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# If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20

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Math Expert
Joined: 02 Sep 2009
Posts: 52431
If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20  [#permalink]

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02 Aug 2018, 04:27
00:00

Difficulty:

5% (low)

Question Stats:

79% (00:47) correct 21% (01:00) wrong based on 250 sessions

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If x > 0, what is the value of x^5?

(1) $$\sqrt{x} =32$$

(2) $$x^2 = 2^{20}$$

NEW question from GMAT® Quantitative Review 2019

(DS05172)

_________________
VP
Joined: 31 Oct 2013
Posts: 1014
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20  [#permalink]

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Updated on: 02 Aug 2018, 04:38
1
Bunuel wrote:
If x > 0, what is the value of x^5?

(1) $$\sqrt{x} =32$$

(2) $$x^2 = 2^{20}$$

NEW question from GMAT® Quantitative Review 2019

(DS05172)

Note : x is positive.

Statement 1:

$$\sqrt{x} =32$$

$$x = 32^2$$

$$x^5 = (32^2)^5$$

Sufficient.

Statement 2:

$$x^2 = 2^{20}$$

x^2 = 2^10^2

$$x = 2^{10}$$

x^5 = 2^10^5

Sufficient .

The best answer is D.

Originally posted by selim on 02 Aug 2018, 04:34.
Last edited by selim on 02 Aug 2018, 04:38, edited 2 times in total.
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Joined: 30 Jan 2015
Posts: 739
Location: India
Concentration: Operations, Marketing
GPA: 3.5
If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20  [#permalink]

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Updated on: 02 Aug 2018, 04:42
x^5 = ?

(1) $$\sqrt{x} =32$$
$$\sqrt{x} =2^5$$
Squaring we get
x = 2^10
Since x is Positive, x^5 gives unique value
Sufficient

(2) $$x^2 = 2^{20}$$
x = 2^10
Since x positive, x^5 gives unique value
Sufficient

Hence, D.
_________________

The few, the fearless !

Thanks

Originally posted by sudarshan22 on 02 Aug 2018, 04:36.
Last edited by sudarshan22 on 02 Aug 2018, 04:42, edited 1 time in total.
VP
Joined: 31 Oct 2013
Posts: 1014
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20  [#permalink]

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02 Aug 2018, 04:38
1
sudarshan22 wrote:
x^5 = ?

(1) $$\sqrt{x} =32$$
$$\sqrt{x} =2^5$$
Squaring we get
x = 2^10
Since x is Positive, x^5 gives unique value
Sufficient

(2) $$x^2 = 2^{20}$$
x could be negative or positive, and that gives two values of x^5
Insufficient

Hence, A.

x>0. given in the question bro.
SC Moderator
Joined: 30 Jan 2015
Posts: 739
Location: India
Concentration: Operations, Marketing
GPA: 3.5
If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20  [#permalink]

### Show Tags

Updated on: 02 Aug 2018, 04:53
selim wrote:
sudarshan22 wrote:
x^5 = ?

(1) $$\sqrt{x} =32$$
$$\sqrt{x} =2^5$$
Squaring we get
x = 2^10
Since x is Positive, x^5 gives unique value
Sufficient

(2) $$x^2 = 2^{20}$$
x could be negative or positive, and that gives two values of x^5
Insufficient

Hence, A.

x>0. given in the question bro.

Holy crap! You are right
I hope that does not happen on D-Day.
Thanks for rectifying the blunder selim
_________________

The few, the fearless !

Thanks

Originally posted by sudarshan22 on 02 Aug 2018, 04:44.
Last edited by sudarshan22 on 02 Aug 2018, 04:53, edited 1 time in total.
Senior Manager
Joined: 18 Jun 2018
Posts: 260
Re: If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20  [#permalink]

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02 Aug 2018, 04:49
Bunuel wrote:
If x > 0, what is the value of x^5?

(1) $$\sqrt{x} =32$$

(2) $$x^2 = 2^{20}$$

NEW question from GMAT® Quantitative Review 2019

(DS05172)

OA: D
$$x>0$$, what is the value of $$x^5$$?

(1) $$\sqrt{x} =32$$
$$\sqrt{x} =2^5$$
Squaring both sides , we get
$$x=2^{10}$$
As we are getting an unique value of $$x$$ ,Statement $$1$$ alone is sufficient

(2) $$x^2 = 2^{20}$$
$$x^2 -2^{20}=0$$
$$(x-2^{10})(x+2^{10})=0$$
$$x = 2^{10}$$ or $$-2^{10}$$, but as given in question stem that $$x>0$$, Only $$x = 2^{10}$$ is possible.
As we are getting an unique value of $$x$$ ,Statement $$2$$ alone is sufficient
Re: If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20 &nbs [#permalink] 02 Aug 2018, 04:49
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# If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20

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