MBA Spotlight – The Biggest MBA Fair is June 13-14
close
It is currently 04 Jun 2023, 09:56
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close

GMAT Club Daily Prep

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel

The average (arithmetic mean) of 4 positive integers is 50.

7 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
avatar
iyersu
Intern
Intern
Joined: 09 Jul 2013
Posts: 10
Concentration: Operations, Marketing
Schools: CUHK '15
GPA: 3.6
GMAT ToolKit User
The average (arithmetic mean) of 4 positive integers is 50. [#permalink] New post  Updated on: 21 Dec 2013, 05:05
1
Kudos
5
Bookmarks
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

83% (01:01) correct 17% (01:36) wrong based on 438 sessions

Hide Show timer Statistics

The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?

A. 55
B. 65
C. 100
D. 109
E. 115
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

Originally posted by iyersu on 21 Dec 2013, 04:31.
Last edited by Bunuel on 21 Dec 2013, 05:05, edited 1 time in total.
Renamed the topic and edited the question.
Quiz Dashboard Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88619
CAT Tests Forum Quiz Mode Top Member of the Month
Re: The average (arithmetic mean) of 4 positive integers is 50. [#permalink] New post  21 Dec 2013, 05:16
2
Kudos
Expert Reply
iyersu wrote:
The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?

A. 55
B. 65
C. 100
D. 109
E. 115


The sum of 4 integers is 4*50 = 200.
The sum of 2 integers is 2*45 = 90.

Thus, the sum of the other 2 integers is 200 - 90 = 110. Since we know that the integers are positive then the greatest one from these two can be 109, the other one being 1.

Answer: D.

Hope it's clear.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
PareshGmat
SVP
SVP
Joined: 27 Dec 2012
Status:The Best Or Nothing
Posts: 1574
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Re: The average (arithmetic mean) of 4 positive integers is 50. [#permalink] New post  10 Sep 2014, 23:01
1
Kudos
iyersu wrote:
The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?

A. 55
B. 65
C. 100
D. 109
E. 115


a + b + c + d = 200

a + b = 90

c + d = 110

Greatest possible = 109 (Just less than 1)

Answer = D
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2317
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User
Re: The average (arithmetic mean) of 4 positive integers is 50. [#permalink] New post  12 Dec 2016, 11:46
Sum(4)=200
Sum(2)=90
Hence um(2 leftovers)=200-90=110

Since there is no restriction of the median
Let one of them be 1 => other one will be 109

Hence D
_________________
Give me a hell yeah ...!!!!!

MBA Recruiting:- EMPLOYMENT AND SALARY STATISTICS AT TOP B-SCHOOLS IN THE US! (2018)
MBA Financing:- INDIAN PUBLIC BANKS vs PRODIGY FINANCE!

Getting into HOLLYWOOD with an MBA!
The MOST AFFORDABLE MBA programs!
STONECOLD's BRUTAL Mock Tests for GMAT-Quant(700+)
AVERAGE GRE Scores At The Top Business Schools!
Signature Read More
User avatar
S
kanusha
Manager
Manager
Joined: 25 Mar 2013
Posts: 175
Location: United States
Concentration: Entrepreneurship, Marketing
Schools: Yale '17 HBS '17 Stanford '17
GPA: 3.5
GMAT ToolKit User Reviews Badge
Re: The average (arithmetic mean) of 4 positive integers is 50. [#permalink] New post  30 Jan 2017, 16:31
Bunuel wrote:
iyersu wrote:
The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?

A. 55
B. 65
C. 100
D. 109
E. 115


The sum of 4 integers is 4*50 = 200.
The sum of 2 integers is 2*45 = 90.

Thus, the sum of the other 2 integers is 200 - 90 = 110. Since we know that the integers are positive then the greatest one from these two can be 109, the other one being 1.

Answer: D.

Hope it's clear.


Sorry I do not understand why sum of two remaining integers = 110 becomes 109?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 88619
CAT Tests Forum Quiz Mode Top Member of the Month
Re: The average (arithmetic mean) of 4 positive integers is 50. [#permalink] New post  31 Jan 2017, 10:55
Expert Reply
kanusha wrote:
Bunuel wrote:
iyersu wrote:
The average (arithmetic mean) of 4 positive integers is 50. If the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?

A. 55
B. 65
C. 100
D. 109
E. 115


The sum of 4 integers is 4*50 = 200.
The sum of 2 integers is 2*45 = 90.

Thus, the sum of the other 2 integers is 200 - 90 = 110. Since we know that the integers are positive then the greatest one from these two can be 109, the other one being 1.

Answer: D.

Hope it's clear.


Sorry I do not understand why sum of two remaining integers = 110 becomes 109?


x + y = 110, where both x and y are positive integers. The max value of say x there is 109, when y = 1.
_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 27907
Re: The average (arithmetic mean) of 4 positive integers is 50. [#permalink] New post  14 Jul 2021, 09:22
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: The average (arithmetic mean) of 4 positive integers is 50. [#permalink]
14 Jul 2021, 09:22
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
88618 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3152 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions