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# If two of the four expressions x + y, x + 5y, x – y,...

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Intern
Joined: 03 Apr 2018
Posts: 11
If two of the four expressions x + y, x + 5y, x – y,...  [#permalink]

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05 Jul 2018, 23:34
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If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product will be of the form of x2 – (by)2, where b is an integer?

A. \small \frac{1}{2}

B. \small \frac{1}{3}

C. \small \frac{1}{4}

D. \small \frac{1}{5}

E. \small \frac{1}{6}
Math Expert
Joined: 02 Sep 2009
Posts: 52218
Re: If two of the four expressions x + y, x + 5y, x – y,...  [#permalink]

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05 Jul 2018, 23:37
ItachiPu wrote:
If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product will be of the form of x2 – (by)2, where b is an integer?

A. \small \frac{1}{2}

B. \small \frac{1}{3}

C. \small \frac{1}{4}

D. \small \frac{1}{5}

E. \small \frac{1}{6}

Please search: https://gmatclub.com/forum/if-two-of-th ... 92727.html Thank you.
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Re: If two of the four expressions x + y, x + 5y, x – y,... &nbs [#permalink] 05 Jul 2018, 23:37
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