Logical Reasoning – Ten players, as listed in the table below


Slot – 2 – LR

Ten players, as listed in the table below – Video Solution


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.
Q.1 What were the scores of Chen, David, and Eric respectively after Round 3?

  1. 3, 3, 0
  2. 3, 3, 3
  3. 3, 6, 3
  4. 3, 0, 3
Answer: 2

Q.2 Which three players were in the last three positions after Round 4?

  1. Hansa, Ikea, Joshin
  2. Bala, Chen, Gordon
  3. Bala, Ikea, Joshin
  4. Bala, Hansa, Ikea
Answer: 1

Q.3 Which player scored points in maximum number of rounds?

  1. Ikea
  2. Chen
  3. Amita
  4. Joshin
Answer: 1

Q.4 Which players scored points in the last round?

  1. Amita, Chen, Eric
  2. Amita, Bala, Chen
  3. Amita, Eric, Joshin
  4. Amita, Chen, David
Answer: 1

Solution:
Team playing in different round can be tabulated as given below:
NP : Not played in that round
Player R1 R2 R3 R4 R5 R6 Points after round 6 R7 R8 R9 R10 Points after round 10
1 – A   NP NP NP NP   8         18
2 – B     NP NP NP NP 2         5
3 – C       NP NP NP 3 NP       6
4 – D         NP NP 6 NP NP     6
5 – E           NP 3 NP NP NP   10
6 – F             10 NP NP NP NP 10
7 – G NP           17 0 NP NP NP 17
8 – H NP NP         1     NP NP 4
9 – I NP NP NP       2       NP 17
10 – J NP NP NP NP     14         17

Now as B had scored 2 points till round 6 and he had played only in round 1 and in round 2 till that thus he must have scored 1 – 1 points in each round.
So A can score 1 in round 6 and 7 in round 1 as he had played only in two rounds and had 8 points.
Similarly, Joshin (J) must have scored 7 points each in round 5 and round 6.
Now from the information known about Rounds 7 through 10: from point 1 and 2, C must score 1 points each in round 8, 9 and 10 as hi points has been increased 3 (from 3 to 6) and J must score 3 points in round 7.
Now the only possibility for I is to score 1, 7 and 7 points in round 7, 8 and 9 respectively.
Now A can not score in two consecutive rounds and his points has been increased from 8 to 18 so it is the only possibility that he score 7 points in round 7 and 3 points in round 10. Thus B will score 3 points in round 9 and H in round 8.
Now if we fill these data in the table, the following table can be made
Player R1 R2 R3 R4 R5 R6 Points after round 6 R7 R8 R9 R10 Points after round 10
1 – A 7 NP NP NP NP 1 8 7 0 0 3 18
2 – B 1 1 NP NP NP NP 2 0 0 3 0 5
3 – C 0/3 3/0 0 NP NP NP 3 NP 1 1 1 6
4 – D 3/0 0/3 0 3 NP NP 6 NP NP 0 0 6
5 – E 0 0 3 0 0 NP 3 NP NP NP 7 10
6 – F 0 0 7 0 3 0 10 NP NP NP NP 10
7 – G NP 7 0 7 0 3 17 0 NP NP NP 17
8 – H NP NP 1 0 0 0 1 0 3 NP NP 4
9 – I NP NP NP 1 1 0 2 1 7 7 NP 17
10 – J NP NP NP NP 7 7 14 3 0 0 0 17

Now all the question can be answered:
  1. Score of Chen, David, and Eric respectively after Round 3 =3, 3,3
  2. option a)
  3. option a)
  4. option a)


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