Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44400

In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
16 Jun 2016, 04:25
Question Stats:
62% (01:26) correct 38% (01:40) wrong based on 679 sessions
HideShow timer Statistics



Retired Moderator
Status: On a mountain of skulls, in the castle of pain, I sit on a throne of blood.
Joined: 30 Jul 2013
Posts: 358

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
16 Jun 2016, 04:44
1
This post received KUDOS
2
This post was BOOKMARKED
Bunuel wrote: In each game of a certain tournament, a contestant either loses 3 points or gains 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 Both statements by themselves are clearly insufficient. Taking both the statements together: We have an addition of 4 points. So we need minimum of 2 games which add 2 points each. Further any 3 point loss making games have to be cancelled out by the 2 point gain games. We need 3 games gaining 2 points each to cancel out 2 games losing 3 points each. 3+2=5 games. We need these 5 games to cancel out. So we need 5x+2 games to get 104 points, where x>=0 and x represents the number of times the 3 gain making and the 2 loss making games (that cancel out each other) have to be played. The only number of games satisfying the above equation which is less than 10 games is 2 (when x=0) and 7 (when x=1). Since we have no single number of games we end up with E. Answer: E



Manager
Joined: 22 Jan 2014
Posts: 141
WE: Project Management (Computer Hardware)

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
16 Jun 2016, 05:24
2
This post received KUDOS
3
This post was BOOKMARKED
Bunuel wrote: In each game of a certain tournament, a contestant either loses 3 points or gains 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 1) he gained 4 points => 2x  3y = 4 multiple solutions  (x,y) = (2,0) ; (5,2) ; .... insufficient 2) he played fewer than 10 games insufficient (1)+(2): he gained 4 points in fewer than 10 games that he played multiple solutions  (x,y) = (2,0) ; (5,2) ; .... insufficient E.
_________________
Illegitimi non carborundum.



Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 561
Location: Bangladesh
Concentration: Finance, Leadership
GPA: 2.81
WE: Business Development (Real Estate)

In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
16 Jun 2016, 06:19
Bunuel wrote: In each game of a certain tournament, a contestant either loses 3 points or gains 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 (1) No information about loosing or gaining of first 100 games, Insufficient(2) No information about loosing or gaining any game, Insuffifient(1)+(2) together didn't solve the issue raised above. Correct Answer E
_________________
Md. Abdur Rakib
Please Press +1 Kudos,If it helps Sentence CorrectionCollection of Ron Purewal's "elliptical construction/analogies" for SC Challenges



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2155

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
06 Dec 2016, 18:23
2
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
Bunuel wrote: In each game of a certain tournament, a contestant either loses 3 points or gains 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 We are given that in each game of a certain tournament, a contestant either loses 3 points or gains 2 points. We can let the number of 2point gains = x and the number of 3point losses = y. We are also given that Pat started with 100 points at the beginning of the tournament. Thus, we can express his final score as F = 100 + 2x  3y. We need to determine how many games Pat played in the tournament, or x + y. Statement One Alone:At the end of the tournament, Pat had 104 points. Using the information from statement one, we can substitute 104 for F: 104 = 100 + 2x  3y 4 = 2x  3y We do not know the value of either x or y. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D. Statement Two Alone:Pat played fewer than 10 games. Using the information in statement two, we know that x + y < 10; however, that is not enough information to determine a value of x + y. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B. Statements One and Two Together:From statements one and two, we know that 2x  3y = 4 and that x + y < 10; however, that is not enough information to determine a value of x + y. For instance, x = 2 and y = 0, or x = 5 and y = 2, both of which satisfy 2x  3y = 4 and x + y < 10. Answer: E
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Intern
Joined: 19 Nov 2016
Posts: 16

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
18 Jan 2017, 13:11
1
This post received KUDOS
My approach without solving any equation:
Statement 1: he ends up with 104 points . That means he might have won 2 times so he got +2 and +2 ,or might have lost 2 time 3 and 3 and then won 5 times (gained +2 each time ). One way or another we are not sure about the number of the games he played.> INSUFF
Statement 2: If Pat played games<10 he might have played 9 , 8 ,7 ,6,5,4 .... we are not sure > INSUFF
Combining 1 and 2 we know he had 104 points at the end and less than 10 games, AGAIN he might have played a different number of games each time in order to gather 104 points, he might have lost at the beginning and won the rest or vice versa. > INSUFF
so answer E



Intern
Joined: 22 Jun 2016
Posts: 3

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
05 Feb 2017, 07:46
Hi All Thanks for all your very good answers. It took me a while to answer this question. In the end I got it right but I was unsure if I had the right methodology. Overall I used the same thinking which consists in using test cases. However I'm wondering whether there is a faster solution which would consist in recognizing a pattern: Can't we just generalize and say that if we have a combination of 1 equation and 1 inequalities with two unknown, therefore it remains insufficient to solve for the 2 unknown ? Using that pattern for other DS questions would help solving other DS questions tremendously faster... the OG DS problem #282 ( OG 2017) used similar reasoning and ended up with E as OA. Thanks in advance for your feedback on this one.



SVP
Joined: 12 Sep 2015
Posts: 2156
Location: Canada

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
03 Aug 2017, 15:23
Bunuel wrote: In each game of a certain tournament, a contestant either loses 3 points or gains 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 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 gamesCase 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 gamesSince we cannot answer the target question with certainty, the combined statements are NOT Answer: Cheers, Brent
_________________
Brent Hanneson – Founder of gmatprepnow.com



Intern
Joined: 21 Oct 2017
Posts: 2

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
05 Nov 2017, 10:40
YanisBoubenider thefibonacci I still don't get why C is not an option. if we know that final amount of points is 104, and he played less than 10 games, then the only possible amount of games played is 5. That is, lost 2 (1046=98) and won 3 (98+6=104). He couldn't lose 3 because it would result in the odd number of loses neither he could lose 4 because he would have to win 6 and that equals 10 which contradicts with the 2nd statement.



Manager
Joined: 10 Dec 2011
Posts: 106
Location: India
Concentration: Finance, Economics
GMAT Date: 09282012
WE: Accounting (Manufacturing)

Re: In each game of a certain tournament, a contestant either loses 3 poin [#permalink]
Show Tags
11 Nov 2017, 08:05
1
This post received KUDOS
I. 104100 = 4 Min games = 2. But, 4 can also be obtained by scoring 2+2+2+2+233 = 4. (Games = 7) II. Games less than 10. 4 or 7 as in 1. Both Insufficient. Ans=E




Re: In each game of a certain tournament, a contestant either loses 3 poin
[#permalink]
11 Nov 2017, 08:05






