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

It is currently 20 Jul 2018, 11:42

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

Going in to the last game of his basketball season, Adrian had average

  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: 47157
Going in to the last game of his basketball season, Adrian had average  [#permalink]

Show Tags

New post 07 Jul 2018, 09:51
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:27) correct 27% (00:40) wrong based on 22 sessions

HideShow timer Statistics

Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12
B. 13
C. 14
D. 15
E. 16

_________________

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

Intern
Intern
avatar
B
Joined: 10 Oct 2017
Posts: 2
Going in to the last game of his basketball season, Adrian had average  [#permalink]

Show Tags

New post 07 Jul 2018, 10:35
Bunuel wrote:
Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12
B. 13
C. 14
D. 15
E. 16


Sum of games played before last game = S
Number of games played before final game= n
S/n = 24 or S=24n

After going to his last game we have
(S+50)/(n+1)=26
Substituting S=24n we get
24n+50=26n+26
2n=24
n=12
Since we denoted "n" as the number of games before final game his total number of games played for the whole season would be - n+1=12+1=13.
Answer B.
Senior Manager
Senior Manager
User avatar
G
Status: Asst. Manager
Joined: 01 Oct 2017
Posts: 281
Location: India
Concentration: Operations, Entrepreneurship
GPA: 4
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: Going in to the last game of his basketball season, Adrian had average  [#permalink]

Show Tags

New post 07 Jul 2018, 10:50
Bunuel wrote:
Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12
B. 13
C. 14
D. 15
E. 16


Let the no of games played by Adrian be x before the last game.

Given Adrian had averaged 24 points per game.
So, the total points earned=24x
New average=26 when he played the last game
Total points scored=24x+50
So, \(\frac{24x+50}{x+1}=26\)
Or, 24x+50=26x+26
Or, 2x=24
Or, x=12
Total no of games played= no of games played by Adrian be x [u]before the last game+1=x+1=12+1=13
Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find sunshine

Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6258
Re: Going in to the last game of his basketball season, Adrian had average  [#permalink]

Show Tags

New post 07 Jul 2018, 10:57
Bunuel wrote:
Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12
B. 13
C. 14
D. 15
E. 16



Let there be x matches

three ways

1) logical....
Increase in avg of 2 for x games means 2x points
50 points are 24 points more than the new average..
so 2x=24.....x=12
and the 13th is the one in which 50 points were scored
ans 13

2) Algebraic

24 avg for x games .. total points = 24x
new total = 24x+50
new number of games = x+1
avg = \(\frac{24x+50}{x+1}=26................24x+50=26x+26..................2x=24........x=12\)
so games = 12+1=13

3) weighted average method

x games worth 24 and 1 game worth 50
average 26
so \(\frac{x}{1}=\frac{(50-26)}{(26-24)}\frac{24}{2}=12\)
so x+1=12+1=13

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3653
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: Going in to the last game of his basketball season, Adrian had average  [#permalink]

Show Tags

New post 07 Jul 2018, 11:08
Bunuel wrote:
Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season?

A. 12
B. 13
C. 14
D. 15
E. 16


\(24G + 50 = (G +1)26\)

Or, \(24G + 50 = 26G + 26\)

Or, \(2G = 24\)

Or, \(G = 12\)

So, Total Number of games played that season is 12 + 1 = 13 games,Answer must be (B)
_________________

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 )

Senior Manager
Senior Manager
User avatar
G
Joined: 14 Dec 2017
Posts: 387
Re: Going in to the last game of his basketball season, Adrian had average  [#permalink]

Show Tags

New post 07 Jul 2018, 12:31
Increase in average by 2 points from 24 to 26 points. Hence a 2 point increase above average in every game.

The last game contributed (50 - 24) = 26 points to increase the average to 26.

Hence total # of games played = 26/2 = 13

Answer B.



Thanks,
GyM
Re: Going in to the last game of his basketball season, Adrian had average &nbs [#permalink] 07 Jul 2018, 12:31
Display posts from previous: Sort by

Going in to the last game of his basketball season, Adrian had average

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

Events & Promotions

PREV
NEXT


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®.