If x and y are positive integers such that x^2+y^2 is a prim : GMAT Data Sufficiency (DS)
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If x and y are positive integers such that x^2+y^2 is a prim

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If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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New post 27 Feb 2013, 13:19
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If x and y are positive integers such that x^2+y^2 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Feb 2013, 14:34, edited 2 times in total.
Edited the question.
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Re: If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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New post 27 Feb 2013, 14:39
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mun23 wrote:
If x and y are positive integers such that x^2+y^2 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number


By trial and error:

Case #1.
x^2 + y^2 --> 3^2 + 2^2 = 13 = prime.
x^2 - y^2 --> 3^2 - 2^2 = 5 = prime.

Case #2.
x^2 + y^2 --> 2^2 + 1^2 = 5 = prime.
x^2 - y^2 --> 2^2 - 1^2 = 3 = prime.

Answer: E.
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Re: If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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New post 30 Apr 2014, 18:08
Hey Bunuel,
The org question is incorrectly written. Here is the correct question:
If x and y are positive integers such that x^2+y^3 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number
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Re: If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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New post 01 May 2014, 09:01
prsnt11 wrote:
Hey Bunuel,
The org question is incorrectly written. Here is the correct question:
If x and y are positive integers such that x^2+y^3 is a prime number less than 18, what is the value of y?

(1) x^2 + y^2 is a prime number
(2) x^2 - y^2 is a prime number


You could use the same numbers because 3^2 + 2^3 and 2^2 + 1^3 are also primes less than 18.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If x and y are positive integers such that x^2+y^2 is a prim [#permalink]

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Re: If x and y are positive integers such that x^2+y^2 is a prim   [#permalink] 02 Dec 2016, 11:26
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