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805+ Level|   Math Related|   Tables|      
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Bismuth83
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The table above lists the Top 20 basketball players in terms of points 27 Feb 2025, 21:43
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The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list.: Yes Of the players on the list, more played in the 1990s than played in the 1970s.: Yes More than 20% of players on the list only played in one decade.: No
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95% (hard)

Question Stats:

41% (03:45) correct 59% (03:30) wrong based on 246 sessions

History

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Time
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NameCareer BeganCareer EndedTotal Points Scored
Coietta1982199512277
Cruz1977198711048
Dorsey1977199113388
Gordon198819969897
Gujral1984199311001
Hubbard1981198910260
Hughes1977198811145
Jackson1978199114867
Jah1983199210994
Kleinfeld1980198911244
Kolasinski 1978199112986
Larson1985199712250
Lewis1976198610272
Marsh1984199610366
Moore 1983199513608
Pfeiffer1979199214202
Sanders1982199514252
Schmiedel198319929876
Tennyson1981198910467
Winkelmann1976199013244

The table above lists the Top 20 basketball players in terms of points scored for a particular basketball league that lasted from 1970 through 1997. For each player the table lists the year they began playing in the league, the year they last played in the league, and the total number of points they scored.

In the grid below, select “Yes” if the statement is true based on the information in the table, and “No” if the statement is not true.
Yes No
The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list.
Of the players on the list, more played in the 1990s than played in the 1970s.
More than 20% of players on the list only played in one decade.
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The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list.: Yes Of the players on the list, more played in the 1990s than played in the 1970s.: Yes More than 20% of players on the list only played in one decade.: No
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The table above lists the Top 20 basketball players in terms of points 27 Feb 2025, 22:53
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Why answer to first question is yes?
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poojaarora1818
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The table above lists the Top 20 basketball players in terms of points 28 Feb 2025, 01:32
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Bismuth83
NameCareer BeganCareer EndedTotal Points Scored
Coietta1982199512277
Cruz1977198711048
Dorsey1977199113388
Gordon198819969897
Gujral1984199311001
Hubbard1981198910260
Hughes1977198811145
Jackson1978199114867
Jah1983199210994
Kleinfeld1980198911244
Kolasinski 1978199112986
Larson1985199712250
Lewis1976198610272
Marsh1984199610366
Moore 1983199513608
Pfeiffer1979199214202
Sanders1982199514252
Schmiedel198319929876
Tennyson1981198910467
Winkelmann1976199013244

The table above lists the Top 20 basketball players in terms of points scored for a particular basketball league that lasted from 1970 through 1997. For each player the table lists the year they began playing in the league, the year they last played in the league, and the total number of points they scored.

In the grid below, select “Yes” if the statement is true based on the information in the table, and “No” if the statement is not true.
Solution:

1. The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list. It should be No. How do we know the players on the list who played in three decades scored more than 25%? Three decades means 30 years.

2. Of the players on the list, more played in the 1990s than played in the 1970s. Yes

3. More than 20% of players on the list only played in one decade. No
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The table above lists the Top 20 basketball players in terms of points 28 Feb 2025, 02:19
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How to solve part 1 quickly? Do we actually need a calculator and need to solve the whole question?
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The table above lists the Top 20 basketball players in terms of points 28 Feb 2025, 02:28
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No. You don't need a calculator for any part of this question. Just eyeball and use some approximation techniques to get to the solution.

P.S. Please do not spam this thread by posting the same query again. Please avoid doing it. It's a humble request. Thank you!
simransu
How to solve part 1 quickly? Do we actually need a calculator and need to solve the whole question?
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The table above lists the Top 20 basketball players in terms of points 28 Feb 2025, 23:00
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1. The question asks us to determine which of the following statements are true and which are false.

2. The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list. 25% of the total points is equal to \(0.25 * 237644 = 59411\). To play in three decades, the player must begin in the 1970's and end in the 1990's, which happened for: Winkelmann, Dorsey, Jackson, Kolasinski, and Pfeiffer. The total number of points is equal to 68687, which is more than 59411. So, this statement is true.

3. Of the players on the list, more played in the 1990s than played in the 1970s. Lewis, Winkelmann, Cruz, Dorsey, Hughes, Jackson, Kolasinski, and Pfeiffer played in the 1970's (8 people). Larson, Marsh, Gordon, Coietta, Sanders, Moore, Gujral, Pfeiffer, Jah, Schmiedel, Dorsey, Jackson, Kolasinski, and Winkelmann played in the 1990's (14 people). 8 < 14. So, this statement is true.

4. More than 20% of players on the list only played in one decade. 20% of 20 players is 5. Only 3 players played in only one decade: Kleinfeld, Hubbard, and Tennyson. 3 < 5. So, this statement is false.
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The table above lists the Top 20 basketball players in terms of points 01 Mar 2025, 01:48
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Bismuth83
1. The question asks us to determine which of the following statements are true and which are false.

2. The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list. 25% of the total points is equal to \(0.25 * 237644 = 59411\). To play in three decades, the player must begin in the 1970's and end in the 1990's, which happened for: Lewis, Winkelmann, Cruz, Dorsey, Hughes, Jackson, Kolasinski, and Pfeiffer. The total number of points is equal to 68687, which is more than 59411. So, this statement is true.

3. Of the players on the list, more played in the 1990s than played in the 1970s. Lewis, Winkelmann, Cruz, Dorsey, Hughes, Jackson, Kolasinski, and Pfeiffer played in the 1970's (8 people). Larson, Marsh, Gordon, Coietta, Sanders, Moore, Gujral, Pfeiffer, Jah, Schmiedel, Dorsey, Jackson, Kolasinski, and Winkelmann played in the 1990's (14 people). 8 < 14. So, this statement is true.

4. More than 20% of players on the list only played in one decade. 20% of 20 players is 5. Only 3 players played in only one decade: Kleinfeld, Hubbard, and Tennyson. 3 < 5. So, this statement is false.
Bismuth83, Could you please check the first part of the solution, where it is mentioned to consider three decades the player must begin in the 1970s and end in the 1990s, which should not happen in the case of Cruz(1977-1987), Hughes(1977-1988), and Lewis(1976-1986) as mentioned by you. Otherwise, the total number of points which is equal to 68687 is correct.
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The table above lists the Top 20 basketball players in terms of points 01 Mar 2025, 23:25
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For option 1

My logic was like

a. Identifying players playing in all three decades.
b. Adding points approximately.. It was coming about 67 k
c. Calculating total was challenge however after glance i could infer that average would be near to 12 k and hence total would be approx 240 k

With these details I could able to conclude that "Yes" will be answer for first option
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The table above lists the Top 20 basketball players in terms of points 02 Mar 2025, 05:39
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[color=#8d8d8d][color=#006597]
02 Mar 2025, 04:38[/color]

[/color]
[color=#0f0f0f]5 playes played in the 3 decades, even if you assume everyone scored equal no. of points it will be 25% of the points, Given they have played for the longest time and a quick look at their points you can say they scored more than their counterparts, so > 25[/color]

simransu
How to solve part 1 quickly? Do we actually need a calculator and need to solve the whole question?
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The table above lists the Top 20 basketball players in terms of points 03 Mar 2025, 23:31
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Thanks for pointing that out! Looks like I forgot to take them out when putting the list together. However, as you said, the numbers still stay the same.

The solution should be updated now.
poojaarora1818
Bismuth83
1. The question asks us to determine which of the following statements are true and which are false.

2. The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list. 25% of the total points is equal to \(0.25 * 237644 = 59411\). To play in three decades, the player must begin in the 1970's and end in the 1990's, which happened for: Lewis, Winkelmann, Cruz, Dorsey, Hughes, Jackson, Kolasinski, and Pfeiffer. The total number of points is equal to 68687, which is more than 59411. So, this statement is true.

3. Of the players on the list, more played in the 1990s than played in the 1970s. Lewis, Winkelmann, Cruz, Dorsey, Hughes, Jackson, Kolasinski, and Pfeiffer played in the 1970's (8 people). Larson, Marsh, Gordon, Coietta, Sanders, Moore, Gujral, Pfeiffer, Jah, Schmiedel, Dorsey, Jackson, Kolasinski, and Winkelmann played in the 1990's (14 people). 8 < 14. So, this statement is true.

4. More than 20% of players on the list only played in one decade. 20% of 20 players is 5. Only 3 players played in only one decade: Kleinfeld, Hubbard, and Tennyson. 3 < 5. So, this statement is false.
Bismuth83, Could you please check the first part of the solution, where it is mentioned to consider three decades the player must begin in the 1970s and end in the 1990s, which should not happen in the case of Cruz(1977-1987), Hughes(1977-1988), and Lewis(1976-1986) as mentioned by you. Otherwise, the total number of points which is equal to 68687 is correct.
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The table above lists the Top 20 basketball players in terms of points 04 Mar 2025, 00:10
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Thank you so much for your response and the correction. I truly appreciate your concern about our problems. Thank you!
Bismuth83
Thanks for pointing that out! Looks like I forgot to take them out when putting the list together. However, as you said, the numbers still stay the same.

The solution should be updated now.
poojaarora1818
Bismuth83
1. The question asks us to determine which of the following statements are true and which are false.

2. The players on the list who played in three decades scored more than 25% of the total points scored by all players on the list. 25% of the total points is equal to \(0.25 * 237644 = 59411\). To play in three decades, the player must begin in the 1970's and end in the 1990's, which happened for: Lewis, Winkelmann, Cruz, Dorsey, Hughes, Jackson, Kolasinski, and Pfeiffer. The total number of points is equal to 68687, which is more than 59411. So, this statement is true.

3. Of the players on the list, more played in the 1990s than played in the 1970s. Lewis, Winkelmann, Cruz, Dorsey, Hughes, Jackson, Kolasinski, and Pfeiffer played in the 1970's (8 people). Larson, Marsh, Gordon, Coietta, Sanders, Moore, Gujral, Pfeiffer, Jah, Schmiedel, Dorsey, Jackson, Kolasinski, and Winkelmann played in the 1990's (14 people). 8 < 14. So, this statement is true.

4. More than 20% of players on the list only played in one decade. 20% of 20 players is 5. Only 3 players played in only one decade: Kleinfeld, Hubbard, and Tennyson. 3 < 5. So, this statement is false.
Bismuth83, Could you please check the first part of the solution, where it is mentioned to consider three decades the player must begin in the 1970s and end in the 1990s, which should not happen in the case of Cruz(1977-1987), Hughes(1977-1988), and Lewis(1976-1986) as mentioned by you. Otherwise, the total number of points which is equal to 68687 is correct.
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The table above lists the Top 20 basketball players in terms of points 15 Jun 2025, 00:01
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When the question talks about players who played in one or more decades,is it ALWAYS referring to calendar decades like:

1970–1979 = the 1970s

1980–1989 = the 1980s

1990–1999 = the 1990s ?
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