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

 It is currently 29 Jul 2015, 08:08

### 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

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

Author Message
TAGS:
Senior Manager
Joined: 16 Feb 2012
Posts: 256
Concentration: Finance, Economics
Followers: 4

Kudos [?]: 124 [1] , given: 121

If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]  14 May 2012, 11:55
1
KUDOS
00:00

Difficulty:

35% (medium)

Question Stats:

63% (02:18) correct 37% (01:27) wrong based on 103 sessions
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: 28753
Followers: 4583

Kudos [?]: 47241 [2] , given: 7115

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]  14 May 2012, 13:09
2
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.

_________________
Senior Manager
Joined: 16 Feb 2012
Posts: 256
Concentration: Finance, Economics
Followers: 4

Kudos [?]: 124 [0], given: 121

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]  16 May 2012, 02:52
Thank you! It's clear now.
_________________

Kudos if you like the post!

Failing to plan is planning to fail.

Intern
Joined: 18 Jun 2012
Posts: 44
Followers: 1

Kudos [?]: 4 [0], given: 15

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]  16 Jul 2012, 04:44
If set S consist 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.

Can someone please solve it first with proper explanation and then i will ask the doubt .
Math Expert
Joined: 02 Sep 2009
Posts: 28753
Followers: 4583

Kudos [?]: 47241 [0], given: 7115

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]  16 Jul 2012, 04:48
Expert's post
smartmanav wrote:
If set S consist 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.

Can someone please solve it first with proper explanation and then i will ask the doubt .

Merging similar topics. Please refer to the solution above.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 5680
Followers: 321

Kudos [?]: 61 [0], given: 0

Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 < [#permalink]  14 Oct 2014, 04:33
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.
_________________
Re: If set S consists of the numbers 1, 5, -2, 8, and n, is 0 <   [#permalink] 14 Oct 2014, 04:33
Similar topics Replies Last post
Similar
Topics:
2 A set S contains five numbers k, k + 1, 2k - 1, 5k + 7 and 6k + 8. If 10 03 May 2015, 21:42
7 If 2 < x < 4, what is the median of the numbers 0, 5, x, 1, 6 30 Nov 2013, 10:54
2 If set S consists of the numbers n, -2, and 4... 2 24 Jun 2013, 11:54
If set S consists of the numbers 1, 5, -2, 8 and n, is 0 2 21 Aug 2011, 06:46
1 Is m^n >= 0? 1. m< 0 and n is an integer . 2. n<0 1 20 Dec 2010, 09:21
Display posts from previous: Sort by