Mar 23 07:00 AM PDT  09:00 AM PDT Christina scored 760 by having clear (ability) milestones and a trackable plan to achieve the same. Attend this webinar to learn how to build trackable milestones that leverage your strengths to help you get to your target GMAT score. Mar 27 03:00 PM PDT  04:00 PM PDT Join a free live webinar and learn the winning strategy for a 700+ score on GMAT & the perfect application. Save your spot today! Wednesday, March 27th at 3 pm PST Mar 29 10:00 PM PDT  11:00 PM PDT Right now, their GMAT prep, GRE prep, and MBA admissions consulting services are up to $1,100 off. GMAT (Save up to $261): SPRINGEXTRAGMAT GRE Prep (Save up to $149): SPRINGEXTRAGRE MBA (Save up to $1,240): SPRINGEXTRAMBA
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 10 Feb 2011
Posts: 107

If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
01 Mar 2011, 10:56
Question Stats:
79% (01:33) correct 21% (01:34) wrong based on 201 sessions
HideShow timer Statistics
If x, y, and z are consecutive even positive integers, which of the following could be equal to x + y + z ? A. 141 B. 200 C. 318 D. 391 E. 412
Official Answer and Stats are available only to registered users. Register/ Login.



Math Expert
Joined: 02 Sep 2009
Posts: 53792

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
01 Mar 2011, 11:03



Intern
Joined: 14 Mar 2013
Posts: 44
Location: United States
Concentration: General Management, Leadership
GMAT Date: 12032013
WE: General Management (Retail)

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
23 Nov 2013, 03:57
Sum of even integers must be an enven number → A and D out Consecutive even integers = x  2 + x + x + 2 = 3x. Therefore, the number must be divisible by 3, hence C.  Please, +KUDOS if I helped you.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13773
Location: United States (CA)

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
27 Dec 2014, 11:41
Hi All, The key to answering this question quickly is to realize that X+Y+Z is a multiple of BOTH 2 and 3. With that information, you can quickly eliminate answer choices. If you don't recognize those two Number Properties though, then you can still get to the correct answer (but it will require a bit more work). We're told that X, Y and Z are CONSECUTIVE EVEN INTEGERS, so we could write them algebraically as... A + (A+2) + (A+4) = 3A + 6 We know that 3A + 6 COULD equal one of those five answers; we just have to find it... Could 3A + 6 = 141 3A = 135 A = 45 This is NOT an EVEN INTEGER, so 141 is NOT the answer Could 3A + 6 = 200 3A = 194 A = 64.6666 This is NOT an EVEN INTEGER, so 200 is NOT the answer Could 3A + 6 = 318 3A = 312 A = 104 This IS an EVEN INTEGER! The numbers would be 104, 106 and 108. This IS the answer Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



GMAT Tutor
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 621
Location: India
Concentration: Finance, Marketing
GPA: 3
WE: Information Technology (Computer Software)

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
21 Nov 2015, 08:52
Please tag number properties. Thank you banksy wrote: If x, y, and z are consecutive even positive integers, which of the following could be equal to x + y + z ?
A. 141 B. 200 C. 318 D. 391 E. 412
_________________
Ankit
Check my Tutoring Site > Brush My Quant
GMAT Quant Tutor How to start GMAT preparations? How to Improve Quant Score? Gmatclub Topic Tags Check out my GMAT debrief
How to Solve : Statistics  Reflection of a line  Remainder Problems  Inequalities



Manager
Joined: 17 Jun 2015
Posts: 205
GMAT 1: 540 Q39 V26 GMAT 2: 680 Q46 V37

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
25 Dec 2015, 12:37
Three consecutive even integers would be (2n  2), 2n, (2n +2) The sum is 6n. Only option C is a multiple of 6.
_________________
Fais de ta vie un rêve et d'un rêve une réalité



Current Student
Joined: 12 Aug 2015
Posts: 2616

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
19 Jan 2017, 14:27



Manager
Joined: 25 Mar 2013
Posts: 238
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
20 Jan 2017, 07:43
x + (x+2) + (x+4) 3x + 6 = 318 Only option C
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you



Intern
Joined: 01 Mar 2015
Posts: 36
Location: India
Concentration: Entrepreneurship, International Business

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
22 Jan 2017, 00:06
Take the three consecutive even numbers as x2,x and x+2. So the sum is 3x. So the problem boils down to: Which of the answer choices is a multiple of 3. Job done.
_________________
In the pursuit of a better GMAT score. You can help me by giving me kudos if you like my post.



NonHuman User
Joined: 09 Sep 2013
Posts: 10177

Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
Show Tags
26 Feb 2019, 22:25
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). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: If x, y, and z are consecutive even positive integers, which
[#permalink]
26 Feb 2019, 22:25






