GMAT Changed on April 16th - Read about the latest changes here

It is currently 25 Apr 2018, 07:27

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The average (arithmetic mean) of five consecutive numbers is 48. What

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44655
The average (arithmetic mean) of five consecutive numbers is 48. What [#permalink]

Show Tags

New post 26 Dec 2017, 00:17
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (00:32) correct 23% (01:09) wrong based on 30 sessions

HideShow timer Statistics

The average (arithmetic mean) of five consecutive numbers is 48. What is the average of the three smallest of these numbers?

A. 45
B. 45.5
C. 46
D. 46.5
E. 47
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Expert Post
examPAL Representative
User avatar
B
Joined: 07 Dec 2017
Posts: 305
Re: The average (arithmetic mean) of five consecutive numbers is 48. What [#permalink]

Show Tags

New post 26 Dec 2017, 01:28
Bunuel wrote:
The average (arithmetic mean) of five consecutive numbers is 48. What is the average of the three smallest of these numbers?

A. 45
B. 45.5
C. 46
D. 46.5
E. 47


Anytime we're give a question involving consecutive integers, we'll look for a solution involving number properties.
This is a Logical approach.

In any sequence containing an odd number of consecutive integers, the average equals the middle number.
Therefore our middle number is 48 so our sequence is 46,47,48,49,50.
Then the average of the 3 smallest numbers is 47 - option (E).
_________________

David
Senior tutor at examPAL
Signup for a free GMAT course
Image
Image
We won some awards:
Image
Join our next webinar (free)
Save up to $250 on examPAL packages (special for GMAT Club members)

Manager
Manager
avatar
B
Joined: 24 Nov 2016
Posts: 148
Re: The average (arithmetic mean) of five consecutive numbers is 48. What [#permalink]

Show Tags

New post 27 Dec 2017, 04:30
Bunuel wrote:
The average (arithmetic mean) of five consecutive numbers is 48. What is the average of the three smallest of these numbers?

A. 45
B. 45.5
C. 46
D. 46.5
E. 47


\(Average=\frac{Sum}{Quantity}\), so \(48=\frac{Sum}{5}\), \(Sum=240\).

\(Sum=(x)+(x+1)+(x+2)+(x+3)+(x+4)=5x+10=240\), so \(x=230/5=46\).

\(Sum.Lowest=(x)+(x+1)+(x+2)=3x+3=3(46)+3=141\)

\(Average.Lowest=\frac{141}{3}=47\)

(E) is the answer.
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3400
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: The average (arithmetic mean) of five consecutive numbers is 48. What [#permalink]

Show Tags

New post 27 Dec 2017, 11:21
Bunuel wrote:
The average (arithmetic mean) of five consecutive numbers is 48. What is the average of the three smallest of these numbers?

A. 45
B. 45.5
C. 46
D. 46.5
E. 47
\(n + (n+1) + (n+2) + (n+3) + (n+4) = 240\)

Or, \(5n + 10 = 240\)

So, \(5n = 230\)

Or, \(n = 46\)

Thus, average of the three smallest of these numbers is \(\frac{46 + 47 + 48}{3} = 47\)

Answer will be (E) 47
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Re: The average (arithmetic mean) of five consecutive numbers is 48. What   [#permalink] 27 Dec 2017, 11:21
Display posts from previous: Sort by

The average (arithmetic mean) of five consecutive numbers is 48. What

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.