Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. The following information is known about Rounds 1 through 6: 1. Gordon did not score consecutively in any two rounds. 2. Eric and Fatima both scored in a round. The following information is known about Rounds 7 through 10: 1. Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds. 2. Joshin scored in Round 7, while Amita scored in Round 10. 3. No player scored in all the four rounds.
Question: 1
What were the scores of Chen, David, and Eric respectively after Round 3?
Based on the provided information, we can observe that each player participated in specific rounds. The table below illustrates the rounds in which each person participated, divided into Rounds 1-6 and Rounds 7-10:
Person
Rounds participated from 1 to 6
Rounds participated from 7 to 10
Amita
1, 6
7, 8, 9, 10
Bala
1, 2
7, 8, 9, 10
Chen
1, 2, 3
8, 9, 10
David
1,2, 3,4
9, 10
Eric
1,2, 3, 4,5
10
Fatima
1,2, 3, 4, 5,6
-
Gordon
2, 3, 4, 5, 6
7
Hansa
3, 4, 5, 6
7,8
Ikea
4, 5,6
7, 8, 9
Joshin
5, 6
7, 8, 9, 10
Rounds 1 to 6:
Amita scored 8 points till Round 6, participating in Round 1 and Round 6, scoring 7 and 1 points, respectively.
Bala scored 2 points till Round 6, with 1 point in each of Round 1 and Round 2.
Gordon scored 17 points in Rounds 2, 4, and 6, with possible point distributions of 7, 7, and 3 points in any order.
Joshin scored 14 points in Rounds 5 and 6, with 7 points in each of these two rounds.
Ikea scored 2 points till Round 6, participating in Rounds 4, 5, and 6, scoring 0 points in Round 6, and 1 point each in Round 4 and Round 5.
Hansa scored 1 point in Round 3.
Eric scored 3 points in the first 6 rounds, likely scoring 3 points in one round, as he participated only in Rounds 1 to 5.
Fatima likely scored 7 points and 3 points in two rounds among the first 6 rounds.
Rounds 7 to 10:
Chen scored 3 points in one of the rounds, likely in Rounds 8, 9, and 10.
Ikea scored 15 points in Rounds 7 to 10, with possible point distributions of 7, 7, and 1 points in Rounds 7, 8, and 9, respectively.
Joshin scored 3 points in Round 7.
In Round 7, Amita scored 7 points, and Hansa likely scored 3 points in Round 8.
Eric scored 7 points in Rounds 7 to 10, with 7 points in Round 10.
David did not score any points in Rounds 7 to 10.
Amita scored 3 points in Round 10, and Bala scored 3 points in Round 9.
The detailed points scored by each player in each round are represented in the provided table, with 'X' indicating rounds in which the player did not participate.
A
B
C
D
E
F
G
H
I
J
1
7
1
3/0
0/3
0
0
X
X
X
X
2
X
1
0/3
3/0
0
0
7
X
X
X
3
X
X
0
0
3
7
0
1
X
X
4
X
X
X
3
0
0
7
0
1
X
5
X
X
X
X
0
3
0
0
1
7
6
1
X
X
X
X
0
3
0
0
7
7
7
0
X
X
X
X
0
0
1
3
8
0
0
1
X
X
X
X
3
7
0
9
0
3
1
0
X
X
X
X
7
0
10
3
0
1
0
7
X
X
X
X
0
It appears that after Round 3, both Chen, David, and Eric each scored 3 points. The answer is (3, 3, 3).
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Question: 2
Which three players were in the last three positions after Round 4?
Based on the provided information, we can observe that each player participated in specific rounds. The table below illustrates the rounds in which each person participated, divided into Rounds 1-6 and Rounds 7-10:
Person
Rounds participated from 1 to 6
Rounds participated from 7 to 10
Amita
1, 6
7, 8, 9, 10
Bala
1, 2
7, 8, 9, 10
Chen
1, 2, 3
8, 9, 10
David
1,2, 3,4
9, 10
Eric
1,2, 3, 4,5
10
Fatima
1,2, 3, 4, 5,6
-
Gordon
2, 3, 4, 5, 6
7
Hansa
3, 4, 5, 6
7,8
Ikea
4, 5,6
7, 8, 9
Joshin
5, 6
7, 8, 9, 10
Rounds 1 to 6:
Amita scored 8 points till Round 6, participating in Round 1 and Round 6, scoring 7 and 1 points, respectively.
Bala scored 2 points till Round 6, with 1 point in each of Round 1 and Round 2.
Gordon scored 17 points in Rounds 2, 4, and 6, with possible point distributions of 7, 7, and 3 points in any order.
Joshin scored 14 points in Rounds 5 and 6, with 7 points in each of these two rounds.
Ikea scored 2 points till Round 6, participating in Rounds 4, 5, and 6, scoring 0 points in Round 6, and 1 point each in Round 4 and Round 5.
Hansa scored 1 point in Round 3.
Eric scored 3 points in the first 6 rounds, likely scoring 3 points in one round, as he participated only in Rounds 1 to 5.
Fatima likely scored 7 points and 3 points in two rounds among the first 6 rounds.
Rounds 7 to 10:
Chen scored 3 points in one of the rounds, likely in Rounds 8, 9, and 10.
Ikea scored 15 points in Rounds 7 to 10, with possible point distributions of 7, 7, and 1 points in Rounds 7, 8, and 9, respectively.
Joshin scored 3 points in Round 7.
In Round 7, Amita scored 7 points, and Hansa likely scored 3 points in Round 8.
Eric scored 7 points in Rounds 7 to 10, with 7 points in Round 10.
David did not score any points in Rounds 7 to 10.
Amita scored 3 points in Round 10, and Bala scored 3 points in Round 9.
The detailed points scored by each player in each round are represented in the provided table, with 'X' indicating rounds in which the player did not participate.
A
B
C
D
E
F
G
H
I
J
1
7
1
3/0
0/3
0
0
X
X
X
X
2
X
1
0/3
3/0
0
0
7
X
X
X
3
X
X
0
0
3
7
0
1
X
X
4
X
X
X
3
0
0
7
0
1
X
5
X
X
X
X
0
3
0
0
1
7
6
1
X
X
X
X
0
3
0
0
7
7
7
0
X
X
X
X
0
0
1
3
8
0
0
1
X
X
X
X
3
7
0
9
0
3
1
0
X
X
X
X
7
0
10
3
0
1
0
7
X
X
X
X
0
The three players who were in the last position after Round 4 were Joshin (0 points), Ikea (1 point) and Hansa (1 point). Answer: (Hansa, Ikea, Joshin)
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Question: 3
Which player scored points in maximum number of rounds?
Based on the provided information, we can observe that each player participated in specific rounds. The table below illustrates the rounds in which each person participated, divided into Rounds 1-6 and Rounds 7-10:
Person
Rounds participated from 1 to 6
Rounds participated from 7 to 10
Amita
1, 6
7, 8, 9, 10
Bala
1, 2
7, 8, 9, 10
Chen
1, 2, 3
8, 9, 10
David
1,2, 3,4
9, 10
Eric
1,2, 3, 4,5
10
Fatima
1,2, 3, 4, 5,6
-
Gordon
2, 3, 4, 5, 6
7
Hansa
3, 4, 5, 6
7,8
Ikea
4, 5,6
7, 8, 9
Joshin
5, 6
7, 8, 9, 10
Rounds 1 to 6:
Amita scored 8 points till Round 6, participating in Round 1 and Round 6, scoring 7 and 1 points, respectively.
Bala scored 2 points till Round 6, with 1 point in each of Round 1 and Round 2.
Gordon scored 17 points in Rounds 2, 4, and 6, with possible point distributions of 7, 7, and 3 points in any order.
Joshin scored 14 points in Rounds 5 and 6, with 7 points in each of these two rounds.
Ikea scored 2 points till Round 6, participating in Rounds 4, 5, and 6, scoring 0 points in Round 6, and 1 point each in Round 4 and Round 5.
Hansa scored 1 point in Round 3.
Eric scored 3 points in the first 6 rounds, likely scoring 3 points in one round, as he participated only in Rounds 1 to 5.
Fatima likely scored 7 points and 3 points in two rounds among the first 6 rounds.
Rounds 7 to 10:
Chen scored 3 points in one of the rounds, likely in Rounds 8, 9, and 10.
Ikea scored 15 points in Rounds 7 to 10, with possible point distributions of 7, 7, and 1 points in Rounds 7, 8, and 9, respectively.
Joshin scored 3 points in Round 7.
In Round 7, Amita scored 7 points, and Hansa likely scored 3 points in Round 8.
Eric scored 7 points in Rounds 7 to 10, with 7 points in Round 10.
David did not score any points in Rounds 7 to 10.
Amita scored 3 points in Round 10, and Bala scored 3 points in Round 9.
The detailed points scored by each player in each round are represented in the provided table, with 'X' indicating rounds in which the player did not participate.
A
B
C
D
E
F
G
H
I
J
1
7
1
3/0
0/3
0
0
X
X
X
X
2
X
1
0/3
3/0
0
0
7
X
X
X
3
X
X
0
0
3
7
0
1
X
X
4
X
X
X
3
0
0
7
0
1
X
5
X
X
X
X
0
3
0
0
1
7
6
1
X
X
X
X
0
3
0
0
7
7
7
0
X
X
X
X
0
0
1
3
8
0
0
1
X
X
X
X
3
7
0
9
0
3
1
0
X
X
X
X
7
0
10
3
0
1
0
7
X
X
X
X
0
It's noted that Ikea scored in the maximum number of rounds, specifically in 5 rounds. The answer is (Ikea).
Based on the provided information, we can observe that each player participated in specific rounds. The table below illustrates the rounds in which each person participated, divided into Rounds 1-6 and Rounds 7-10:
Person
Rounds participated from 1 to 6
Rounds participated from 7 to 10
Amita
1, 6
7, 8, 9, 10
Bala
1, 2
7, 8, 9, 10
Chen
1, 2, 3
8, 9, 10
David
1,2, 3,4
9, 10
Eric
1,2, 3, 4,5
10
Fatima
1,2, 3, 4, 5,6
-
Gordon
2, 3, 4, 5, 6
7
Hansa
3, 4, 5, 6
7,8
Ikea
4, 5,6
7, 8, 9
Joshin
5, 6
7, 8, 9, 10
Rounds 1 to 6:
Amita scored 8 points till Round 6, participating in Round 1 and Round 6, scoring 7 and 1 points, respectively.
Bala scored 2 points till Round 6, with 1 point in each of Round 1 and Round 2.
Gordon scored 17 points in Rounds 2, 4, and 6, with possible point distributions of 7, 7, and 3 points in any order.
Joshin scored 14 points in Rounds 5 and 6, with 7 points in each of these two rounds.
Ikea scored 2 points till Round 6, participating in Rounds 4, 5, and 6, scoring 0 points in Round 6, and 1 point each in Round 4 and Round 5.
Hansa scored 1 point in Round 3.
Eric scored 3 points in the first 6 rounds, likely scoring 3 points in one round, as he participated only in Rounds 1 to 5.
Fatima likely scored 7 points and 3 points in two rounds among the first 6 rounds.
Rounds 7 to 10:
Chen scored 3 points in one of the rounds, likely in Rounds 8, 9, and 10.
Ikea scored 15 points in Rounds 7 to 10, with possible point distributions of 7, 7, and 1 points in Rounds 7, 8, and 9, respectively.
Joshin scored 3 points in Round 7.
In Round 7, Amita scored 7 points, and Hansa likely scored 3 points in Round 8.
Eric scored 7 points in Rounds 7 to 10, with 7 points in Round 10.
David did not score any points in Rounds 7 to 10.
Amita scored 3 points in Round 10, and Bala scored 3 points in Round 9.
The detailed points scored by each player in each round are represented in the provided table, with 'X' indicating rounds in which the player did not participate.
A
B
C
D
E
F
G
H
I
J
1
7
1
3/0
0/3
0
0
X
X
X
X
2
X
1
0/3
3/0
0
0
7
X
X
X
3
X
X
0
0
3
7
0
1
X
X
4
X
X
X
3
0
0
7
0
1
X
5
X
X
X
X
0
3
0
0
1
7
6
1
X
X
X
X
0
3
0
0
7
7
7
0
X
X
X
X
0
0
1
3
8
0
0
1
X
X
X
X
3
7
0
9
0
3
1
0
X
X
X
X
7
0
10
3
0
1
0
7
X
X
X
X
0
It's noted that the players who scored in the last round are Amita, Chen, and Eric. The answer is (Amita, Chen, Eric).
