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Re: If x is not equal to y and if , what is the value of y^3 ? [#permalink]

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04 May 2011, 18:54

Hey subhashghosh

Here is my interpretation of y. x = y^2. so x is +ve but the sign of y is unknown.

Hence the value of y^3 is a black box now. Do you agree? S1 and S2 provide the same information. But the sign of y is unknown. So the answer should be E

Re: If x is not equal to y and if , what is the value of y^3 ? [#permalink]

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05 May 2011, 04:28

@gmat1220 we don't need to worry about sign of y, consider one more thing, if y is negative (y)^3/2 takes us in the realm of complex numbers, which is beyond the scope of GMAT.
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Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

If x is not equal to y and if \(\sqrt{x}=y\), what is the value of \(y^3\) ?

(1) \(x = y^x\)

(2) \(x^3 = 8\)

can somebody explain how 1 is sufficient. i am getting confused...help

Try to connect the data in the question stem to the data given in the statement. Data in Question Stem: \(\sqrt{x}=y\) or \(x = y^2\) (I think of doing this because the statement gives the relation of 'x' with 'y', not of 'square root x' with 'y')

(1) \(x = y^x\) or from above, \(y^2 = y^x\) Hence \(x = 2\) and \(y = \sqrt{2}\) Therefore, \(y^3 = (\sqrt{2})^3\)

If logic confuses you, try and use simple algebra. Once you see it using algebra, reason it out to understand the concept well.
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if x is not equal to y and if √x = y, what is the value of y^3 ?

1) x = xy 2) x^3=8

Question should read: If x is not equal to y and if √x = y, what is the value of y^3 ?

(1) x = y^x --> since from \(\sqrt{x}=y\) we have that \(x=y^2\) then \(y^2=y^x\) --> \(y=1\) or \(x=2\) (the first solutions is not valid since given that \(x\neq{y}\) and if \(y=1\) then \(x=y^2=1\) too). So, \(x=2\) --> \(y=\sqrt{x}=\sqrt{2}\). Sufficient.

Re: If x is not equal to y and if √x = y, what is the value of y [#permalink]

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25 Nov 2014, 12:28

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Re: If x is not equal to y and if √x = y, what is the value of y [#permalink]

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16 Jun 2015, 03:18

1

This post received KUDOS

Bunuel wrote:

Smita04 wrote:

if x is not equal to y and if √x = y, what is the value of y^3 ?

1) x = xy 2) x^3=8

Question should read: If x is not equal to y and if √x = y, what is the value of y^3 ?

(1) x = y^x --> since from \(\sqrt{x}=y\) we have that \(x=y^2\) then \(y^2=y^x\) --> \(y=1\) or \(x=2\) (the first solutions is not valid since given that \(x\neq{y}\) and if \(y=1\) then \(x=y^2=1\) too). So, \(x=2\) --> \(y=\sqrt{x}=\sqrt{2}\). Sufficient.

Re: If x is not equal to y and if √x = y, what is the value of y [#permalink]

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17 Jun 2015, 12:49

Bunuel wrote:

Smita04 wrote:

if x is not equal to y and if √x = y, what is the value of y^3 ?

1) x = xy 2) x^3=8

Question should read: If x is not equal to y and if √x = y, what is the value of y^3 ?

(1) x = y^x --> since from \(\sqrt{x}=y\) we have that \(x=y^2\) then \(y^2=y^x\) --> \(y=1\) or \(x=2\) (the first solutions is not valid since given that \(x\neq{y}\) and if \(y=1\) then \(x=y^2=1\) too). So, \(x=2\) --> \(y=\sqrt{x}=\sqrt{2}\). Sufficient.

If x is not equal to y and if √x = y, what is the value of y [#permalink]

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17 Jun 2015, 12:56

reto wrote:

To proof statement 1, would it be allowed to process as follows?

What is the value of y^3?

Since \(x = y^x\), we know that \(y^3=x\) and therefore \(x = 3\). If \(x =3\) then \(y^3=3\), which is sufficient.

Any mistake in this?

Hello reto From which part you infer that \(y^3=x\)?

From this statement \(x = y^x\) we can't say that \(y^3=x\) because y and x can have infinite number of values x and y: x = 1 and y =1 x = 2 and y = \(\sqrt{2}\) x = 3 and y =cube root (3) and so on

and only in first case (x =1 and y =1) your conclusion that \(y^3=x\) will be true
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Re: If x is not equal to y and if x =y , what is the value of [#permalink]

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22 Jun 2016, 09:05

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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