Find all School-related info fast with the new School-Specific MBA Forum

It is currently 27 Jul 2016, 07:09
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

How many odd integers are greater than the integer x and

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Senior Manager
Senior Manager
User avatar
Joined: 22 Jun 2006
Posts: 286
Followers: 3

Kudos [?]: 29 [0], given: 0

How many odd integers are greater than the integer x and [#permalink]

Show Tags

New post 28 Jul 2007, 13:07
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

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

How many odd integers are greater than the integer x and less than the integer y?

(1) There are 12 even integers greater than x and less than y
(2) There are 24 integers greater than x and less than y

Can someone provide explanations for the 2 statements.

Last edited by nupurgupt on 28 Jul 2007, 21:21, edited 1 time in total.
Senior Manager
Senior Manager
User avatar
Joined: 22 Jun 2006
Posts: 286
Followers: 3

Kudos [?]: 29 [0], given: 0

 [#permalink]

Show Tags

New post 28 Jul 2007, 21:11
How many odd integers are greater than the integer x and less than the integer y?

(1) There are 12 even integers greater than y and less than y
(2) There are 24 integers greater than x and less than y


The way I thought about this is:

(1) Take the interval from 2 to 10 -->
even integers in b/w = 4, 6, 8
odd integers in b/w = 3, 5, 7, 9

Take the interval from 3 to 11 -->
even integers in b/w = 4, 6, 8
odd integers in b/w = 5, 7, 9

Therefore, INSUFFICIENT


(2) Take the interval from 2 to 9 -->
6 integers in b/w = 3, 4, 5, 6, 7, 8
odd integers in b/w = 3, 5, 7

Take the interval from 3 to 10 -->
6 integers in b/w = 4, 5, 6, 7, 8, 9
odd integers in b/w = 5, 7, 9

Therefore, SUFFICIENT


Is there a better explanation for the question (not using brute force).
Any inputs would be appreciated =)
Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2007
Posts: 346
Followers: 1

Kudos [?]: 24 [0], given: 0

 [#permalink]

Show Tags

New post 28 Jul 2007, 21:17
nupurgupt wrote:
How many odd integers are greater than the integer x and less than the integer y?

(1) There are 12 even integers greater than y and less than y
(2) There are 24 integers greater than x and less than y


The way I thought about this is:

(1) Take the interval from 2 to 10 -->
even integers in b/w = 4, 6, 8
odd integers in b/w = 3, 5, 7, 9

Take the interval from 3 to 11 -->
even integers in b/w = 4, 6, 8
odd integers in b/w = 5, 7, 9

Therefore, INSUFFICIENT


(2) Take the interval from 2 to 9 -->
6 integers in b/w = 3, 4, 5, 6, 7, 8
odd integers in b/w = 3, 5, 7

Take the interval from 3 to 10 -->
6 integers in b/w = 4, 5, 6, 7, 8, 9
odd integers in b/w = 5, 7, 9

Therefore, SUFFICIENT


Is there a better explanation for the question (not using brute force).
Any inputs would be appreciated =)


For statement 2 it would be faster without considering numbers.
We know there are 24 integers between x and y. If we have a set of even number of integers exactly half would be odd and the other half even. So statement 2 is sufficient.

If you have copied down statement 1 correctly (12 greater than y and also less than y), then it is clearly insufficient since we have no knowledge of x!!
Senior Manager
Senior Manager
User avatar
Joined: 22 Jun 2006
Posts: 286
Followers: 3

Kudos [?]: 29 [0], given: 0

 [#permalink]

Show Tags

New post 28 Jul 2007, 21:22
Thanks for the expln. Sumande
and also for pointing out the typo in S1, i've fixed it now
Senior Manager
Senior Manager
avatar
Joined: 04 Jun 2007
Posts: 346
Followers: 1

Kudos [?]: 24 [0], given: 0

 [#permalink]

Show Tags

New post 28 Jul 2007, 21:50
nupurgupt wrote:
Thanks for the expln. Sumande
and also for pointing out the typo in S1, i've fixed it now


Statement 1 is still insufficient. There can be 11, 12 or 13 odd integers between x and y.
  [#permalink] 28 Jul 2007, 21:50
Display posts from previous: Sort by

How many odd integers are greater than the integer x and

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.