It is currently 17 Nov 2017, 14:29

### 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

# Consecutive integers

Author Message
Manager
Joined: 25 May 2009
Posts: 142

Kudos [?]: 152 [0], given: 2

Concentration: Finance
GMAT Date: 12-16-2011

### Show Tags

09 Jul 2009, 20:37
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (04:08) wrong based on 3 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

x is the sum of y consecutive integers. w is the sum of z consecutive integers. If y = 2z, and y and z are both positive integers, then each of the following could be true EXCEPT
x = w
x > w
x/y is an integer
w/z is an integer
x/z is an integer

[Reveal] Spoiler:
OA=C

Kudos [?]: 152 [0], given: 2

Retired Moderator
Status: The last round
Joined: 18 Jun 2009
Posts: 1286

Kudos [?]: 1236 [0], given: 157

Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34

### Show Tags

09 Jul 2009, 22:56
Now this is a type of question which I am always shy of (I hope after these early days of my preparation, it will be over)

The only solution in my mind is to solve it by putting integers therein.

If any one has some different way to solve it, kindly let me know.

I have tried it but am stuck!!
_________________

Kudos [?]: 1236 [0], given: 157

Director
Joined: 03 Jun 2009
Posts: 782

Kudos [?]: 917 [0], given: 56

Location: New Delhi
WE 1: 5.5 yrs in IT

### Show Tags

09 Jul 2009, 23:38
IMO C

Given that y = 2z.
This means, y is an even number,
i.e. x is the sum of y consecutive integers, where y is even.

Now, remember that - average of n consecutive numbers, where n is even, is always a non-integer value (in the form of __.5)

C is x/y, i.e. average of consecutive numbers, hence non-integer.
_________________

Kudos [?]: 917 [0], given: 56

Director
Joined: 03 Jun 2009
Posts: 782

Kudos [?]: 917 [0], given: 56

Location: New Delhi
WE 1: 5.5 yrs in IT

### Show Tags

09 Jul 2009, 23:43
another method of substituting values (by hit and trial) and POE:

A. x = w, possible for x=1+2+3+4+5+6, and w=6+7+8
B. x > w, certainly possible, if we use big numbers for x
C. x/y is an integer (leave this one for time being)
D. w/z is an integer, possible, w=1+2+3 and z=3
E. x/z is an integer, possible, x=1+2+3+4+5+6, and z=3

Hence C
_________________

Kudos [?]: 917 [0], given: 56

Re: Consecutive integers   [#permalink] 09 Jul 2009, 23:43
Display posts from previous: Sort by