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# If x and y are two distinct prime numbers, Is x even?

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If x and y are two distinct prime numbers, Is x even?  [#permalink]

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Updated on: 31 Dec 2018, 01:35
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Difficulty:

25% (medium)

Question Stats:

70% (00:48) correct 30% (00:37) wrong based on 35 sessions

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If x and y are two distinct prime numbers, Is x even?

(1) x + y = odd

(2) xy = even

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Chasing the dragon

Originally posted by fitzpratik on 28 Dec 2018, 22:58.
Last edited by Bunuel on 31 Dec 2018, 01:35, edited 1 time in total.
Renamed the topic and edited the question.
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Posts: 7764
Re: If x and y are two distinct prime numbers, Is x even?  [#permalink]

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28 Dec 2018, 23:12
fitzpratik wrote:
If x and y are two distinct prime numbers, Is x even?

A. x+y=odd

B. xy = even

Statement I tells you that one of X and y is even and the other is odd..
Same can be inferred from statement II..

Combined too, we just know one is even and the other odd..
But we don't know which is even and which is odd..

E
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Re: If x and y are two distinct prime numbers, Is x even?  [#permalink]

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29 Dec 2018, 00:27
fitzpratik wrote:
If x and y are two distinct prime numbers, Is x even?

A. x+y=odd

B. xy = even

#1:
either of x or y could be 2,3 so insufficient

#2:
either of x or y could be 2,3 so insufficient

combining 1&2 wont give any distinct value of x as well

IMO E
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Re: If x and y are two distinct prime numbers, Is x even?   [#permalink] 29 Dec 2018, 00:27
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