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If x, y, and z are prime numbers and x < y < z, what is the

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If x, y, and z are prime numbers and x < y < z, what is the  [#permalink]

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New post Updated on: 21 May 2012, 00:42
2
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A
B
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D
E

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If x, y, and z are prime numbers and x < y < z,what is the value of x?

(1) xy is even.
(2) xz is even.

Originally posted by sandal85 on 20 May 2012, 21:07.
Last edited by Bunuel on 21 May 2012, 00:42, edited 2 times in total.
Added the OA and moved to PS subforum.
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Re: If x, y, and z are prime numbers and x <y < z  [#permalink]

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New post 20 May 2012, 21:26
1) xy is even and x<y then x =2 as 2 is the first and only even prime number .
So sufficient.

2) xz is even , and x<z then also x =2 as 2 is the first and only even prime number .
So sufficient.

Hence , D .

What is the OA?
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Re: If x, y, and z are prime numbers and x <y < z  [#permalink]

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New post 20 May 2012, 23:35
D should be the answer.
Since 2 is the smallest prime number, hence in both the cases we can find the value.
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Re: If x, y, and z are prime numbers and x < y < z, what is the  [#permalink]

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New post 21 May 2012, 00:49
If x, y, and z are prime numbers and x < y < z,what is the value of x?

(1) xy is even --> since x and y are both primes then either of them must be 2 (in order xy to be even). Now, as given that x<y then x=2. Sufficient.

(2) xz is even --> since x and z are both primes then either of them must be 2 (in order xz to be even). Now, as given that x<z then x=2. Sufficient.

Answer: D.

P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/
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Re: If x, y, and z are prime numbers and x < y < z, what is the  [#permalink]

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New post 17 Oct 2013, 21:25
Nice question, it help once recall and memorize the fact that 2 is the only even prime Number, Gmat often test this information.
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Re: If x, y, and z are prime numbers and x < y < z, what is the  [#permalink]

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New post 13 Jul 2017, 06:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x, y, and z are prime numbers and x < y < z, what is the   [#permalink] 13 Jul 2017, 06:17
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