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Intern  B
Joined: 08 Sep 2018
Posts: 3
Location: India
Is (x + y)^(1/2) an integer? (1) x^3 = 64 (2) x^2 = y – 3  [#permalink]

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1 00:00

Difficulty:   15% (low)

Question Stats: 83% (01:30) correct 17% (01:40) wrong based on 85 sessions

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Is √(x + y) an integer?

(1) x^3 = 64
(2) x^2 = y – 3

Originally posted by HariS1992 on 03 Oct 2018, 00:00.
Last edited by Bunuel on 03 Oct 2018, 00:10, edited 1 time in total.
Renamed the topic.
Director  P
Joined: 02 Oct 2017
Posts: 715
Re: Is (x + y)^(1/2) an integer? (1) x^3 = 64 (2) x^2 = y – 3  [#permalink]

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2
vipulkhandelwal999 wrote:
I think OA should be B

because sqrt(x^2 + x + 3) will never be a perfect square for any integer value of x

Take x as -3
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Re: Is (x + y)^(1/2) an integer? (1) x^3 = 64 (2) x^2 = y – 3  [#permalink]

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HariS1992 wrote:
Is √(x + y) an integer?

(1) x^3 = 64
(2) x^2 = y – 3

1. x^3 = 64
We can get the value of x = 4, but without the value of y - we can't
say whether √(x + y) is an integer. (Insufficient)

2. x^2 = y – 3
If x = 1 and y = 4, then √(x + y) is not an integer
If x = 2 and y = 7, then √(x + y) is an integer (Insufficient)

On combining the information in both the statements, we can clearly
get a unique value of x and y and √(x + y) is not an integer (Sufficient - Option C)

Btw, are you sure this is from the OG - 2017(because if it is - it must have definitely been discussed)
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Intern  B
Joined: 30 Jun 2017
Posts: 7
GMAT 1: 670 Q50 V29 Re: Is (x + y)^(1/2) an integer? (1) x^3 = 64 (2) x^2 = y – 3  [#permalink]

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I think OA should be B

because sqrt(x^2 + x + 3) will never be a perfect square for any integer value of x Re: Is (x + y)^(1/2) an integer? (1) x^3 = 64 (2) x^2 = y – 3   [#permalink] 03 Oct 2018, 02:59
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# Is (x + y)^(1/2) an integer? (1) x^3 = 64 (2) x^2 = y – 3  