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27 Feb 2014, 06:59
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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90% (00:59) correct
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The Official Guide For GMAT® Quantitative Review, 2ND Edition
If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n+1 games?
(A) \(\frac{(nx + y)}{(n + 1)}\)
(B) \(x + \frac{y}{(n + 1)}\)
(C) \(x + \frac{y}{n}\)
(D) \(\frac{n(x + y)}{(n + 1)}\)
(E) \(\frac{(x + ny)}{(n + 1)}\)
If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n+1 games?
(A) \(\frac{(nx + y)}{(n + 1)}\)
(B) \(x + \frac{y}{(n + 1)}\)
(C) \(x + \frac{y}{n}\)
(D) \(\frac{n(x + y)}{(n + 1)}\)
(E) \(\frac{(x + ny)}{(n + 1)}\)
Problem Solving
Question: 116
Category: Arithmetic Statistics
Page: 76
Difficulty: 550
Question: 116
Category: Arithmetic Statistics
Page: 76
Difficulty: 550
GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project
Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.
We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.
Thank you!
Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.
We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.
Thank you!
27 Feb 2014, 06:59
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Bookmarks
SOLUTION
If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n+1 games?
(A) \(\frac{(nx + y)}{(n + 1)}\)
(B) \(x + \frac{y}{(n + 1)}\)
(C) \(x + \frac{y}{n}\)
(D) \(\frac{n(x + y)}{(n + 1)}\)
(E) \(\frac{(x + ny)}{(n + 1)}\)
Total points for n games = (number of games)*(average number of points) = nx;
Total points for n + 1 games = nx + y;
The average number of points for n +1 games = \(\frac{(total \ points \ for \ n + 1 \ games)}{(number \ of \ games)}= \frac{(nx + y)}{(n + 1)}\).
Answer: A.
If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n+1 games?
(A) \(\frac{(nx + y)}{(n + 1)}\)
(B) \(x + \frac{y}{(n + 1)}\)
(C) \(x + \frac{y}{n}\)
(D) \(\frac{n(x + y)}{(n + 1)}\)
(E) \(\frac{(x + ny)}{(n + 1)}\)
Total points for n games = (number of games)*(average number of points) = nx;
Total points for n + 1 games = nx + y;
The average number of points for n +1 games = \(\frac{(total \ points \ for \ n + 1 \ games)}{(number \ of \ games)}= \frac{(nx + y)}{(n + 1)}\).
Answer: A.
General Discussion
27 Feb 2014, 07:11
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For me is A If you considered X points to n games so you mean will be (X*N)/N and you play another game and score Y points, going in that way will be X*N+Y/N+1 so A it is
