What is the mean of four consecutive even integers a ,b ,c : Retired Discussions [Locked]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 10:28

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the mean of four consecutive even integers a ,b ,c

Author Message
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4227
Followers: 327

Kudos [?]: 3454 [0], given: 101

What is the mean of four consecutive even integers a ,b ,c [#permalink]

Show Tags

05 Jan 2010, 04:13
What is the mean of four consecutive even integers a ,b ,c ,d ?
i) a+d=b+c
ii) d-a=b+c...
although it is given as B ,i have a query...
do we take the four consecutive even integers a ,b ,c ,d to be written in ascending order...
if not then the ans should be C.....
if the int are in ascending order , shudn't it be mentioned?
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4227
Followers: 327

Kudos [?]: 3454 [0], given: 101

Show Tags

06 Jan 2010, 04:16
looking for sum1 to clarify!
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Senior Manager
Joined: 22 Dec 2009
Posts: 362
Followers: 11

Kudos [?]: 375 [0], given: 47

Show Tags

07 Jan 2010, 11:24
chetan2u wrote:
What is the mean of four consecutive even integers a ,b ,c ,d ?
i) a+d=b+c
ii) d-a=b+c...
although it is given as B ,i have a query...
do we take the four consecutive even integers a ,b ,c ,d to be written in ascending order...
if not then the ans should be C.....
if the int are in ascending order , shudn't it be mentioned?

Dont really understand your question.....(in red)

The question is asking for the mean... of a,b,c,d all even integers... this means... we need to find the value of (a+b+c+d)/4 which would be an even integer for sure.
ST1: gives a+d = b+c...
This gives mean as (a+d)/2 or (b+c)/2.... hence NOT SUFF...

ST2: gives d-a = b+c --> d = a+b+c
Therefore mean = (a+b+c+d)/4 = (d+d)/4 = d/2 .... Hence SUFF.... and answer is B

Why would the order be required???

Cheers!
JT
_________________

Cheers!
JT...........
If u like my post..... payback in Kudos!!

|For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

~~Better Burn Out... Than Fade Away~~

Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4227
Followers: 327

Kudos [?]: 3454 [0], given: 101

Show Tags

07 Jan 2010, 16:24
jeeteshsingh wrote:
chetan2u wrote:
What is the mean of four consecutive even integers a ,b ,c ,d ?
i) a+d=b+c
ii) d-a=b+c...
although it is given as B ,i have a query...
do we take the four consecutive even integers a ,b ,c ,d to be written in ascending order...
if not then the ans should be C.....
if the int are in ascending order , shudn't it be mentioned?

Dont really understand your question.....(in red)

The question is asking for the mean... of a,b,c,d all even integers... this means... we need to find the value of (a+b+c+d)/4 which would be an even integer for sure.
ST1: gives a+d = b+c...
This gives mean as (a+d)/2 or (b+c)/2.... hence NOT SUFF...

ST2: gives d-a = b+c --> d = a+b+c
Therefore mean = (a+b+c+d)/4 = (d+d)/4 = d/2 .... Hence SUFF.... and answer is B

Why would the order be required???

Cheers!
JT

u are giving ans as B... first why i think order is reqd...
if the seq is a,b,c,d... x,x+2,x+4,x+6....SII gives d-a=b+c.... means x+6-x=x+4+x+2....x=0 so nos are 0,2,4,6
mean =3......
but the eq d-a=b+c can be satisfied if ascending order is a,b,d,c eg. -2,0,2,4... here d-a=2-(-2)=4=4+0=4...
mean in this case is 1...
so two diff ans not suff...
SIn SII combined are suff.....
i would like the moderators to clarify on the issue pl...
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Senior Manager
Joined: 22 Dec 2009
Posts: 362
Followers: 11

Kudos [?]: 375 [1] , given: 47

Show Tags

08 Jan 2010, 10:32
1
KUDOS
chetan2u wrote:
jeeteshsingh wrote:
chetan2u wrote:
What is the mean of four consecutive even integers a ,b ,c ,d ?
i) a+d=b+c
ii) d-a=b+c...
although it is given as B ,i have a query...
do we take the four consecutive even integers a ,b ,c ,d to be written in ascending order...
if not then the ans should be C.....
if the int are in ascending order , shudn't it be mentioned?

Dont really understand your question.....(in red)

The question is asking for the mean... of a,b,c,d all even integers... this means... we need to find the value of (a+b+c+d)/4 which would be an even integer for sure.
ST1: gives a+d = b+c...
This gives mean as (a+d)/2 or (b+c)/2.... hence NOT SUFF...

ST2: gives d-a = b+c --> d = a+b+c
Therefore mean = (a+b+c+d)/4 = (d+d)/4 = d/2 .... Hence SUFF.... and answer is B

Why would the order be required???

Cheers!
JT

u are giving ans as B... first why i think order is reqd...
if the seq is a,b,c,d... x,x+2,x+4,x+6....SII gives d-a=b+c.... means x+6-x=x+4+x+2....x=0 so nos are 0,2,4,6
mean =3......
but the eq d-a=b+c can be satisfied if ascending order is a,b,d,c eg. -2,0,2,4... here d-a=2-(-2)=4=4+0=4...
mean in this case is 1...
so two diff ans not suff...
SIn SII combined are suff.....
i would like the moderators to clarify on the issue pl...

If the question says that a,b,c,d are 4 consecutive even integers... I don't think they would consider them to be as 8,2,6,4..... ! Anyway... lets wait for Bunuel or someone else to comment on this! For me... Ans as B looks pretty convincing!
_________________

Cheers!
JT...........
If u like my post..... payback in Kudos!!

|For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

~~Better Burn Out... Than Fade Away~~

Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 4227
Followers: 327

Kudos [?]: 3454 [0], given: 101

Show Tags

08 Jan 2010, 19:03
hi .. i also think it should be given in ascending order... want to confirm it so that not found wanting in future...
i m not sure where but i had done a q somewhere ,where the ans took the possiblity of they not being in an order..
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Moderator
Joined: 10 May 2010
Posts: 825
Followers: 24

Kudos [?]: 401 [0], given: 192

Re: What is the mean of four consecutive even integers a ,b ,c [#permalink]

Show Tags

07 Dec 2011, 12:03
Anyone want to try this one ?? Not sure. I think the answer should be E as we donot know the order of consecutive integers.
_________________

The question is not can you rise up to iconic! The real question is will you ?

Manager
Joined: 19 Jan 2011
Posts: 134
Schools: Michigan (Ross) - Class of 2014
GMAT 1: 760 Q50 V42
GPA: 3.5
Followers: 5

Kudos [?]: 17 [0], given: 19

Re: What is the mean of four consecutive even integers a ,b ,c [#permalink]

Show Tags

08 Dec 2011, 11:25
chetan2u wrote:
What is the mean of four consecutive even integers a ,b ,c ,d ?
i) a+d=b+c
ii) d-a=b+c...
although it is given as B ,i have a query...
do we take the four consecutive even integers a ,b ,c ,d to be written in ascending order...
if not then the ans should be C.....
if the int are in ascending order , shudn't it be mentioned?

Statement 2: d-a=b+c

therefore d-c=a+b ; as we know c and d are consecutive even integers; d-c=2 which gives us a+b=2
there is only one pair of consecutive a and b that works; 0 and 2. Therefore statement 2 is sufficient alone.
Intern
Joined: 14 Jan 2014
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: What is the mean of four consecutive even integers a ,b ,c [#permalink]

Show Tags

22 Apr 2014, 08:28
AbhiJ wrote:
Anyone want to try this one ?? Not sure. I think the answer should be E as we donot know the order of consecutive integers.

I agree , plus we can use the following sequence:
a<b<c<d
-6<-4<-2<0

In this case;

-6-0= -4-2

and mean will be -4-2/2= -3

while if we take the seq as 0<2<4<6

mean will be 4+2/2= 3

thus E
Math Expert
Joined: 02 Sep 2009
Posts: 36582
Followers: 7086

Kudos [?]: 93268 [0], given: 10555

Re: What is the mean of four consecutive even integers a ,b ,c [#permalink]

Show Tags

22 Apr 2014, 08:57
Expert's post
1
This post was
BOOKMARKED
chetan2u wrote:
What is the mean of four consecutive even integers a ,b ,c ,d ?
i) a+d=b+c
ii) d-a=b+c...
although it is given as B ,i have a query...
do we take the four consecutive even integers a ,b ,c ,d to be written in ascending order...
if not then the ans should be C.....
if the int are in ascending order , shudn't it be mentioned?

BELOW IS REVISED VERSION OF THIS QUESTION WITH A SOLUTION:

What is the mean of four consecutive even integers $$a$$, $$b$$, $$c$$ and $$d$$, where $$a<b<c<d$$?

(1) $$a + d = b + c$$. That statement is true for ANY four consecutive even integers. Not sufficient.

(2) $$b + c = d - a$$. Let $$a=2k$$, for some integer $$k$$. Now, since $$a$$, $$b$$, $$c$$ and $$d$$ are consecutive even integers then $$b=2k+2$$, $$c=2k+4$$ and $$d=2k+6$$. So, we have that $$(2k+2)+(2k+4)=(2k+6)-2k$$ --> $$k=0$$ --> $$a=0$$, $$b=2$$, $$c=4$$ and $$d=6$$ --> $$mean=3$$. Sufficient.

_________________
Re: What is the mean of four consecutive even integers a ,b ,c   [#permalink] 22 Apr 2014, 08:57
Similar topics Replies Last post
Similar
Topics:
What do the scores mean and what does "weight" mean 1 03 Jul 2012, 09:08
1 Is (x-y)*(x+y) an even integer? 5 26 May 2011, 09:19
1 What is the product of a certain pair of consecutive odd 7 15 Oct 2010, 23:27
26 Consecutive Integers (m06q28) 32 14 Nov 2008, 14:02
110 What is the last digit 3^{3^3} ? A. 1 B. 3 C. 6 D. 7 E. 9 69 23 Sep 2008, 06:17
Display posts from previous: Sort by

What is the mean of four consecutive even integers a ,b ,c

Moderator: Bunuel

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.