0

From (i)

Insufficient.

X=2, Y = -3..... answer is NO

From (ii)

Insufficient

X=Y and also X=-Y, both are possible.

Yes
X=Y and also X=-Y, both are possible.

but combining with 1
X=Y is not possible..........so (C)

Got it...thanks sidibus.
Re: inequalities   [#permalink] 08 Nov 2007, 07:22
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