5th Class Mental Ability Arithmetical Reasoning Question Bank Arithmetical Reasoning

In a chess tournament, each of the six players will play every other player exactly once. How many matches will be played during the tournament?

A) 12

B) 15

C) 30

D) 36

Correct Answer: B

Solution :

I. matches of first player with other 5 players

II. matches of second player with 4 players other than the first player

III. matches of third player with 3 players other than the first player and second player.

IV. matches of fourth player with 2 players other than the first player, second player and third player.

V. matches of fifth player with 1 player other than the first player, second player, third player and fourth player.

So, total matches will be 5 + 4 + 3 + 2 + 1 = 15