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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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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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New post 02 Aug 2018, 05:27
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

84% (00:47) correct 16% (01:01) wrong based on 386 sessions

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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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New post Updated on: 02 Aug 2018, 05:38
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 KSBGC on 02 Aug 2018, 05:34.
Last edited by KSBGC on 02 Aug 2018, 05:38, edited 2 times in total.
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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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New post Updated on: 02 Aug 2018, 05:42
1
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.
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Originally posted by sudarshan22 on 02 Aug 2018, 05:36.
Last edited by sudarshan22 on 02 Aug 2018, 05:42, edited 1 time in total.
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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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New post 02 Aug 2018, 05:38
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.
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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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New post Updated on: 02 Aug 2018, 05:53
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
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Originally posted by sudarshan22 on 02 Aug 2018, 05:44.
Last edited by sudarshan22 on 02 Aug 2018, 05:53, edited 1 time in total.
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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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New post 02 Aug 2018, 05:49
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
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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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New post 25 Aug 2019, 22:30
√x =32=2^5 ==》x=2^10
x^2=2^20=(2^10)^2=2^20
So,as two statements are true and just one of them is enough to get the answer, option D would be the answer.

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Re: If x > 0, what is the value of x^5? (1) x^(1/2) = 32 (2) x^2 = 2^20   [#permalink] 25 Aug 2019, 22:30
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