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

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Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post Updated on: 04 Dec 2014, 03:44
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Which of the following is equal to the cube of a non-integer?

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

Originally posted by marshallbrm on 03 Dec 2014, 18:23.
Last edited by Bunuel on 04 Dec 2014, 03:44, edited 1 time in total.
Edited the question.
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 03 Dec 2014, 18:47
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.
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 03 Dec 2014, 19:46
2
marshallbrm wrote:
Which of the following is equal to the cube of a non-integer?

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

Any thoughts here? Thanks.


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)
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 14 Aug 2016, 10:02
all except 9 is cube of non integer as it is square of 3.

Ans:D
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 14 Aug 2016, 10:19
Bunuel wrote:
Which of the following is equal to the cube of a non-integer?

A. –64
B. –1
C. 8
D. 9
E. 27


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
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 15 Dec 2016, 02:33
Bunuel wrote:
Which of the following is equal to the cube of a non-integer?

A. –64
B. –1
C. 8
D. 9
E. 27


\(9 = 3^2 = 3^{\frac{6}{3}} = (3^{\frac{2}{3}})^3\)
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 17 Jan 2017, 18:26
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
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 18 Jan 2017, 05:26
Bunuel wrote:
Which of the following is equal to the cube of a non-integer?

A. –64
B. –1
C. 8
D. 9
E. 27



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.


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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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New post 23 Jan 2017, 07:19
Bunuel wrote:
Which of the following is equal to the cube of a non-integer?

A. –64
B. –1
C. 8
D. 9
E. 27


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
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Re: Which of the following is equal to the cube of a non-integer?  [#permalink]

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