• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## In each game of a certain tournament, a contestant either tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## In each game of a certain tournament, a contestant either ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Official Guide In each game of a certain tournament, a contestant either loses 3 points or gain 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament? (1) At the end of the tournament, Pat had 104 points. (2) Pat played fewer than 10 games. The OA is E. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12563 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 AAPL wrote: Source: Official Guide In each game of a certain tournament, a contestant either loses 3 points or gain 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament? (1) At the end of the tournament, Pat had 104 points. (2) Pat played fewer than 10 games. The OA is E. Target question: How many games did Pat play in the tournament? Jump straight to... Statements 1 and 2 combined There are several CONFLICTING situations that that satisfy BOTH statement 2. Here are two: Case a: Pat plays 2 games and wins both of them to add 4 points to the 100 points she started with. In this case, Pat plays 2 games Case b: Pat plays 7 games and wins 5 of them and loses 2 to add 4 points to the 100 points she started with. In this case, Pat plays 7 games Since we cannot answer the target question with certainty, the combined statements are NOT Answer: E Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15029 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 AAPL wrote: Source: Official Guide In each game of a certain tournament, a contestant either loses 3 points or gain 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament? (1) At the end of the tournament, Pat had 104 points. (2) Pat played fewer than 10 games. Here is an algebraic way to combine the two statements: Let G = a game that results in a 2-point gain and L = a game that results in a 3-point loss. Statement 1: Since the played games yield a total of 4 points beyond the intital 100 points, we get: 2G - 3L = 4 2G = 4 + 3L Note: Since the expression in blue is equal to an even integer -- 2G -- L must be EVEN. Statement 2: Since fewer than 10 games are played, we get: G+L < 10 G < 10 - L 2G < 20 - 2L Substituting 2G = 4+3L into 2G < 20-2L, we get: 4 + 3L < 20 - 2L 5L < 16 L < 3.2 Implication: L must an even nonnegative integer less than 3, with the result that L=0 or L=2. If we substitute L=0 into 2G = 4+3L, we get: 2G = 4 G = 2. In this case, L+G = 0+2 = 2, implying that the number of games = 2. If we substitute L=2 into 2G = 4+3L, we get: 2G = 4 + (3*2) 2G = 10 G=5. In this case, L+G = 2+5 = 7, implying that the number of games = 7. Since the number of games can be different values, the two statements combined are INSUFFICIENT. The correct answer is E. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for \$0

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

### Top First Responders*

1 Jay@ManhattanReview 67 first replies
2 Brent@GMATPrepNow 53 first replies
3 fskilnik@GMATH 49 first replies
4 GMATGuruNY 32 first replies
5 Rich.C@EMPOWERgma... 29 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 fskilnik@GMATH

GMATH Teacher

107 posts
2 Brent@GMATPrepNow

GMAT Prep Now Teacher

99 posts
3 Max@Math Revolution

Math Revolution

90 posts
4 Jay@ManhattanReview

Manhattan Review

78 posts
5 GMATGuruNY

The Princeton Review Teacher

77 posts
See More Top Beat The GMAT Experts