## Countdown to CAT 2020|DAY 112|LRDI

**Games and Tournaments**

**Six teams A, B, C, D, E and F play a game. In the first round of the game every team plays with every other team exactly once. If a team wins, it scores 40 points, if it loses, it loses 10 points and a draw results in 20 points for each team. After the first round, the top two teams advance to the finals.** **The following are the results of the first round.**

**(i) Team C neither won nor lost a match.(ii) Teams B and E lost exactly one match.(iii) Team F lost exactly three matches.(iv) Team D won as well as lost exactly two matches.(v) Team A lost exactly two matches.(vi) The match played between team E and team F was drawn.**

**1. Which of the following teams advanced to the finals?(A) A, B (B) A, E (C) B, E (D) B, C**

**2. Which of the following teams scored the same number of points at the end of the first round?(A) B, D (B) A, D (C) D, E (D) None**

**3. The total number of winners in the first round is ____.(A) 10 (B) 9 (C) 8 (D) Cannot be determined**

1- (C) B,E

2- (B) A,D

3- (B) 9

1. C

2. B

3. B

1-c

2-b

3-d

1- C

2- B

3- B

1) C

2) B

3) B

1- (C) B,E

2- (B) A,D

3- (B) 9

I took 12mins to solve this question.

Listed, all the possible games and started filling the results-based on the extreme conditions.

Could anyone suggest me a better trick?