GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Oct 2018, 09:18

Fuqua EA Calls in Progress:

Join us in the chat | track the decision tracker | See forum posts/summary


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

The average of 8 numbers is A, and one of the numbers is 14. If 14 is

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50002
The average of 8 numbers is A, and one of the numbers is 14. If 14 is  [#permalink]

Show Tags

New post 20 May 2017, 06:19
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

100% (01:08) correct 0% (00:00) wrong based on 25 sessions

HideShow timer Statistics

The average of 8 numbers is A, and one of the numbers is 14. If 14 is replaced with 28, then what is the new average in terms of A ?

(A) A + 7/4

(B) A + 1/2

(C) A + 2

(D) 2A + 1

(E) A + 4

_________________

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

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: The average of 8 numbers is A, and one of the numbers is 14. If 14 is  [#permalink]

Show Tags

New post 20 May 2017, 07:07
Average = Sum/n, where n= number of terms

Here A= Sum/8 or Sum = 8*A

When a number is changed from 14 to 28, overall there is an increase of (28-14) = 14 in the sum
So, new Sum = 8A + 14
New Average = (8A + 14)/8 = 8A/8 + 14/8 = A + 7/4

Hence answer is A
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3187
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: The average of 8 numbers is A, and one of the numbers is 14. If 14 is  [#permalink]

Show Tags

New post 20 May 2017, 07:35
Lets assume value of A to be 10
So the total of the 8 numbers is 80.
Since, one of the numbers that was 14 increases to 28, we will have a net addition of 14.
The total of these 8 numbers will become 94. The average : 94/8(47/4) or 10 + 7/4 (Option A)
_________________

You've got what it takes, but it will take everything you've got

Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 701
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
The average of 8 numbers is A, and one of the numbers is 14. If 14 is  [#permalink]

Show Tags

New post 20 May 2017, 13:15
The average of 8 numbers is A, and one of the numbers is 14. If 14 is replaced with 28, then what is the new average in terms of A ?
(A) A + 7/4
(B) A + 1/2
(C) A + 2
(D) 2A + 1
(E) A + 4

Let numbers be 1,1,1,1,1,1,1,14. (Hence One number is 14, we can put all other numbers as 1)

Average (A) = \(\frac{1+1+1+1+1+1+1+14}{8}\) = \(\frac{7+ 14}{8}\) = \(\frac{21}{8}\)

14 is replaced with 28; Therefore the numbers would be => 1,1,1,1,1,1,1,28

New Average = \(\frac{1+1+1+1+1+1+1+28}{8}\) = \(\frac{7+ 28}{8}\) = \(\frac{35}{8}\)

New Average is greater than old Average by = \(\frac{35}{8}\) - \(\frac{21}{8}\) = \(\frac{14}{8}\) = \(\frac{7}{4}\)

Therefore New Average in terms of A = A + \(\frac{7}{4}\)
Answer A...

_________________
Kindly press "+1 Kudos" to appreciate :)
GMAT Club Bot
The average of 8 numbers is A, and one of the numbers is 14. If 14 is &nbs [#permalink] 20 May 2017, 13:15
Display posts from previous: Sort by

The average of 8 numbers is A, and one of the numbers is 14. If 14 is

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


cron
Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.