Help needed Experts pls!

Expert replies

srini1988: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Fri Jun 24, 2011 8:52 amFollowed by: 1 member

by srini1988 » Tue Aug 02, 2011 4:29 am

Nine positive integers are contained in set N.The median of the set N is the integer x. and all the values in the set N are 3x or smaller.What is the largest possible average of set N.

I x
II 17x/9
III (17x/9) - 1
IV (17x-4)/9
V 3x

Like this post

Source: Beat The GMAT — Problem Solving | Tue Aug 02, 2011 4:29 am

Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Tue Aug 02, 2011 4:45 am

Hi,
Let the 9 integers be t1,t2,...,t9 when placed in an increasing order.
So, t1<=t2<=...t5<=...<=t9
median is x.
So, t5 = x
For the sum of integers to be maximum, each of the terms should take maximum possible value.
So, t1=t2=...=t5 = x
and t6=t7=t8=t9= 3x
So, avg is [5(x)+4(3x)]/9 = 17x/9

Cheers!

Things are not what they appear to be... nor are they otherwise

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

559 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review