Which of the following is equal to the cube of a non-integer?

Question

A. -64
B. -1
C. 8
D. 9
E. 27

CanadianJoey · Answer

Isn't this just asking if the cube root of any of these exists outside the set of integers?

In which case it's  9 . It'd be like 2.1 or so.

KarishmaB · Answer

A. -64 -> cube of -4
B. -1 -> cube of -1
C. 8 -> cube of 2
D. 9 
E. 27 -> cube of 3

All other options are cubes of integers except 9. 9 will be the cube of a number slightly greater than 2 since the cube of 2 is 8.

Answer (D)

nipunjain14 · Answer

all except 9 is cube of non integer as it is square of 3.

Ans:D

abhimahna · Answer

A. –64 = -4*-4*-4-- OUT
B. –1 = -1*-1*-1 -- OUT
C. 8 = 2*2*2 -- OUT
D. 9 -- Left One. Hence the answer
E. 27 = 3*3*3 -- OUT

vitaliyGMAT · Answer

9 = 3^2 = 3^{\frac{6}{3}} = (3^{\frac{2}{3}})^3

kanusha · Answer

cube of a non-integer, either decimal or a fraction

A. –64 = -4*-4*-4-- 
B. –1 = -1*-1*-1 -- 
C. 8 = 2*2*2 -- 
D. 9 -- 3*3 ??
E. 27 = 3*3*3 --

9 is not a cube of a non-integer , As it is a square of an integer 3
Can anyone pls explain option D

EgmatQuantExpert · Answer

Hey,

The cube of a non-integer means that out of given options, which one is obtained by  multiplying a non-integer three times .

A.  -64  can be written as  -8 * -8 * - 8 
Since we multiplying three negative integers to get -64, this can't be our answer.

B.  - 1  can be written as  -1 * -1 * -1 
Since we multiplying three negative integers to get -1, this can't be our answer.

C.  8  can be written as  2 * 2 * 2 
Since we multiplying three positive integers to get 8, this can't be our answer.

D.  9  can be written as  3^{\frac{2}{3}}  *  3^{\frac{2}{3}}  *  3^{\frac{2}{3}}  =  (3^3)^{\frac{2}{3}} 
Since we multiplying three postive non-integers to get 9, this has to be our answer.

E.  27  can be written as  3 * 3 * 3 
Since we multiplying three positive integers to get 27, this can't be our answer.

Hence the correct answer is  Option D  .

Thanks,
Saquib
Quant Expert
e-GMAT

To practise ten 700+ Level Number Properties Questions attempt the  The E-GMAT Number Properties Knockout

https://e-gmat.com/blogs/wp-content/uploads/2016/12/NP-Free-Trial-e1481107541356.png

JeffTargetTestPrep · Answer

Since -64 = (-4)^3, -1 = (-1)^3, 8 = 2^3, and 27 = 3^3, we see that the only answer that is equal to the cube of a non-integer is 9.

We see that 9 = (∛9)^3, and ∛9 is not an integer.

Answer: D

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

Which of the following is equal to the cube of a non-integer?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Which of the following is equal to the cube of a non-integer?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards