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# If (x/y)^(1/2)=n, what is the value of x?

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Intern
Joined: 09 Mar 2012
Posts: 23

Kudos [?]: 10 [0], given: 2

Schools: LBS '14 (S)
If (x/y)^(1/2)=n, what is the value of x? [#permalink]

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06 Apr 2012, 18:49
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If (x/y)^(1/2)=n, what is the value of x?

(1) (n^2)y = 100
(2) n= 5 and y = 4

[Reveal] Spoiler:
This question is from Total GMAT Math. The statement (1) provides that (n^2)y = 100 which implies that n(y^(1/2)) can be either 10 or -10. However, the solution provided by the book states that the above value is only 10. Hence I chose B, sine the statement (1) can be both 10 or -10. Is my approach incorrect?

[Reveal] Spoiler: OA

Kudos [?]: 10 [0], given: 2

Intern
Joined: 28 Feb 2012
Posts: 36

Kudos [?]: 698 [1], given: 20

Re: If (x/y)^(1/2)=n, what is the value of x? [#permalink]

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06 Apr 2012, 21:09
1
KUDOS
Rearranging/squaring the equation given in the question saves you from the troubles with square roots.

$$\sqrt{\frac{x}{y}}=n$$
$$\frac{x}{y}=n^2$$
$$x=(n^2)y$$

Statement 1: $$(n^2)y=100$$
Hence statement 1 is sufficient.

Also if you were to continue from the equation you've arrived at,
When its 10:
$$n\sqrt{y}=10$$
$$(n^2)y=10^2$$
$$(n^2)y=100=x$$

When its -10:
$$n\sqrt{y}=-10$$
$$(n^2)y=(-10)^2$$
$$(n^2)y=100=x$$

Both lead to $$x=100$$ so statement 1 is still sufficient.
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Kudos [?]: 698 [1], given: 20

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Re: If (x/y)^(1/2)=n, what is the value of x? [#permalink]

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07 Apr 2012, 02:06
andrewh wrote:
1) (n^2)y = 100
2) n= 5 and y = 4

This question is from Total GMAT Math. The statement (1) provides that (n^2)y = 100 which implies that n(y^(1/2)) can be either 10 or -10. However, the solution provided by the book states that the above value is only 10. Hence I chose B, sine the statement (1) can be both 10 or -10. Is my approach incorrect?

Given that
(x/y)power(1/2) = n
x/y = n square
x = y. n square

now,

1. y.nsquare = 100
sufficient

2. values for Y and N are given, then this is sufficient too...

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Harsha

Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat

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Kudos [?]: 63 [0], given: 16

Intern
Joined: 09 Mar 2012
Posts: 23

Kudos [?]: 10 [0], given: 2

Schools: LBS '14 (S)
Re: If (x/y)^(1/2)=n, what is the value of x? [#permalink]

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07 Apr 2012, 09:01
Thanks so much. I can believe I didn't see that .

Kudos [?]: 10 [0], given: 2

Manager
Joined: 04 Mar 2013
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Location: India
Concentration: General Management, Marketing
GPA: 3.49
WE: Web Development (Computer Software)
Re: If (x/y)^(1/2)=n, what is the value of x? [#permalink]

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23 May 2013, 06:37
reddevil00 wrote:
If (x/y)^(1/2)=n, what is the value of x?

(1) (n^2)y = 100
(2) n= 5 and y = 4

This question is from Total GMAT Math. The statement (1) provides that (n^2)y = 100 which implies that n(y^(1/2)) can be either 10 or -10. However, the solution provided by the book states that the above value is only 10. Hence I chose B, sine the statement (1) can be both 10 or -10. Is my approach incorrect?

yes, what u have misses is : l x l is +/- and again the same way x^2 is always positive but a root need not be, here we have square only dude.

Kudos [?]: 10 [0], given: 6

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Re: If (x/y)^(1/2)=n, what is the value of x? [#permalink]

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24 Dec 2016, 09:34
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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Re: If (x/y)^(1/2)=n, what is the value of x?   [#permalink] 24 Dec 2016, 09:34
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