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What is the value of x^5?

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Math Expert
Joined: 02 Sep 2009
Posts: 42618

Kudos [?]: 135771 [0], given: 12708

What is the value of x^5? [#permalink]

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23 Nov 2017, 04:51
00:00

Difficulty:

35% (medium)

Question Stats:

84% (00:32) correct 16% (00:32) wrong based on 43 sessions

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What is the value of x^5?

(1) x^2 = 9
(2) x^3 > 9
[Reveal] Spoiler: OA

_________________

Kudos [?]: 135771 [0], given: 12708

Senior Manager
Joined: 06 Jul 2016
Posts: 437

Kudos [?]: 128 [1], given: 98

Location: Singapore
Concentration: Strategy, Finance
Re: What is the value of x^5? [#permalink]

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23 Nov 2017, 04:56
1
KUDOS
Bunuel wrote:
What is the value of x^5?

(1) x^2 = 9
(2) x^3 > 9

S1) x = -3,3
Insufficient.

S2) $$x^3$$ > 9
x = 3,4,5,....
Insufficient.

Quote:
combining both statements

x = -3,3
$$x^3$$ > 9 => x > 0
=> x = 3
We can find the value of $$x^5$$

Sufficient.

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Kudos [?]: 128 [1], given: 98

Intern
Joined: 24 Nov 2016
Posts: 43

Kudos [?]: 3 [0], given: 21

Re: What is the value of x^5? [#permalink]

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23 Nov 2017, 12:00
Bunuel wrote:
What is the value of x^5?

(1) x^2 = 9
(2) x^3 > 9

(1) x^2 = 9 : x = + or - \sqrt{9} we need to find out if the root is positive or negative, insuf.
(2) x^3 > 9 : since x^3 is > 9, then x must be a positive. But we don't know the value of x, insuf.
(C) from (2) we know that 'x' is a positive and from (1) we know the value of 'x', so sufficient.

Kudos [?]: 3 [0], given: 21

Re: What is the value of x^5?   [#permalink] 23 Nov 2017, 12:00
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