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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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.

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... _________________

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. _________________

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

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

Show Tags

17 Jan 2016, 06:57

Expert's post

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 _________________

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

Show Tags

17 Jan 2016, 22:26

Expert's post

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. _________________

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

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

Cal Newport is a computer science professor at GeorgeTown University, author, blogger and is obsessed with productivity. He writes on this topic in his popular Study Hacks blog. I was...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...