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

 It is currently 28 Aug 2016, 12:37

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 <

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Manager
Joined: 16 Feb 2012
Posts: 237
Concentration: Finance, Economics
Followers: 7

Kudos [?]: 232 [1] , given: 121

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

14 May 2012, 12:55
1
This post received
KUDOS
00:00

Difficulty:

35% (medium)

Question Stats:

64% (02:07) correct 36% (01:05) wrong based on 197 sessions

HideShow timer Statistics

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

(1) The median of the numbers in S is less than 5.
(2) The median of the numbers in S is greater than 1.
[Reveal] Spoiler: OA

_________________

Kudos if you like the post!

Failing to plan is planning to fail.

Math Expert
Joined: 02 Sep 2009
Posts: 34475
Followers: 6287

Kudos [?]: 79761 [2] , given: 10022

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

14 May 2012, 14:09
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Stiv wrote:
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

(1) The median of the numbers in S is less than 5.
(2) the median of the numbers in S is greater than 1.

If set S consists of the numbers 1, 5,-2, 8 and n, is 0 < n < 7?

Note that:
If a set has odd number of terms the median of a set is the middle number when arranged in ascending or descending order;
If a set has even number of terms the median of a set is the average of the two middle terms when arranged in ascending or descending order.

So the median of our set of 5 numbers: {-2, 1, 5, 8, n} must be the middle number, so it can be:
1 if $$n\leq{1}$$;
5 if $$n\geq{5}$$;
$$n$$ itself if $$1\leq{n}\leq{5}$$.

(1) The median of the numbers in S is less than 5 --> so either the median=1 and in this case $$n\leq{1}$$ so not necessarily in the range $$0<n<7$$ or median=n and in this case $$1\leq{n}<{5}$$ and in this case $$0<n<7$$ is always true. Not sufficient.

(2) The median of the numbers in S is greater than 1 --> again either the median=5 and in this case $$n\geq{5}$$ so not necessarily in the range $$0<n<7$$ or median=n and in this case $$1<{n}\leq{5}$$ and in this case $$0<n<7$$ is always true. Not sufficient.

(1)+(2) $$1<median<5$$ --> $$median=n$$ --> $$1<n<5$$, so $$0<n<7$$ is true. Sufficient.

Answer: C.
_________________
Manager
Joined: 16 Feb 2012
Posts: 237
Concentration: Finance, Economics
Followers: 7

Kudos [?]: 232 [0], given: 121

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

16 May 2012, 03:52
Thank you! It's clear now.
_________________

Kudos if you like the post!

Failing to plan is planning to fail.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11113
Followers: 511

Kudos [?]: 134 [0], given: 0

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

14 Oct 2014, 05:33
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 17 May 2015
Posts: 27
Followers: 0

Kudos [?]: 4 [0], given: 6

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

17 Jan 2016, 06:43
Dear expert
Can the answer be D .
I understand the question asking whether 0<n<7
From Statement 1 , we get 1=<n<5, hence n is within 0<n<7 , thus it is sufficient
From statement 2, we get 1<n<=5, n is within 0<n<7, thus it is sufficient ,
Am I understand it wrongly
Appreciate could shed some lights
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 3974
Followers: 247

Kudos [?]: 2646 [0], given: 97

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

17 Jan 2016, 06:57
apple08 wrote:
Dear expert
Can the answer be D .
I understand the question asking whether 0<n<7
From Statement 1 , we get 1=<n<5, hence n is within 0<n<7 , thus it is sufficient
From statement 2, we get 1<n<=5, n is within 0<n<7, thus it is sufficient ,
Am I understand it wrongly
Appreciate could shed some lights

Hi,
you do not get what you are assuming above.
i'll try to explain where you are going wrong..

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?
(1) The median of the numbers in S is less than 5.
median means the central value..
lets put these numbers in ascending order..
-2,1,5,8 and n ; we are given median is less than 5....

so n can take any value less than 5..
if its 4... -2,1,4,5,8.... median is 4
if its 0... -2,0,1,5,8.... median is 1
so if n is between 1 and 5, n is the median and if n < =1, median will be 1...
so n <5..... insuff, as we are asked if 0 < n < 7..
n can be anything -100,-50

(2) The median of the numbers in S is greater than 1..
now lets put these numbers in ascending order..
-2,1,5,8 and n ; we are given median >1....

so n can take any value >1..
if its 2... -2,1,2,5,8.... median is 2
if its 6 ... -2,0,5,6,8.... median is 5
so if n is between 1 and 5, n is the median and if n > =5, median will be 5...
so n >1..... insuff, as we are asked if 0 < n < 7..
n can be anything 70,6 etc..

combined we know the median is between 1 and 5..
this means n will be the meadian..
so n is between 1 and 5, suff
C
hope helps
_________________

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

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 1679
GPA: 3.82
Followers: 114

Kudos [?]: 950 [0], given: 0

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

17 Jan 2016, 22:26
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?

(1) The median of the numbers in S is less than 5.
(2) The median of the numbers in S is greater than 1.

When it comes to inequality for DS questions, if range of que include range of con, it means the con is sufficient.
In the original condition, there is 1 variable(n), which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), if n<5, the range of que doesn’t include the range of con, which is not sufficient.
For 2), if 1<n, the range of que doesn’t include the range of con, which is not sufficient.
When 1) & 2), they become 1<n<5. The range of que includes the range of con, which is sufficient. Therefore, the answer is C.

 For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Senior Manager
Joined: 27 Jul 2014
Posts: 341
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Followers: 1

Kudos [?]: 12 [0], given: 15

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

18 Jan 2016, 05:37
chetan2u wrote:
apple08 wrote:
Dear expert
Can the answer be D .
I understand the question asking whether 0<n<7
From Statement 1 , we get 1=<n<5, hence n is within 0<n<7 , thus it is sufficient
From statement 2, we get 1<n<=5, n is within 0<n<7, thus it is sufficient ,
Am I understand it wrongly
Appreciate could shed some lights

Hi,
you do not get what you are assuming above.
i'll try to explain where you are going wrong..

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?
(1) The median of the numbers in S is less than 5.
median means the central value..
lets put these numbers in ascending order..
-2,1,5,8 and n ; we are given median is less than 5....

so n can take any value less than 5..
if its 4... -2,1,4,5,8.... median is 4
if its 0... -2,0,1,5,8.... median is 1
so if n is between 1 and 5, n is the median and if n < =1, median will be 1...
so n <5..... insuff, as we are asked if 0 < n < 7..
n can be anything -100,-50

(2) The median of the numbers in S is greater than 1..
now lets put these numbers in ascending order..
-2,1,5,8 and n ; we are given median >1....

so n can take any value >1..
if its 2... -2,1,2,5,8.... median is 2
if its 6 ... -2,0,5,6,8.... median is 5
so if n is between 1 and 5, n is the median and if n > =5, median will be 5...
so n >1..... insuff, as we are asked if 0 < n < 7..
n can be anything 70,6 etc..

combined we know the median is between 1 and 5..
this means n will be the meadian..
so n is between 1 and 5, suff
C
hope helps

Hi Chetan,

I also tried the same approach and marked E when I deduced 1<n<5 as question is stating if 0<n<7
ISN'T 1<n<5 subset of 0<n<7 , so how can we say n exists between 0 and 7

Please resolve the confusion
Verbal Forum Moderator
Joined: 02 Aug 2009
Posts: 3974
Followers: 247

Kudos [?]: 2646 [1] , given: 97

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

18 Jan 2016, 05:49
1
This post received
KUDOS
Expert's post
kanigmat011 wrote:
chetan2u wrote:
apple08 wrote:
Dear expert
Can the answer be D .
I understand the question asking whether 0<n<7
From Statement 1 , we get 1=<n<5, hence n is within 0<n<7 , thus it is sufficient
From statement 2, we get 1<n<=5, n is within 0<n<7, thus it is sufficient ,
Am I understand it wrongly
Appreciate could shed some lights

Hi,
you do not get what you are assuming above.
i'll try to explain where you are going wrong..

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?
(1) The median of the numbers in S is less than 5.
median means the central value..
lets put these numbers in ascending order..
-2,1,5,8 and n ; we are given median is less than 5....

so n can take any value less than 5..
if its 4... -2,1,4,5,8.... median is 4
if its 0... -2,0,1,5,8.... median is 1
so if n is between 1 and 5, n is the median and if n < =1, median will be 1...
so n <5..... insuff, as we are asked if 0 < n < 7..
n can be anything -100,-50

(2) The median of the numbers in S is greater than 1..
now lets put these numbers in ascending order..
-2,1,5,8 and n ; we are given median >1....

so n can take any value >1..
if its 2... -2,1,2,5,8.... median is 2
if its 6 ... -2,0,5,6,8.... median is 5
so if n is between 1 and 5, n is the median and if n > =5, median will be 5...
so n >1..... insuff, as we are asked if 0 < n < 7..
n can be anything 70,6 etc..

combined we know the median is between 1 and 5..
this means n will be the meadian..
so n is between 1 and 5, suff
C
hope helps

Hi Chetan,

I also tried the same approach and marked E when I deduced 1<n<5 as question is stating if 0<n<7
ISN'T 1<n<5 subset of 0<n<7 , so how can we say n exists between 0 and 7

Please resolve the confusion

Hi kani,
any value of n is between 1 and 5, this has to be true for whatever this set is a subset of...
say n is 2 or 3, it will always be between the main set..
so if you get your answer as 1<n<5 and the main Q asks you if n is a positive integer, that would be true since any value of n will be true

the vice versa will not be correct..
that is we get 0<n<7 and answer asks if 1<n<5,.. it is not suff, as it doe snot contain 6,5 and 1...
_________________

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: 27 Jul 2014
Posts: 341
Schools: ISB '15
GMAT 1: 660 Q49 V30
GPA: 3.76
Followers: 1

Kudos [?]: 12 [0], given: 15

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

18 Jan 2016, 05:55
Point Noted
Thanks Chetan
Manager
Joined: 18 Feb 2015
Posts: 74
Followers: 1

Kudos [?]: 29 [0], given: 15

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ? [#permalink]

Show Tags

15 Aug 2016, 01:47
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?
(1) The median of the numbers in S is less than 5.
(2) The median of the numbers in S is greater than 1.
Intern
Joined: 29 Jun 2016
Posts: 49
Followers: 1

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

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ? [#permalink]

Show Tags

15 Aug 2016, 02:55
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?
(1) The median of the numbers in S is less than 5.
(2) The median of the numbers in S is greater than 1.

Given numbers are
-2 1 5 8 and n
Statement 1:
if median is less than 5
it can be 1 or n
if it is 1 => n<1
if it is n => n<5
not sufficient

Statement 2:
median is greater than 1
=>median can be 5 or n
if 5 =>n>5
if n => 1<n<5
not sufficient

Together
median is >1 and <5
=> n is 1<n<5
thus answer option C
Math Expert
Joined: 02 Sep 2009
Posts: 34475
Followers: 6287

Kudos [?]: 79761 [0], given: 10022

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]

Show Tags

15 Aug 2016, 03:31
HarveyKlaus wrote:
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ?
(1) The median of the numbers in S is less than 5.
(2) The median of the numbers in S is greater than 1.

Merging topics. Please refer to the discussion above.
_________________
Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 <   [#permalink] 15 Aug 2016, 03:31
Similar topics Replies Last post
Similar
Topics:
If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < n < 7 ? 0 15 Aug 2016, 02:55
2 A set S contains five numbers k, k + 1, 2k - 1, 5k + 7 and 6k + 8. If 10 03 May 2015, 22:42
15 If 2 < x < 4, what is the median of the numbers 0, 5, x, 1, 12 30 Nov 2013, 11:54
2 If set S consists of the numbers n, -2, and 4... 2 24 Jun 2013, 12:54
If set S consists of the numbers 1, 5, -2, 8 and n, is 0 2 21 Aug 2011, 07:46
Display posts from previous: Sort by

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 <

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.