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Math Expert V
Joined: 02 Sep 2009
Posts: 60646
Is x an integer? (1) x^3 = 8 (2) x = 4^(1/2)  [#permalink]

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Difficulty:   5% (low)

Question Stats: 91% (00:25) correct 9% (00:26) wrong based on 322 sessions

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Is x an integer?

(1) $$x^3 = 8$$
(2) $$x = \sqrt{4}$$

DS22602.01
OG2020 NEW QUESTION

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Senior Manager  P
Joined: 13 Feb 2018
Posts: 494
GMAT 1: 640 Q48 V28
Re: Is x an integer? (1) x^3 = 8 (2) x = 4^(1/2)  [#permalink]

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1 stm: get rid of power, x=2. suff
2 stm: x=$$\sqrt{4}$$=2. suff

IMO
Ans: D
GMAT Club Legend  V
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Re: Is x an integer? (1) x^3 = 8 (2) x = 4^(1/2)  [#permalink]

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Bunuel wrote:
Is x an integer?

(1) $$x^3 = 8$$
(2) $$x = \sqrt{4}$$

DS22602.01
OG2020 NEW QUESTION

from 1 ; x= 2
and #2
x= +/-2
IMO D
Target Test Prep Representative V
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Re: Is x an integer? (1) x^3 = 8 (2) x = 4^(1/2)  [#permalink]

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Archit3110 wrote:
Bunuel wrote:
Is x an integer?

(1) $$x^3 = 8$$
(2) $$x = \sqrt{4}$$

DS22602.01
OG2020 NEW QUESTION

Statement One Alone:

x^3 = 8

Since x^3 = 8, x = 2, then x is an integer.

Statement one alone is sufficient to answer the question.

Statement Two Alone:

x = √4

Since x = √4, x = 2, then x is an integer. (Recall that the square root symbol means to take the principal square root of a number, which is only the positive square root.)

Statement two alone is sufficient to answer the question.

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Re: Is x an integer? (1) x^3 = 8 (2) x = 4^(1/2)  [#permalink]

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Hi All,

We're asked if X is an INTEGER. This is a YES/NO question. This question is built around some standard math rules and Number Properties.

(1) X^3 = 8

With Fact 1, we're cubing the value of X and ending with a POSITIVE value - thus, X MUST be positive. Here, the value of X = +2 and the answer to the question is YES.
Fact 1 is SUFFICIENT

(2) X =√4

With Fact 1, we have a number that's square-rooted for the value of X. The square root of a number has just ONE solution: a POSITIVE one. Here, we're dealing with the positive square-root of 4, so the value of X = +2 and the answer to the question is YES.
Fact 2 is SUFFICIENT

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Rich
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Re: Is x an integer? (1) x^3 = 8 (2) x = 4^(1/2)  [#permalink]

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X is an Integer?

Statement 1:$$X^3 = 8$$
This gives , X=2. Option A alone is sufficient

Statement 2: X = √4
This gives x=2 , Option B alone is sufficient

Ans: D Re: Is x an integer? (1) x^3 = 8 (2) x = 4^(1/2)   [#permalink] 13 May 2019, 18:34
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