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

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Source: — Data Sufficiency |

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

by Brent@GMATPrepNow » Tue Dec 08, 2020 11:59 am

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BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:54 pm
 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.

Answer: D
Source: Manhattan prep
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
Brent Hanneson - Creator of GMATPrepNow.com
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