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If x and y are integers, what is the value of y ?

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If x and y are integers, what is the value of y ? [#permalink] New post 07 Jan 2014, 04:22
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x and y are integers, what is the value of y ?

(1) xy = 27
(2) x = y^2

Data Sufficiency
Question: 25
Category: Arithmetic Arithmetic operations
Page: 154
Difficulty: 550


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Re: If x and y are integers, what is the value of y ? [#permalink] New post 07 Jan 2014, 04:22
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Re: If x and y are integers, what is the value of y ? [#permalink] New post 07 Jan 2014, 11:04
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If x and y are integers, what is the value of y ?
(1) xy = 27
(2) x = y^2

St1: we have multiple values of y possible from 1 to 27 to -27...many options
St2:not sufficient
Combining we get that y^3=27 and since y is an integer so y=3

And C

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Re: If x and y are integers, what is the value of y ? [#permalink] New post 07 Jan 2014, 21:00
Statement (1):
y can have many possible values, including negative ones: 1,3,9,27...; Insufficient.

Statement (2):
x = y^2; Clearly insufficient, since many values are possible.

Both together,
(y^2)*y = 27;
y^3 = 27;
y = 3;

Hence, (C) is the answer.
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Re: If x and y are integers, what is the value of y ? [#permalink] New post 08 Jan 2014, 08:10
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x and y are integers, what is the value of y ?

(1) xy = 27
(2) x = y^2



Statement 1) We don't value of x, so not sufficient.
Statement 2) x = y^2. We don't know the value of x.

Combining the two statement, xy=27 => y^3 = 27, so y = 3 Sufficient.
Hence Option C)
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Re: If x and y are integers, what is the value of y ? [#permalink] New post 11 Jan 2014, 06:27
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Re: If x and y are integers, what is the value of y ?   [#permalink] 11 Jan 2014, 06:27
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