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

It is currently 22 Sep 2014, 22:22

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

Set Q consists of 4 consecutive integers, while set T

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1270
Location: Madrid
Followers: 23

Kudos [?]: 126 [0], given: 0

Set Q consists of 4 consecutive integers, while set T [#permalink] New post 27 Aug 2006, 06:38
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Set Q consists of 4 consecutive integers, while set T consists of 7 consecutive integers. If the sum of the integers in Q is equal to the sum of the integers in T, is the median of the elements in T a positive number?

(1) Q is a subset of T.
(2) The largest integer in set Q is also in set T.

Last edited by kevincan on 27 Aug 2006, 07:19, edited 2 times in total.
Intern
Intern
User avatar
Joined: 24 Jun 2006
Posts: 49
Followers: 0

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

Re: DS: Sets of Consecutive Integers [#permalink] New post 27 Aug 2006, 06:51
kevincan wrote:
Set Q consists of 4 consecutive integers, while set T consists of 7 consecutive integers. What is the sum of the elements in Q?

(1) Q is a subset of S.
(2) The largest integer in set Q is also in set S.


Are u sure that the question is correct? Seems like it should be T instead of S. well, whatever it is, do let me know!

SHA
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1270
Location: Madrid
Followers: 23

Kudos [?]: 126 [0], given: 0

 [#permalink] New post 27 Aug 2006, 07:20
GMATT73 wrote:
E?


You're right, but I left out part of the question. Now corrected!
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1270
Location: Madrid
Followers: 23

Kudos [?]: 126 [0], given: 0

 [#permalink] New post 28 Aug 2006, 04:59
Question has been corrected. Let's try now!
VP
VP
User avatar
Joined: 02 Jun 2006
Posts: 1270
Followers: 2

Kudos [?]: 37 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Aug 2006, 09:03
Let Q = {n, n+1, n+2, n+3}
Let T = {k, k+1, k+2, .., k+6}

Given
Sum Q = Sum T
4n+(1+2+3) = 7k+(1+2+3..6)
4n = 7k+(4+5+6)

4n=7k+15...........(1)

Q: Is median of T > 0?
i.e. k+3 > 0 i.e. k >-3

Is k > -3?


S1: Q subset of T
Therefore, Q is part of T
n can be {k, k+1, k+2, k+3}


Solving (1) with values for n:
a. n=k:
-3k = 15 => k = -5 < -3.

b.n=k+1
4k+4 = 7k+15
-3k = 11; k is integer. Not possible.

c. n=k+2
4k+8 = 7k+15
or -3k=7 Not possible

d. n=k+3
4k+12 = 7k+15
-3k=3=> k=-1 > -3

Not sufficient as two conflicting answers from (a) and (d)

S2: n+3 belongs to T
n+3 can be anyone of the elements of the set T


a. n+3 = k
4k-12 = 7k+15
-3k = 27, k=-9 < -3

b. n+3 = k+1
4k-8 =7k+15
-3k=23 Not possible

c. n+3 = k+2
4k-4 = 7k+15
-3k = 19 Not possible

d. n+3 = k+3
-3k = 15, k = -5 < -3

e. n+3 = k+4
4k+4 = 7k+15
-3k = 11 Not possible

f. n+3 = k+5
4k+8 = 7k+15
-3k = 7 Not possible

g. n+3 = k+6
4k+12 = 7k+15
-3k = 3, k = -1 > -3

From (a), (d), (g) conflicting answers.

Not sufficient.


S1 & S2:
n+3 = k+3 => k = -5 < -3
n+3 = k+4 => Not possible
n+3 = k+5 => Not possible
n+3 = k+6 => k = -1 > -3


Conflicting answers.

Not sufficient.


Answer: E.
  [#permalink] 28 Aug 2006, 09:03
    Similar topics Author Replies Last post
Similar
Topics:
If the set S consists of consecutive integers, are there Himalayan 5 05 Jan 2007, 20:10
4 Experts publish their posts in the topic Set S consists of 5 consecutive integers, and set T consists nischalb 5 04 Nov 2006, 03:25
set S consists of 5 consecutive integers, and set T consists cejismundo 3 16 Sep 2006, 19:32
Set S consistes of 5 consecutive integers, Set T consists of BG 11 16 May 2006, 23:23
Set S consists of 5 consecutive integers. Set T consists of AJB77 10 18 Aug 2005, 08:07
Display posts from previous: Sort by

Set Q consists of 4 consecutive integers, while set T

  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®.