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22 Jun 2021, 10:43
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Data Sufficiency Math Strategy -
After winning 50% of the first 20 games it played, Team A won all the remaining games it played. What was the total number of games Team A won?
FS1: Team A played 25 games altogether.
FS2: Team A won 60% of all the games it played.
FS1 - Fact Statement 1, FS2 - Fact Statement 2.
Answer Choices -
A-FS1 alone is sufficient, FS2 alone is not sufficient
B-FS1 alone is not sufficient, FS2 alone is sufficient
C-FS1 alone is not sufficient, FS2 alone is not sufficient, But
FS1 & FS2 together are sufficient
D-FS1 alone is sufficient, FS2 alone is also sufficient
E- FS1 alone not sufficient. FS2 alone not sufficient. FS1 &
FS2 together are also not sufficient
Solution:
1) What do I need to find out?
A- Total no of games won by team A
2) What do I know?
A- Let the total no of games be x
Therefore… 10 + (x - 20) = Games won by A
3) What else do I need to know?
A Total no of games (x)
FS1 – Total no of games is equal to 25 = x Since we have the total no of
games. Data is sufficient and we can knock off answer options B, C & E
Now we proceed with the next step -
FS2 – A won 60% of its total games
That implies 60% of x = 10 + (x - 20)
6x = 100 + 10x - 200
- 4x = - 100
x = 25
Now since we have the value of x, we can arrive at a single definite answer using
either of the 2 fact statements. Therefore we can eliminate answer option A as
well and D is the correct answer option.
After winning 50% of the first 20 games it played, Team A won all the remaining games it played. What was the total number of games Team A won?
FS1: Team A played 25 games altogether.
FS2: Team A won 60% of all the games it played.
FS1 - Fact Statement 1, FS2 - Fact Statement 2.
Answer Choices -
A-FS1 alone is sufficient, FS2 alone is not sufficient
B-FS1 alone is not sufficient, FS2 alone is sufficient
C-FS1 alone is not sufficient, FS2 alone is not sufficient, But
FS1 & FS2 together are sufficient
D-FS1 alone is sufficient, FS2 alone is also sufficient
E- FS1 alone not sufficient. FS2 alone not sufficient. FS1 &
FS2 together are also not sufficient
Solution:
1) What do I need to find out?
A- Total no of games won by team A
2) What do I know?
A- Let the total no of games be x
Therefore… 10 + (x - 20) = Games won by A
3) What else do I need to know?
A Total no of games (x)
FS1 – Total no of games is equal to 25 = x Since we have the total no of
games. Data is sufficient and we can knock off answer options B, C & E
Now we proceed with the next step -
FS2 – A won 60% of its total games
That implies 60% of x = 10 + (x - 20)
6x = 100 + 10x - 200
- 4x = - 100
x = 25
Now since we have the value of x, we can arrive at a single definite answer using
either of the 2 fact statements. Therefore we can eliminate answer option A as
well and D is the correct answer option.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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22 Jun 2021, 11:06
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Discussed here: after-winning-50-percent-of-the-first-20-games-it-played-team-a-won-167045.html
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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