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:

Set S consists of 5 consecutive integers, and set T consists [#permalink]

Show Tags

04 Nov 2006, 04:25

5

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

33% (02:43) correct
67% (01:12) wrong based on 205 sessions

HideShow timer Statistics

Set S consists of 5 consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

(1) The median of the numbers in set S is 0 (2) The sum of the numbers in set S is equal to the sum of the numbers in set T

Set S consists of 5 consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

1) The median of the numbers in set S is O 2) The sum of the numbers in set S is equal to the sum of the numbers in set T

Here is how I see it...

1) S could be (-2, -1, 0, 1, 2)....but set T could be anything. INSUFFICIENT

2) Set S could be (5, 6, 7, 8, 9) with sum of 35 and median of 7
but....
Set T could be (2, 3, 4, 5, 6, 7, 8) with sum of 35 and median of 5 INSUFFICIENT

Combine: S must be (-2, -1, 0, 1, 2) with a sum of 0 and a median of 0
T must then have sum of 0, so T is (-3, -2, -1, 0, 1, 2, 3) sum 0 and median 0. SUFFICIENT

Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

Sets S and T are evenly spaced. In any evenly spaced set (aka arithmetic progression): (mean) = (median) = (the average of the first and the last terms) and (the sum of the elements) = (the mean) * (# of elements).

So the question asks whether (mean of S) = (mean of T)?

(1) The median of the numbers in Set S is 0 --> (mean of S) = 0, insufficient as we know nothing about the mean of T, which may or may not be zero.

(2) The sum of the numbers in set S is equal to the sum of the numbers in set T --> 5*(mean of S) = 7* (mean of T) --> answer to the question will be YES in case (mean of S) = (mean of T) = 0 and will be NO in all other cases (for example (mean of S) =7 and (mean of T) = 5). Not sufficient.

(1)+(2) As from (1) (mean of S) = 0 then from (2) (5*(mean of S) = 7* (mean of T)) --> (mean of T) = 0. Sufficient.

Set S consists of 5 consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

1) The median of the numbers in set S is O
2) The sum of the numbers in set S is equal to the sum of the numbers in set T

set s( s-2,s-1,s,s+1,s+2) set t (b-3,b-2,b-1,b,b+1,b+2,b+3)

from one

insuff if s = 0 b could be anything

from two

5s = 7b , if s = 7 then t = 5 or s, b = zero....insuff

Set S consists of 5 consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

1) The median of the numbers in set S is O 2) The sum of the numbers in set S is equal to the sum of the numbers in set T

Here is how I see it...

1) S could be (-2, -1, 0, 1, 2)....but set T could be anything. INSUFFICIENT

2) Set S could be (5, 6, 7, 8, 9) with sum of 35 and median of 7 but.... Set T could be (2, 3, 4, 5, 6, 7, 8) with sum of 35 and median of 5 INSUFFICIENT

Combine: S must be (-2, -1, 0, 1, 2) with a sum of 0 and a median of 0 T must then have sum of 0, so T is (-3, -2, -1, 0, 1, 2, 3) sum 0 and median 0. SUFFICIENT

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...