Question 1

How many stages are in the tournament?

Accepted Answer

Since 64 = 26 hence we will have total 7th stages in the tournament with last 7th stage is the final match.

Question 2

What is the total number of matches in the tournament?

Accepted Answer

Total number of matches is 32 + 16 + 8 + 4 +2 + 1 = 63 Or else since total number of players is 64 hence number of matches must be 64 - 1 = 63

Question 3

If seed 9 reached final then which one of the following could play with him in final?

Accepted Answer

Seed 9 played with seed 56 in stage 1, with seed 24 in stage 2, But seed 11 can reach the final if he beats seeds 6, 3 and 2 in stage 3 4 and 5 respectively.

Question 4

Which lowest seeded player can win the tournament without causing an upset by him?

Accepted Answer

If all the matches in stage 1 is an upset except the last match where seed 32 won, then in stage 2 seed 32 is the highest seeded player who can win the tournament without causing an upset.

Question 5

If seed 15 won the tournament then what is the minimum number of upsets caused by him?

Accepted Answer

From the solution of previous question we have seen that seed 32 can win the tournament without causing an upset by him. So seed 15 can also win the tournament without causing an upset by him.

Question 6

How many matches F won

Accepted Answer

From the table F won 4 matches.

Question 7

How many matches G lost?

Accepted Answer

From the table G lost 4 matches.

Question 8

E won against which all teams?

Accepted Answer

From the table E won against C and G

Question 9

Which team won minimum number of matches?

Accepted Answer

C and E won 2 matches.

Question 10

How many teams won 4 matches?

Accepted Answer

2 teams won 2 matches each

Question 11

There are 4 teams in the Indian Professional Volleyball league : Karnataka, Punjab, Jharkhand and Gujarat. Karnataka has 19 points and would be playing 1, 2 and 1 matches against Punjab, Jharkhand and Gujarat respectively. Punjab has 29 points and w…

Accepted Answer

From the given conditions we can form the table as follows: From the table we can conclude that Karnataka and Punjab have 1 match to play against each other. It is also given that A win can fetch 2 points, and a loss, 0 point. The maximum points that Gujrat (with lowest point) = 18 + ( 5 × 2 ) = 28 and he may not be eliminated, Similarly there are certain conditions exist where every team has a chance to survive.

Question 12

What is the total number of matches played in the tournament?

Accepted Answer

First Stage: There is two groups of 8 teams each. In each group, each team plays with every other team and hence total number of matches are 8c2 = 8 × ( 7/2 ) = 28 matches So, in both the groups the total number of matches played at the first stage are 28. And hence 56 matches are played in 1st stage Second Stage: In this stage there are 8 teams playing in such a way that in one round 4 teams play with 4 other teams. 4 teams win and go to the next round. That is called knock out tournament. In the 1st round no of matches ( 8/2 ) = 4, In the 2nd round no of matches = ( 4/2 ) = 2, In the third or the last round number of match = ( 2/2 ) = 1, So , total no. of matches in 2nd stage is 4 + 2 + 1 = 7 Hence total match in the tournament = 56 + 7 = 63

Question 13

The minimum number of wins needed for a team in the first stage to guarantee is advancement to the next stage is:

Accepted Answer

From the given information we can complete the following table it is clear that if a team wins 5 games, then also there is no guarantee of its advancement to the next stage, since only 4 teams can go to the next stage. Note: In the table W → Wins, L → Loose, × → No match (as example there can not be match between 1& and 1, 2 and 2 and so on) The above is one of such combination. Since after winning 5 matches too, there is no guarantee to advancement, so the answer must be 6, because no two teams can get 7 points each.

Question 14

If Ricky Singh a lucky player from South Kolkata aspire to play semi final stage what is the minimum points he should aim to guarantee a seat in semifinal?

Accepted Answer

In stage I, in a group in total 6 matches and that will have 12 points in total. Total number of matches in this stage is 4 × 6 = 24 In stage II, total 8 players and they play each other except a player who comes from same group but point of their match in stage I is carried forward hence in stage II total points is 28 × 2 = 56. Number of matches in stage II is 7 × ( 8/2 ) – 4 = 24 In stage 2 total points are 56. Consider bottom 3 players, they must play three matches among themselves and hence they have minimum 6 points with them, Remaining points 56 - 6 = 50 if equally divided between top 5 then one would get 10 points, so to guarantee a seat in semifinal Ricky Singh has to score 12 points .

Question 15

If Ricky Singh a lucky player from South Kolkata reached semi final stage after getting the minimum possible points, then what is the point scored by Mr. Ricky Singh.

Accepted Answer

In stage I, in a group in total 6 matches and that will have 12 points in total. Total number of matches in this stage is 4 × 6 = 24 In stage II, total 8 players and they play each other except a player who comes from same group but point of their match in stage I is carried forward hence in stage II total points is 28 × 2 = 56. Number of matches in stage II is 7 × ( 8/2 ) – 4 = 24 In this case we have to minimize the points scored by 4th ranker (Who advanced to Semi Final). In order to minimize the points scored by Ricky Singh top three players should get maximum points, Let points achieved by top three player at the end of stage II is 14, 12 and 10 summing up to 14 + 12 + 10 = 36 and remaining points 56 - 36 = 20 got distributed to bottom 5 players. To minimize the points scored by Ricky Singh, all of the bottom five got same point (20/5 = 4 points) and with complex tie breaker Ricky is advanced to Semifinal.

Question 16

If there is no upset in stage 1 then the lowest seeded player who can win the tournament is -

Accepted Answer

In stage I, in a group in total 6 matches and that will have 12 points in total. Total number of matches in this stage is 4 × 6 = 24 In stage II, total 8 players and they play each other except a player who comes from same group but point of their match in stage I is carried forward hence in stage II total points is 28 × 2 = 56. Number of matches in stage II is 7 × ( 8/2 ) – 4 = 24 In stage 1 a player has to win minimum 1 match to advance to the next stage. Now consider the different groups, South Kolkata : 1, 8, 9, 16 [seed 9 can advance after beating seed 16 without an upset] North Kolkata : 2, 7, 10, 15 [seed 10 can advance after beating seed 15 without an upset] Central Kolkata : 3, 6, 11, 14 [seed 11 can advance after beating seed 14 without an upset] Saltlake : 4, 5, 12,13 [seed 12 can advance after beating seed 113 without an upset] So seed 12 is the lowest seed who can advance to stage II without causing Upset in stage I, and can win the tournament [Please note here that in stage II or semifinal there may be an Upset

Question 17

What is the total number of points ( From all the stages including final) in the tournament?

Accepted Answer

In stage I, in a group in total 6 matches and that will have 12 points in total. Total number of matches in this stage is 4 × 6 = 24 In stage II, total 8 players and they play each other except a player who comes from same group but point of their match in stage I is carried forward hence in stage II total points is 28 × 2 = 56. Number of matches in stage II is 7 × ( 8/2 ) – 4 = 24 Total number of matches are as follows Stage I: 24 Stage II: 24 Semifinal: 2 For 3rd place (Looser of semi final): 1 Final: 1 Total number of matches is 52 and hence total number of points is 52 × 2 = 104

Question 18

Find the ratio of number of matches at Stage I and Stage II.

Accepted Answer

In stage I, in a group in total 6 matches and that will have 12 points in total. Total number of matches in this stage is 4 × 6 = 24 In stage II, total 8 players and they play each other except a player who comes from same group but point of their match in stage I is carried forward hence in stage II total points is 28 × 2 = 56. Number of matches in stage II is 7 × ( 8/2 ) – 4 = 24 Total number of matches are as follows: Stage I : 24 Stage II : 24 And required ratio is 1 : 1.

Question 19

If result of stage 2 is interchanged i.e winner becomes looser and vice versa and as a result 3 players got same points then Dripto got how many points?

Accepted Answer

Total number of matches is 21 when divided in 3 stages we will get 7 matches in one stage. From the given table Ahaskar, Faisal and Gaurav won 4 matches then Dripto won only 2 matches.

Question 20

If result of stage 2 is interchanged i.e winner becomes looser and vice versa then who won the maximum points in the tournament?

Accepted Answer

Total number of matches is 21 when divided in 3 stages we will get 7 matches in one stage.Hence , required answer is Bhanu. The new result will be as follows :

Games and Tournament Questions