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: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

11 Nov 2017, 05:02

Bunuel wrote:

Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60 B. -48 C. -45 D. -38 E. -32

will go with C ... The largest number must be greater than or equal to 15.. lets plugin value ... a. -60 --then if range have to be 60...greatest number will be 0 --( 0-(-60) = 60 range ..but greatest number cannot be less than 15 , so out b -48 - we will get greatest number as 12 ..so out C- -45 --we will get greatest number as 15.... (15-(-45)) = 60 ..range ..so our answer ..

Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

11 Nov 2017, 05:13

1

This post received KUDOS

Bunuel wrote:

Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60 B. -48 C. -45 D. -38 E. -32

\(Range = Max - Min\)

so \(Min = Max - Range => Min = Max - 60\)

so for \(Min\) value to be the lowest \(Max\) value has to be as low as possible. But \(Max\) value cannot be lower than the median value. and as all numbers have to be different, so \(Max=15+7=22\) (as all numbers are integer, so to make Max value as low as possible, every number after median has to increase by 1)

\(=> Min = 22-60=-38\)

Option D

Last edited by niks18 on 11 Nov 2017, 05:44, edited 2 times in total.

Re: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

11 Nov 2017, 09:22

sobby wrote:

Bunuel wrote:

Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60 B. -48 C. -45 D. -38 E. -32

will go with C ... The largest number must be greater than or equal to 15.. lets plugin value ... a. -60 --then if range have to be 60...greatest number will be 0 --( 0-(-60) = 60 range ..but greatest number cannot be less than 15 , so out b -48 - we will get greatest number as 12 ..so out C- -45 --we will get greatest number as 15.... (15-(-45)) = 60 ..range ..so our answer ..

If the largest number in the set is 15 then how can you say that 15 will be a median? As the given set is a set of distinct number, we can not have 15 as a largest number. Answer should be D. 22-(-38)=60 -38,........., 15(median), 16, 17,18,19,20,21,22

Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

11 Nov 2017, 18:19

Least possible value is Median - range = 15-60 = -45 the lesser the maximum value, the lesser will be the minimum value. We can not lower the maximum value, beyond median, ie.,15.

Re: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

11 Nov 2017, 19:24

sudha8050 wrote:

Least possible value is Median - range = 15-60 = -45 the lesser the maximum value, the lesser will be the minimum value. We can not lower the maximum value, beyond median, ie.,15.

Here you are assuming that the Median, 15 = Maximum value. but its mentioned in the question that all numbers are different. so in my opinion answer should be D

Re: Set J consists of 15 different integers. If the median of Set J is 15 [#permalink]

Show Tags

12 Nov 2017, 00:02

sobby wrote:

Bunuel wrote:

Set J consists of 15 different integers. If the median of Set J is 15 and the range is 60, what is the smallest possible value contained within Set J?

A. -60 B. -48 C. -45 D. -38 E. -32

will go with C ... The largest number must be greater than or equal to 15.. lets plugin value ... a. -60 --then if range have to be 60...greatest number will be 0 --( 0-(-60) = 60 range ..but greatest number cannot be less than 15 , so out b -48 - we will get greatest number as 12 ..so out C- -45 --we will get greatest number as 15.... (15-(-45)) = 60 ..range ..so our answer ..

C cant be the answer. Answer is D. We need 15 different integers-so 15 cant be the greatest number.