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 S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

20 Jan 2015, 09:01

1

This post received KUDOS

Bunuel wrote:

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.

(2) The range of set S is divisible by 4.

Kudos for a correct solution.

S is an evenly spaced set thus median=mean. The median/mean of an evenly spaced set of consecutive even numbers is odd when the number of elements in the set is EVEN. For instance (2; 4; 6) median=mean=4=even; (2; 4; 6; 8) median=mean=5=odd.

Every statement that helps us determine the number of elements in S is sufficient.

statement 1: Sufficient. If mean=median=even number of element in S=odd.

statement 2: Not sufficient, we have no clue about how many elements are in S.

Answer is A.
_________________

learn the rules of the game, then play better than anyone else.

Re: If S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

21 Jan 2015, 00:04

1

This post received KUDOS

D

2nd Stmnt says Max-Min is divisible by 4. Consider ( 2n-2, 2n, 2n +2) or (2n, 2n+2, 2n +4) or ( 2n-4, 2n-2, 2n, 2n+2, 2n+4) ..... all these cases satisfy the stmnt Hence Median is even (i.e. not odd.) ... Sufficient

If you have even number of terms, it will not satisfy the Divisibility by 4 constraint

Re: If S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

21 Jan 2015, 00:39

1

This post received KUDOS

Bunuel wrote:

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.

(2) The range of set S is divisible by 4.

Kudos for a correct solution.

Statement 1 The question says S is a finite set of consecutive even integers, which means it is an equally spaced set. In equally spaced set mean = median so median is even ... Sufficient

Statement 2 Range of set S will be divisible by 4 only when the number of values is odd, which means the middle value is even. So median is even ... Sufficient

We can do this either with number picking or algebra

Lets suppose set S is [2,4,6] or [2,4,6,8,10] or [2,4,6,8,10,12,14] Range in first set is 4 in second set and in last set 12. For range to be 4 we need minimum of three consecutive even integers from there on you can keep on adding two more values and we ll get multiples of 4 as range. So the number of values in the set will always be odd.

Re: If S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

21 Jan 2015, 12:40

gmat6nplus1 wrote:

Bunuel wrote:

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.

(2) The range of set S is divisible by 4.

Kudos for a correct solution.

S is an evenly spaced set thus median=mean. The median/mean of an evenly spaced set of consecutive even numbers is odd when the number of elements in the set is EVEN. For instance (2; 4; 6) median=mean=4=even; (2; 4; 6; 8) median=mean=5=odd.

Every statement that helps us determine the number of elements in S is sufficient.

statement 1: Sufficient. If mean=median=even number of element in S=odd.

statement 2: Not sufficient, we have no clue about how many elements are in S.

Answer is A.

I don't think it will matter how many terms are in S, because we know they are consecutive and we know that the range is 4. This combination only works with an odd number of terms I reckon.
_________________

"Hardwork is the easiest way to success." - Aviram

One more shot at the GMAT...aiming for a more balanced score.

Re: If S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

21 Jan 2015, 19:19

1

This post received KUDOS

The Rule that you have to know for this problem: - "If the number of terms in a set of consecutive even integers is even, then the median is odd" - "If the number of terms in a set of consecutive even integers is odd, then the median is even"

You can try this with the following sets: 2, 4, 6, 8 (Median = 5) 2, 4, 6, 8, 10 (Median = 6)

As you know, mean and median are equal in evenly spaced sets.

Statement 1: Sufficient If the mean is even, then the median is even.

Statement 2: Sufficient You can try different scenarios and you´ll always yield to the right answer. However, I wouldn´t know how to explain the algebraic approach.

OA = D
_________________

Consider giving me Kudos if I helped, but don´t take them away if I didn´t!

Re: If S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

21 Jan 2015, 22:30

1

This post received KUDOS

Bunuel wrote:

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.

(2) The range of set S is divisible by 4.

Kudos for a correct solution.

Good question! I also go with D. Basically median of S is odd if # terms in S is even and vice versa. So we really only need to know# terms in S.

1) Mean of set is even --> the #terms is odd. Just visualize with simple examples, (2,4,6) and (2,4,6,8). Only if #terms is odd, mean is even. SUFFICIENT. 2) Range is divisible by 4. Again this would mean the #terms is odd (using same examples as above). SUFFICIENT.

Re: If S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

21 Jan 2015, 23:39

1

This post received KUDOS

Just go with sample data for this kind of problem Consecutive even numbers {2,4,6,8...} From statement1--> mean is an even number -->{2,4,6,8}-->Median is odd number => Statement1 is sufficient From statement2--> Range is divisble by 4 --> {2,4,6,8,10} --> Median is even number => Statement 2 is sufficient Answer should D -->Both the statement alone is sufficient

Re: If S is a finite set of consecutive even numbers, is the median of S [#permalink]

Show Tags

10 Sep 2017, 23:53

Bunuel wrote:

If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.

(2) The range of set S is divisible by 4.

Kudos for a correct solution.

So there's a couple of housekeeping rules with stat ds question- the mean of a set of consecutive integers will always be the median. This applies to consecutive even sets and consecutive odd sets too.

St 1

Clearly gives us info about the median

St 2

In order to have a range that is a multiple of 4 the number of terms in the set must be odd: 3,5,7, etc. And because of this the median will always be even.