**Question: **Pappu, Nandu, Mamu and Chhoti participated in a POOL competition.

FACTS : 1. There are total of 15 balls.

2. For each ball potted, the player will receive one point.

3. They all will play each other once.

4. A game will end when all the balls are potted.

5. The winner will be the player who scored the most points.

OUTCOMES

1. Chhoti finished with 18 points.

2. Pappu finished with odd number of points.

3. Mamu beat Chhoti by 5 points in the match between them.

4. There was one point difference in match between Nandu and Pappu.

5. Pappu scored twice as many points as Mamu in their game.

6. Chhoti scored one point less against Pappu than he did against Mamu.

7. Mamu scored 7 points against Nandu.

Who won the competition? How many points did each player score?

**Answer:**

Let's put all the given information in a tabular format.

Players P-N P-M P-C N-M N-C M-C Total

Pappu 7 or 8 10 11 --- --- --- Odd points

Nandu 8 or 7 --- --- 8 ---

Mamu --- 5 --- 7 --- 10

Chhoti --- --- 4 --- 5 18

* As Pappu finished with odd number of points, he must have scored 8 points in the match against Nandu.

* As Chhoti finished with 18 points, he must have scored 9 points in the match against Nandu.

Players P-N P-M P-C N-M N-C M-C Total

Pappu 8 10 11 --- --- --- 29

Nandu 7 --- --- 8 6 --- 21

Mamu --- 5 --- 7 --- 10 22

Chhoti --- --- 4 --- 9 5 18

Hence, the winner is Pappu with 29 points.