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GMAT Club Tests | Re: M28-50

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Mo2men wrote:

Bunuel wrote:
Yashkumar wrote:
poor quality question

From above we have that x√=prime1x=prime1 and y√=prime2y=prime2 are consecutive integers. How was this proved ?
Expect a better explanation.


x and y are consecutive perfect squares, so x and y couldbe:
\(x = 1\) and\(y = 4\) -->\(\sqrt{x}=1\) and\(\sqrt{y}=2\) , consecutive integers;
\(x = 4\) and\(y = 9\) -->\(\sqrt{x}=2\) and\(\sqrt{y}=3\) , consecutive integers;
\(x = 9\) and\(y = 16\) -->\(\sqrt{x}=3\) and\(\sqrt{y}=4\) , consecutive integers;
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DearBunuel

As u stated above the consecutive perfect square

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