DI DS LR Test 20

Quarterfinal stage matches with 8 teams = ? Quarterfinal stage matches with 8 teams = ?

2 Mark(s)

In 4-team RR (6 matches), max number of draws possible? In 4-team RR (6 matches), max number of draws possible?

2 Mark(s)

In an 8-team single round-robin (2 pts/win, 1 draw), minimum wins that GUARANTEE finishing in top 4? In an 8-team single round-robin (2 pts/win, 1 draw), minimum wins that GUARANTEE finishing in top 4?

2 Mark(s)

If Team A scored 20 pts, Team B 16 pts in 10-match league, difference in wins (2 pts/win): If Team A scored 20 pts, Team B 16 pts in 10-match league, difference in wins (2 pts/win):

2 Mark(s)

2 wins 2 wins
3 wins 3 wins
4 wins 4 wins
Cannot be determined Cannot be determined

In a 6-team league (2 pts/win, 1 draw), can all teams end with the same EVEN number of points? In a 6-team league (2 pts/win, 1 draw), can all teams end with the same EVEN number of points?

2 Mark(s)

Yes, if all matches are draws Yes, if all matches are draws
No, parity forbids it No, parity forbids it
Only if double round-robin Only if double round-robin
Only with 8 teams Only with 8 teams

A knockout has 14 teams. How many byes are needed in round 1? A knockout has 14 teams. How many byes are needed in round 1?

2 Mark(s)

A league awards 2 points for win, 1 for draw. With 45 matches in total, what is the sum of points across all teams? A league awards 2 points for win, 1 for draw. With 45 matches in total, what is the sum of points across all teams?

2 Mark(s)

90 90
45 45
135 135
Depends on number of draws Depends on number of draws

In any league table, the sum of all Goals For (GF) equals the sum of: In any league table, the sum of all Goals For (GF) equals the sum of:

2 Mark(s)

Goals Against Goals Against
Wins × 2 Wins × 2
Matches Matches
Goal differences Goal differences

In a seeded 16-team knockout, how many matches must the champion win? In a seeded 16-team knockout, how many matches must the champion win?

2 Mark(s)

Can each team lose exactly once in RR with 5 teams? Can each team lose exactly once in RR with 5 teams?

2 Mark(s)

No No
Yes Yes
Only if draws allowed Only if draws allowed
Only with 6 teams Only with 6 teams

How many teams eliminated after first round in 32-team knockout? How many teams eliminated after first round in 32-team knockout?

2 Mark(s)

16 16
8 8
32 32
24 24

Number of possible final standings (rankings) for 5 teams: Number of possible final standings (rankings) for 5 teams:

2 Mark(s)

120 120
60 60
25 25
100 100

A tournament has 4 groups of 4 teams each; group stage is single round-robin within each group. Total group-stage matches? A tournament has 4 groups of 4 teams each; group stage is single round-robin within each group. Total group-stage matches?

2 Mark(s)

24 24
36 36
48 48
12 12

If a team wins exactly half of 12 matches, number of wins = ? If a team wins exactly half of 12 matches, number of wins = ?

2 Mark(s)

Can all teams in a 3-team group have same points? Can all teams in a 3-team group have same points?

2 Mark(s)

Yes, if each beats one and loses one Yes, if each beats one and loses one
No No
Only if draws allowed Only if draws allowed
Only if 4 teams Only if 4 teams

Two teams tie on points and goal difference. Which tie-breaker commonly applies next? Two teams tie on points and goal difference. Which tie-breaker commonly applies next?

2 Mark(s)

Goals scored Goals scored
Number of losses Number of losses
Alphabetical order Alphabetical order
Coin toss Coin toss

In a 12-team single round-robin (2 pts/win), maximum points one team can earn? In a 12-team single round-robin (2 pts/win), maximum points one team can earn?

2 Mark(s)

22 22
24 24
20 20
18 18

Eight teams play home-and-away (double round-robin). Total matches? Eight teams play home-and-away (double round-robin). Total matches?

2 Mark(s)

56 56
28 28
64 64
72 72

If 20 teams play a pure knockout, how many matches are required to decide a winner? If 20 teams play a pure knockout, how many matches are required to decide a winner?

2 Mark(s)

19 19
20 20
18 18
21 21

Max points possible for a team in 6-team RR (2 pts/win): Max points possible for a team in 6-team RR (2 pts/win):

2 Mark(s)

10 10
12 12
8 8
14 14

Three teams A, B, C play once each against every other (no draws). How many distinct win–loss outcome patterns across the 3 matches are possible? Three teams A, B, C play once each against every other (no draws). How many distinct win–loss outcome patterns across the 3 matches are possible?

2 Mark(s)

8 8
6 6
3 3
12 12

If total goals = 30 in 10 matches, avg goals per match = ? If total goals = 30 in 10 matches, avg goals per match = ?

2 Mark(s)

3 3
2 2
4 4
3.5 3.5

In a 9-team single round-robin, in each round how many teams have a bye? In a 9-team single round-robin, in each round how many teams have a bye?

2 Mark(s)

1 1
0 0
2 2
Depends on schedule Depends on schedule

In a single round-robin with 7 teams, how many matches are played? In a single round-robin with 7 teams, how many matches are played?

2 Mark(s)

21 21
42 42
28 28
35 35

Number of rounds in knockout with 16 teams: Number of rounds in knockout with 16 teams:

2 Mark(s)

DI DS LR Test 20 : Question 1 of 25