GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 19:53

### 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

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

# If s is the sum of consecutive even integers w, x, y, and z

Author Message
TAGS:

### Hide Tags

Manager
Joined: 22 Apr 2011
Posts: 119
If s is the sum of consecutive even integers w, x, y, and z  [#permalink]

### Show Tags

05 Jun 2012, 19:10
2
00:00

Difficulty:

35% (medium)

Question Stats:

75% (01:52) correct 25% (01:48) wrong based on 232 sessions

### HideShow timer Statistics

If s is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT

A. z - w = 3(y - x)
B. s is divisible by 8
C. The average of w, x, y, and z is odd
D. s is divisible by 4
E. w + x + 8 = y + z

_________________
some people are successful, because they have been fortunate enough and some people earn success, because they have been determined.....

please press kudos if you like my post.... i am begging for kudos...lol
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9706
Location: Pune, India

### Show Tags

06 Jun 2012, 01:15
2
1
alchemist009 wrote:
If s is the sum of consecutive even integers w, x, y, and z,
where w < x < y < z, all of the following must be true
EXCEPT
(A) z - w = 3(y - x)
(B) s is divisible by 8
(C) The average of w, x, y, and z is odd
(D) s is divisible by 4
(E) w + x + 8 = y + z

Just assume that the numbers are 2a, 2a+2, 2a+4 and 2a+6.

s = 2a + 2a+2 + 2a+4 + 2a+6 = 8a + 12

Focus on the easiest options first. You see that s is not divisible by 8. Answer (B)

Or you can take values: w = 0, x = 2, y = 4, z = 6. Their sum is 12 = s.
_________________
Karishma
Veritas Prep GMAT Instructor

Intern
Joined: 18 Jul 2015
Posts: 16
Re: If s is the sum of consecutive even integers w, x, y, and z  [#permalink]

### Show Tags

21 Jul 2015, 14:08
I am new to the forum, I still do not understand the concept about consecutive integers and inclusive integers and does even numbers factor in? Can someone please explain

thanks Hyder
CEO
Joined: 20 Mar 2014
Posts: 2597
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: If s is the sum of consecutive even integers w, x, y, and z  [#permalink]

### Show Tags

21 Jul 2015, 14:17
hyder27 wrote:
I am new to the forum, I still do not understand the concept about consecutive integers and inclusive integers and does even numbers factor in? Can someone please explain

thanks Hyder

"Consecutive" means one after the other.

1,2,3,4,5,6... are consecutive integers while 1,4,5,6,10,15,20... are non consecutive integers.

I have answered your other post for "inclusive" integers at the location set-a-consists-of-the-integers-from-4-to-12-inclusive-while-set-b-202080.html#p1551976

Even numbers will always be a part of set of consecutive integers (set having more than 1 integers). Any odd integer is followed by an even integer.
Intern
Joined: 18 Jul 2015
Posts: 16
Re: If s is the sum of consecutive even integers w, x, y, and z  [#permalink]

### Show Tags

21 Jul 2015, 14:26
@Enger2012

thanks for a fast response, i understood the concept about consecutive and non and even integers, will look at the post for inclusive integers thanks

Hyder
Non-Human User
Joined: 09 Sep 2013
Posts: 13263
Re: If s is the sum of consecutive even integers w, x, y, and z  [#permalink]

### Show Tags

14 Jul 2017, 22:34
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.
_________________
Re: If s is the sum of consecutive even integers w, x, y, and z   [#permalink] 14 Jul 2017, 22:34
Display posts from previous: Sort by