BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

a median of 25 and a range of 25

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

a median of 25 and a range of 25

by sanju09 » Wed Mar 23, 2011 2:07 am
A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set?
(A) 32
(B) 37
(C) 40
(D) 43
(E) 50



https://www.urch.com/forums/gmat-problem-solving
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Problem Solving |
Legendary Member
Posts: 857
Joined: Wed Aug 25, 2010 1:36 am
Thanked: 56 times
Followed by:15 members

by AIM GMAT » Wed Mar 23, 2011 2:17 am
IMO D . 43

25 = median = 8th term

greatest possible interger so we need the max number .

7 terms before 25 and 7 terms after 25

so 25-7 = 18 will be the least term on the set .

The range is 25 , max - least = 25
=> least + range = max
=> 18+25 = 43
Thanks & Regards,
AIM GMAT
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Wed Mar 23, 2011 3:12 am
sanju09 wrote:A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set?
(A) 32
(B) 37
(C) 40
(D) 43
(E) 50
Median of a set of 15 different integers will be the 8th integer of the series when arranged according to their values.

Now, Largest - Smallest = Range => Largest = (Smallest + Range)
As the range is fixed, we can maximize largest number by maximizing the smallest number.

Maximum possible value of the smallest integer in the set is (25 - 7) = 18, as all the terms are different and 25 is the 8th term.

Hence, greatest possible integer in the set = (18 + Range) = (18 + 25) = 43

The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Post new topic Post Reply
• Page 1 of 1