If x, y, and z are prime numbers and x

Question

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.

raingary · Answer

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?

Abhii46 · Answer

D should be the answer.
Since 2 is the smallest prime number, hence in both the cases we can find the value.

Bunuel · Answer

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/

honchos · Answer

Nice question, it help once recall and memorize the fact that   2 is the only even prime Number  , Gmat often test this information.

BrentGMATPrepNow · Answer

Given : x, y, and z are prime numbers and x < y < z

Target question :    What is the value of x?

Statement 1 : xy is even  
This tells us that one of the variables must be 2
Since 2 is the smallest prime number, and since x < y < z, we can conclude that  x = 2 
Since we can answer the  target question  with certainty, statement 1 is SUFFICIENT

Statement 2 : xz is even 
This tells us that one of the variables must be 2
Since 2 is the smallest prime number, and since x < y < z, we can conclude that  x = 2 
Since we can answer the  target question  with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent

kchaudhary13 · Answer

I feel the statements are not worded properly.

In both the Statement, the statement mentioned says:
1. xy is even, does it not mean that two prime numbers are placed one after another?
 For example, x=3 and y= 5, then the number is 35.

Can someone please confirm, if in a statement XY is given, Will we consider X*Y or XY ?

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

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