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a and b are integers.

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a and b are integers. [#permalink] New post 24 May 2017, 01:27
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\(a\) and \(b\) are integers.

\(a^2=b^3\)

Quantity A
Quantity B
a
b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: a and b are integers. [#permalink] New post 24 May 2017, 05:57
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Carcass wrote:



a and b are integers.

\(a^2=b^3\)

Quantity A
Quantity B
a
b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


There are many values of a and b that satisfy the equation a² = b³
So, let's TEST a few options.

One pair of values is a = 0 and b = 0, since 0² = 0³
In this case, we get:
Quantity A: 0
Quantity B: 0
Here, the quantities are EQUAL

Another pair of values is a = 8 and b = 4, since 8² = 4³
In this case, we get:
Quantity A: 8
Quantity B: 4
Here, Quantity A is GREATER

Answer:
[Reveal] Spoiler:
D


Cheers,
Brent
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Re: a and b are integers. [#permalink] New post 18 May 2018, 03:32
GreenlightTestPrep wrote:
Carcass wrote:



a and b are integers.

\(a^2=b^3\)

Quantity A
Quantity B
a
b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


There are many values of a and b that satisfy the equation a² = b³
So, let's TEST a few options.

One pair of values is a = 0 and b = 0, since 0² = 0³
In this case, we get:
Quantity A: 0
Quantity B: 0
Here, the quantities are EQUAL

Another pair of values is a = 8 and b = 4, since 8² = 4³
In this case, we get:
Quantity A: 8
Quantity B: 4
Here, Quantity A is GREATER

Answer:
[Reveal] Spoiler:
D


Cheers,
Brent



I was unable to come up with

Another pair of values is a = 8 and b = 4, since 8² = 4³
In this case, we get:
Quantity A: 8
Quantity B: 4
Here, Quantity A is GREATER
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Re: a and b are integers. [#permalink] New post 18 May 2018, 11:32
Expert's post
\(8^2 = 64\)

\(4^3 = 64\)

So \(a^2 = b^3\); \(64 = 64\)

But \(a = 8\) and \(b = 4\) and \(a \neq b\)

Hope now is clear.

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Re: a and b are integers. [#permalink] New post 15 Jun 2019, 22:35
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Carcass wrote:



\(a\) and \(b\) are integers.

\(a^2=b^3\)

Quantity A
Quantity B
a
b


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


------------CONCEPT---------------
If a = -ve --> b = +ve
If a = +ve --> b= +ve

i.e. b will have same value for 2 values of a and hence can be greater as well as smaller than a.
Hence answer is D
Re: a and b are integers.   [#permalink] 15 Jun 2019, 22:35
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