NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 07:10 It is currently 26 Apr 2024, 07:10
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
sandal85
Intern
Intern
Joined: 28 Feb 2012
Posts: 20
Own Kudos [?]: 245 [10]
Given Kudos: 1
Send PM
If x, y, and z are prime numbers and x < y < z, what is the [#permalink] New post   Updated on: 21 May 2012, 00:42
1
Kudos
9
Bookmarks
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

85% (00:44) correct 15% (00:59) wrong based on 330 sessions
Hide Show timer Statistics
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.
ShowHide Answer
Official Answer
D

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.
avatar
raingary
Intern
Intern
Joined: 22 Jan 2012
Posts: 25
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: If x, y, and z are prime numbers and x <y < z [#permalink] 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?
avatar
Abhii46
Manager
Manager
Joined: 12 Mar 2012
Posts: 66
Own Kudos [?]: 523 [0]
Given Kudos: 22
Location: India
Concentration: Technology, Strategy
Schools: ISB '15 HKUST '16 Kelley '16 NUS '15 Duke '16
GMAT 1: 710 Q49 V36
GPA: 3.2
WE:Information Technology (Computer Software)
Send PM
Re: If x, y, and z are prime numbers and x <y < z [#permalink] 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.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92933
Own Kudos [?]: 619173 [1]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: If x, y, and z are prime numbers and x < y < z, what is the [#permalink] New post   21 May 2012, 00:49
1
Bookmarks
Expert Reply
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/
User avatar
honchos
Senior Manager
Senior Manager
Joined: 17 Apr 2013
Status:Verbal Forum Moderator
Posts: 361
Own Kudos [?]: 2197 [1]
Given Kudos: 298
Location: India
GMAT 1: 710 Q50 V36
GMAT 2: 750 Q51 V41
GMAT 3: 790 Q51 V49
GPA: 3.3
Send PM
Re: If x, y, and z are prime numbers and x < y < z, what is the [#permalink] New post   17 Oct 2013, 21:25
1
Bookmarks
Nice question, it help once recall and memorize the fact that 2 is the only even prime Number, Gmat often test this information.
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29938 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: If x, y, and z are prime numbers and x < y < z, what is the [#permalink] New post   06 Mar 2020, 07:24
1
Kudos
Expert Reply
Top Contributor
sandal85 wrote:
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.


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
User avatar
B
kchaudhary13
Intern
Intern
Joined: 19 Jun 2022
Posts: 44
Own Kudos [?]: 4 [0]
Given Kudos: 19
Location: India
Concentration: Technology, Marketing
Schools: Kellogg
GPA: 3.85
WE:Management Consulting (Computer Software)
Send PM
Re: If x, y, and z are prime numbers and x < y < z, what is the [#permalink] New post   12 Jul 2023, 06:53
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 ?
GMAT Club Bot
gmatclubot
Re: If x, y, and z are prime numbers and x < y < z, what is the [#permalink]
12 Jul 2023, 06:53
Moderator:
Bunuel
Math Expert
92933 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions