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

It is currently 01 Aug 2014, 21:05

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

In a set of 11 consecutive integeres what is the smallest

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 17 Dec 2005
Posts: 555
Location: Germany
Followers: 1

Kudos [?]: 5 [0], given: 0

GMAT Tests User
In a set of 11 consecutive integeres what is the smallest [#permalink] New post 01 Jan 2006, 12:49
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
In a set of 11 consecutive integeres what is the smallest integer ?
a) if x is the smallest integer then (x+72)^1/3 =4
b) if x is the smallest and y is the largest in the set then 16x^-2=y^-2
VP
VP
avatar
Joined: 21 Sep 2003
Posts: 1071
Location: USA
Followers: 3

Kudos [?]: 28 [0], given: 0

GMAT Tests User
 [#permalink] New post 01 Jan 2006, 14:28
D?

1) x = -8

2) 16/x^2-1/y^2 = 0
=> either 4/x-1/y =0 or 4/x+1/y =

Consider 4/x-1/y = 0
=> x = 4y ---(1)
Also since they are 11 consecutive integers y-x = 10 ---(2)
y-4y = 10
or y = -10/3 (NOT an integer) so x =4y cannot be TRUE

Hence 4/x+1/y = 0
or x = -4y
Using (1) y - (-4y) = 10 or y = 2
Hence x = -8
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Senior Manager
Senior Manager
avatar
Joined: 11 Nov 2005
Posts: 336
Location: London
Followers: 1

Kudos [?]: 8 [0], given: 0

GMAT Tests User
 [#permalink] New post 01 Jan 2006, 18:22
go for D.

From stat.1
(x+72)^1/3 =4
or, (x+72)= 4*4*4=64

so x= -8, sufficient


from stat.2, 16/x^2=1/y^2

if i put the value of x as -8, (just as picking a number not from stat 1, a short cut) then y=2, which satisfy x y are smallest and largest of 11 consequtive integers. Other values of x/y will not satisfy 16/x^2=1/y^2
and therefore from stat2. x=-8
Sufficient.
Intern
Intern
avatar
Joined: 30 Dec 2005
Posts: 1
Followers: 0

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

 [#permalink] New post 02 Jan 2006, 02:31
It is apparent that

a) if x is the smallest integer then (x+72)^1/3 =4
is sufficient because x can be evaluated. Then the remaining numbers can be dedced.

But
b) if x is the smallest and y is the largest in the set then 16x^-2=y^-2
can be resolved as follows:
(4^2)(x^-2)=y^-2
((4^2)(x^-2))^-1=(y^-2)^-1
(4^-2)(x^2)=y^2
(4^-1)x=y
x=4y

This is definitely not sufficient to solve the problem.

PostPosted: Sun Jan 01, 2006 12:49 pm Post subject: DS - consecuitve integers - find x Reply with quote
I've picked up this questions in the forum. The answer remained unclear that's why I post it again. I've no OA! Please show working.
Senior Manager
Senior Manager
User avatar
Joined: 14 Apr 2005
Posts: 422
Location: India, Chennai
Followers: 1

Kudos [?]: 3 [0], given: 0

GMAT Tests User
 [#permalink] New post 02 Jan 2006, 03:37
giddi77 wrote:
D?

1) x = -8

2) 16/x^2-1/y^2 = 0
=> either 4/x-1/y =0 or 4/x+1/y =

Consider 4/x-1/y = 0
=> x = 4y ---(1)
Also since they are 11 consecutive integers y-x = 10 ---(2)
y-4y = 10
or y = -10/3 (NOT an integer) so x =4y cannot be TRUE

Hence 4/x+1/y = 0
or x = -4y
Using (1) y - (-4y) = 10 or y = 2
Hence x = -8


I agree. I also liked the way you solved this problem. :)
  [#permalink] 02 Jan 2006, 03:37
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic There is a set of consecutive even integers. What is the Jinglander 3 10 Aug 2010, 07:20
Experts publish their posts in the topic A list contains 11 consecutive integers. what is the puma 13 23 Mar 2008, 07:52
1 A list contains 11 consecutive integers. what is the vermatanya 2 13 Dec 2007, 11:08
What is the average of 11 consecutive integers? 1) The netcaesar 1 14 Nov 2006, 13:10
A list contains 11 consecutive integers. Whats is the Rupstar 9 08 Apr 2005, 09:17
Display posts from previous: Sort by

In a set of 11 consecutive integeres what is the smallest

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.