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:

Statement (1):
sum of numbers from one to x = x(x+1)/2
average = (x(x+1)/2)/x = 11
(x+1)/2 = 11
x+1 = 22; therefore x = 21
now that we know x the median is easy to find
median = 11

Statement (2):
Range = x - 1 = 20; therefore x = 21

The Q stem does not say consecutive ....".....set of integers ......" so I guess the ans should be E

What does this mean "the set of integers from 1 to x inclusive?"?
doesn't it mean all the integers between 1 and X? If the set of numbers is not given in consecutive order they still have to be ordered to get the median.

Last edited by trublu on 13 Feb 2006, 20:22, edited 1 time in total.

explain it to me then. You said the question was about the median not about x. However, you need x to get the median so I don't understand your reasoning.

@jacksparrow I dont think order matters. for example, the sums for the following sets is equal {1,2,3} or {3,1,2}

explain it to me then. You said the question was about the median not about x. However, you need x to get the median so I don't understand your reasoning.

@jacksparrow I dont think order matters. for example, the sums for the following sets is equal {1,2,3} or {3,1,2}

the question is not that much difficult one and doesnot need this much discussion. it is pretty much clear and easy. anyway, let me try:

from i, avg = 11. but we donot know how many integers are there in between 1 to x.

suppose the no. of integers is = 3 and the integers are 1, 11 and 21. the median is 11.
suppose the integers are 1, 10, 22. the median is 10.

we can vary the number of integers such as 2,4,5,6,7,8........infinite.
so there is not one median. i is insufficient.

from ii, the first and last integers are 1 and 21. but we donot know how many integers are there in between 1 and 21. we can insert infinite number of integers in between 1 and 21. so this is also not suff.

even combining statements i and ii, we cannot make sure the value of median. so the answer is E.

hope this helps. if not, you need to contact honghu.

I see what you mean but I thought "the set of integers from 1 to x inclusive" meant ALL the numbers between 1 and x with both included. So if x = 8 the set is {1,2,3,4,5,6,7,8}.

x is an integer greater than 7. What is the median of the set of integers from 1 to x inclusive?

(1) The average of the set of integers from 1 to x inclusive is 11.

(2) The range of the set of integers from 1 to x inclusive is 20.

The question is unclear, in my opinion, which you should not expect from the official GMAT. If the stem says "the set of consecutive integers" then D would be the answer. However here we do not know how many integers are in the set, although the use of "the" instead of "a" made it sounds like there could only be one set of integers from 1 to x.

I would personally choose E as well. Even if we know x we don't know the median of the set if we don't know how the set looks like. For example, a set can be {1,21} with a median 11. But another set could be {1,8,12,13,21} where the median is 12.
_________________

Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

x is an integer greater than 7. What is the median of the set of integers from 1 to x inclusive?

(1) The average of the set of integers from 1 to x inclusive is 11.

(2) The range of the set of integers from 1 to x inclusive is 20.

The question is unclear, in my opinion, which you should not expect from the official GMAT. If the stem says "the set of consecutive integers" then D would be the answer. However here we do not know how many integers are in the set, although the use of "the" instead of "a" made it sounds like there could only be one set of integers from 1 to x.

I would personally choose E as well. Even if we know x we don't know the median of the set if we don't know how the set looks like. For example, a set can be {1,21} with a median 11. But another set could be {1,8,12,13,21} where the median is 12.

you are right HongHu the question is not clear and yes it's not from offical GMAT its MGMAT question ..