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What was the final score in a game between Team X and Team Y?

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What was the final score in a game between Team X and Team Y? [#permalink]

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New post 29 Sep 2015, 21:26
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E

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What was the final score in a game between Team X and Team Y?

(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Re: What was the final score in a game between Team X and Team Y? [#permalink]

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New post 30 Sep 2015, 10:34
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Bunuel wrote:
What was the final score in a game between Team X and Team Y?

(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.

Kudos for a correct solution.


(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
=> X's score = 2X + 14. A = X's score of the first half of the game
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.
=> Y's score = X's score + 4
(1) + (2) => Cannot know the final score between X and Y
=> Ans: E

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Re: What was the final score in a game between Team X and Team Y? [#permalink]

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New post 05 Oct 2015, 03:21
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Bunuel wrote:
What was the final score in a game between Team X and Team Y?

(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value? This question asks for the final score of a game between two teams, X and Y.

Given information from the question stem: This question is seeking a specific value for the final score in game between team X and team Y.

Statement 1: This statement tells you that the first-half score for X + 14 = the Second Half Score for X. This statement is clearly not sufficient as it does not give
you a score for either team X or Team Y. Eliminate choices A and D.

Statement 2: This statement tells you that during the first half the two teams scored equal points but that during the second half team y scored 4 more points. This statement also does not give you any fixed value for the score of X or of Y. Also not sufficient: Eliminate choice B.

Together: Even taken together these two statements do not yield enough information. Neither statement gives you an actual number. Playing Devil’s Advocate, you could simply choose 10 as the number of points each team scored in the first half. Then add 14 points to X’s first-half score to get the second-half score according to Statement 1, so x would score 10+24 = 34 points. Y scored 4 more than X (Statement 2) so that would mean 38 points for Y. But there is no reason why “10” should be the first-half score any more than “20” or “100.” This question allows for an infinite variety of final scores. The information is not sufficient.

The answer is E.
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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.


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What was the final score in a game between Team X and Team Y? [#permalink]

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New post 29 Oct 2017, 07:15
Bunuel wrote:
Bunuel wrote:
What was the final score in a game between Team X and Team Y?

(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value? This question asks for the final score of a game between two teams, X and Y.

Given information from the question stem: This question is seeking a specific value for the final score in game between team X and team Y.

Statement 1: This statement tells you that the first-half score for X + 14 = the Second Half Score for X. This statement is clearly not sufficient as it does not give
you a score for either team X or Team Y. Eliminate choices A and D.

Statement 2: This statement tells you that during the first half the two teams scored equal points but that during the second half team y scored 4 more points. This statement also does not give you any fixed value for the score of X or of Y. Also not sufficient: Eliminate choice B.

Together: Even taken together these two statements do not yield enough information. Neither statement gives you an actual number. Playing Devil’s Advocate, you could simply choose 10 as the number of points each team scored in the first half. Then add 14 points to X’s first-half score to get the second-half score according to Statement 1, so x would score 10+24 = 34 points. Y scored 4 more than X (Statement 2) so that would mean 38 points for Y. But there is no reason why “10” should be the first-half score any more than “20” or “100.” This question allows for an infinite variety of final scores. The information is not sufficient.

The answer is E.



I came up with the answer C

1) lets take two half of x scores as X1 & X2

X2 = X1+14

Not Sufficient

2) scores are tied at the end of first half

X1 = Y1

Team Y scored 4 points more than X

Y1 + Y2 = X1 + X2 + 4

this is also not sufficient. But if you combine both

Y1 + Y2 = Y1 + Y1 + 14 + 4

Y1 + Y2 = 18

Final Score of Y is 18.

Sufficient///////

Please correct me if am wrong

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Re: What was the final score in a game between Team X and Team Y? [#permalink]

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New post 29 Oct 2017, 07:22
krrishwins wrote:
Bunuel wrote:
Bunuel wrote:
What was the final score in a game between Team X and Team Y?

(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value? This question asks for the final score of a game between two teams, X and Y.

Given information from the question stem: This question is seeking a specific value for the final score in game between team X and team Y.

Statement 1: This statement tells you that the first-half score for X + 14 = the Second Half Score for X. This statement is clearly not sufficient as it does not give
you a score for either team X or Team Y. Eliminate choices A and D.

Statement 2: This statement tells you that during the first half the two teams scored equal points but that during the second half team y scored 4 more points. This statement also does not give you any fixed value for the score of X or of Y. Also not sufficient: Eliminate choice B.

Together: Even taken together these two statements do not yield enough information. Neither statement gives you an actual number. Playing Devil’s Advocate, you could simply choose 10 as the number of points each team scored in the first half. Then add 14 points to X’s first-half score to get the second-half score according to Statement 1, so x would score 10+24 = 34 points. Y scored 4 more than X (Statement 2) so that would mean 38 points for Y. But there is no reason why “10” should be the first-half score any more than “20” or “100.” This question allows for an infinite variety of final scores. The information is not sufficient.

The answer is E.



I came up with the answer C

1) lets take two half of x scores as X1 & X2

X2 = X1+14

Not Sufficient

2) scores are tied at the end of first half

X1 = Y1

Team Y scored 4 points more than X

Y1 + Y2 = X1 + X2 + 4

this is also not sufficient. But if you combine both

Y1 + Y2 = Y1 + Y1 + 14 + 4

Y1 + Y2 = 18


Final Score of Y is 18.

Sufficient///////

Please correct me if am wrong


you are wrong in coloured portion..

Y1 + Y2 = Y1 + Y1 + 14 + 4 means Y2=2*Y1+18-Y1....Y2=Y1+18...
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Re: What was the final score in a game between Team X and Team Y? [#permalink]

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New post 29 Oct 2017, 07:26
krrishwins wrote:
Bunuel wrote:
Bunuel wrote:
What was the final score in a game between Team X and Team Y?

(1) Team X scored 14 more points during the second half of the game than it scored during the first half.
(2) At the end of the first half of the game, the score was tied, but team Y won the game by 4 points.

Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION:

Question Type: What Is the Value? This question asks for the final score of a game between two teams, X and Y.

Given information from the question stem: This question is seeking a specific value for the final score in game between team X and team Y.

Statement 1: This statement tells you that the first-half score for X + 14 = the Second Half Score for X. This statement is clearly not sufficient as it does not give
you a score for either team X or Team Y. Eliminate choices A and D.

Statement 2: This statement tells you that during the first half the two teams scored equal points but that during the second half team y scored 4 more points. This statement also does not give you any fixed value for the score of X or of Y. Also not sufficient: Eliminate choice B.

Together: Even taken together these two statements do not yield enough information. Neither statement gives you an actual number. Playing Devil’s Advocate, you could simply choose 10 as the number of points each team scored in the first half. Then add 14 points to X’s first-half score to get the second-half score according to Statement 1, so x would score 10+24 = 34 points. Y scored 4 more than X (Statement 2) so that would mean 38 points for Y. But there is no reason why “10” should be the first-half score any more than “20” or “100.” This question allows for an infinite variety of final scores. The information is not sufficient.

The answer is E.



I came up with the answer C

1) lets take two half of x scores as X1 & X2

X2 = X1+14

Not Sufficient

2) scores are tied at the end of first half

X1 = Y1

Team Y scored 4 points more than X

Y1 + Y2 = X1 + X2 + 4

this is also not sufficient. But if you combine both

Y1 + Y2 = Y1 + Y1 + 14 + 4

Y1 + Y2 = 18

Final Score of Y is 18.

Sufficient///////

Please correct me if am wrong


Yes, you are wrong.

---- First half --- Second half --- Final
X ---- 10 ------------ 24 ------------- 34

Y ---- 10 ------------ 28 ------------- 38

---- First half --- Second half --- Final
X ---- 20 ------------ 34 ------------- 54

Y ---- 20 ------------ 38 ------------- 58

The final score in the first case is 34:38, while in the second case is 54:58.
_________________

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

Kudos [?]: 132707 [0], given: 12335

Re: What was the final score in a game between Team X and Team Y?   [#permalink] 29 Oct 2017, 07:26
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