GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 05 Jul 2020, 19:23

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

In a certain game, a player can accumulate points only by scoring eith

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 64951
In a certain game, a player can accumulate points only by scoring eith  [#permalink]

Show Tags

New post 22 May 2020, 10:27
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

49% (01:41) correct 51% (01:44) wrong based on 57 sessions

HideShow timer Statistics

In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have?

A. Four
B. Five
C. Six
D. Seven
E. Eight


PS20410

_________________
DS Forum Moderator
User avatar
V
Joined: 19 Oct 2018
Posts: 1980
Location: India
Premium Member
Re: In a certain game, a player can accumulate points only by scoring eith  [#permalink]

Show Tags

New post 22 May 2020, 11:07
3x+2y=24

3x = 24 - 2y = 2(12-y)

Since 3x is a multiple of 3, '12-y' or 'y' must be a multiple of 3.

y can take 5 values (0, 3, 6, 9 , 12) and so does x.

B




Bunuel wrote:
In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have?

A. Four
B. Five
C. Six
D. Seven
E. Eight


PS20410
Intern
Intern
avatar
B
Joined: 07 Apr 2020
Posts: 44
Re: In a certain game, a player can accumulate points only by scoring eith  [#permalink]

Show Tags

New post 22 May 2020, 11:34
Bunuel wrote:
In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have?

A. Four
B. Five
C. Six
D. Seven
E. Eight


PS20410

Let y be the number of Y score i.e., 2 point
    3t + 2y = 28
    3t = 28 – 2y
      28- 2y is an even number.
      3t must be an even number.
      t must be an even number such that 3t ≤ 28
    t can be 0, 2, 4, 6, and 8
      There are 5 different possible values of t.
Answer: Option B.
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 6424
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Reviews Badge CAT Tests
Re: In a certain game, a player can accumulate points only by scoring eith  [#permalink]

Show Tags

New post 22 May 2020, 19:16
Bunuel wrote:
In a certain game, a player can accumulate points only by scoring either an X, which counts 3 points, or a Y, which counts 2 points. If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have?

A. Four
B. Five
C. Six
D. Seven
E. Eight


PS20410


given
3x+2y =24
x = 24-2y/3
x= 2 * ( 12-y)/3
so x can be 0 with y = 12
and value of y =0, 3,6,9,
total 5 values OPTION B
IESE School Moderator
avatar
S
Joined: 11 Feb 2019
Posts: 271
CAT Tests
Re: In a certain game, a player can accumulate points only by scoring eith  [#permalink]

Show Tags

New post 23 May 2020, 16:35
1
Say 3x: points by X
2y: Points by Y

3x + 2y =24

x = (24-2y)/3
for x to be integer: y can take values: 12, 9, 6, 3, 0

x can take 5 values.

x = 2(12-y)/3

only values for x: 0,
_________________

Cheers,
NJ
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3410
Re: In a certain game, a player can accumulate points only by scoring eith  [#permalink]

Show Tags

New post 30 May 2020, 21:35

Solution



Given
In this question, we are given that
    • In a certain game,
      o A player can accumulate points only by scoring either an X, which counts 3 points, or
      o A Y, which counts 2 points


To find
We need to determine
    • If a player scored 24 points in the game and t points were made by scoring X's, how many different values could t have

Approach and Working out
    • Total points should be of the form 3X + 2Y
    • Thus, 3X + 2Y = 24, where X and Y must be ≥ 0
    • Possibilities are (X, Y) = (0, 12) or (2, 9) or (4, 6) or (6, 3) or (8, 0)

Thus, option B is the correct answer.

Correct Answer: Option B
_________________
GMAT Club Bot
Re: In a certain game, a player can accumulate points only by scoring eith   [#permalink] 30 May 2020, 21:35

In a certain game, a player can accumulate points only by scoring eith

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





cron

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