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If x and y are positive, is x > y^2?

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If x and y are positive, is x > y^2?  [#permalink]

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New post 31 Oct 2009, 22:07
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If x and y are positive, is x > y^2?

(1) y > x^2
(2) y = x + 1

M17-32

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Re: Another Inequality Question  [#permalink]

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New post 31 Oct 2009, 22:30
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Re: Another Inequality Question  [#permalink]

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New post 31 Oct 2009, 22:36
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These type of quastions works try to confuse test takers with fractions in power. The best approach is Picking Numbers strategy.

Is \(x>y^2\) given that \(x\) and \(y\) are positive?

(1) \(y>x^2\)

Pick \(x=\frac{8}{10}\) and \(y=\frac{7}{10}\), \(\frac{7}{10}>\frac{64}{100}\), and \(\frac{8}{10}>\frac{49}{100}\). But if we try \(x=\frac{8}{10}\) and \(y=1\), \(x\) will be lower than \(y^2\). So, (1) alone is NOT SUFFICIENT.

(2) \(y=x+1\)
given that \(x>0\), therefore \(y>1\). There is \(y^k>y^1\) for all \(y>1\), \(k>1\). So, (2) alone is SUFFICIENT.

The answer is B.
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Re: Another Inequality Question  [#permalink]

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New post 01 Nov 2009, 01:42
Thanks for the explanation guys. I totally missed the "if x and y are positive" language in the question stem :oops:
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Re: Another Inequality Question  [#permalink]

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New post 07 Nov 2009, 22:47
I ignored the fraction possibility..

Nice solution..

slingfox wrote:
Thanks for the explanation guys. I totally missed the "if x and y are positive" language in the question stem :oops:
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Re: If x and y are positive, is X > y^2?  [#permalink]

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New post 17 Jan 2013, 03:43
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slingfox wrote:
How would you guys approach this question:
If x and y are positive, is X > y^2?
1. y > x^2
2. y = x + 1


It is important to note that all you have to test are positive whole numbers and fractions

1.
let x=2, y=5
y > x^2 => 5 > 4 ----- x > y^2 => 2 > 25 NO!

let x=1/2, y=1/2
y > x^2 => 1/2 > 1/4 ----- x > y^2 => 1/2 > 1/4 YES!

The information given in statement 1 is insufficient.

2.
let x = 2, y = x + 1 = 3
x > y^2 ==> 2 > 9 NO!

let x = 1/2, y = 5/2
x > y^2 ==> 1/2 > 25/4 NO!

The information given in statement 2 is sufficient.

Answer: B
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If x and y are positive, is x>y2? (1) y>x2 (2) y=x+1  [#permalink]

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New post 27 Feb 2014, 07:27
If x and y are positive, is x>y^2?

(1) y>x^2

(2) y=x+1
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Re: If x and y are positive, is x>y2? (1) y>x2 (2) y=x+1  [#permalink]

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New post 27 Feb 2014, 07:30
i got that statement 2 is sufficient..

But, I tuk around more than 2 minutes to chek whether statement 1 is sufficient or not..

confused when i see x>y^2 or x2>y3 .. these kind of question most of the time i do it correct, bt i tuk long time to prove whether its sufficient or not
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Re: If x and y are positive, is x>y2? (1) y>x2 (2) y=x+1  [#permalink]

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New post 27 Feb 2014, 08:23
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Re: If x and y are positive, is x > y^2?  [#permalink]

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Re: If x and y are positive, is x > y^2?   [#permalink] 13 Mar 2018, 06:56
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