# DI - Games & Tournaments - Previous Year CAT/MBA Questions

You can practice all previous year OMET questions from the topic DI - Games & Tournaments. This will help you understand the type of questions asked in OMET. It would be best if you clear your concepts before you practice previous year OMET questions.

**Answer the next 3 questions based on the information given below.**

Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows;

Note:

- The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
- In a match played between Team X and Team Y, if team X scores 1 and concedes none, then the score line would read. Team X-Team Y (1-0).

**XAT 2018 QADI | DI - Games & Tournaments**

Which of the following matches are yet to be played?

- A.
Team A – Team B and Team C – Team D

- B.
Team C – Team D and Team E – Team F

- C.
Team E – Team F and Team B – Team D

- D.
Team C – Team D and Team A – Team E

- E.
Team A – Team B and Team E – Team F

Answer: Option E

**Explanation** :

Team A wins both its matches and the only teams to lose a match are E and F.

∴ A played and won against E and F.

D drew both its matches. D would draw its matches against B (1 - 1) and C (0 - 0).

Since team B drew 1-1 with team D, team B must have won the other game 4-0.

If B won (4 - 0) against E, then E would’ve won its other match (1 – 0). But E has to lose both its matches.

∴ B won (4 - 0) against F and F lost its match against A (0 - 3).

Now, since A won against F (3 - 0) hence it won its match against E by (2 - 1)

Now since E lost its match against A by (1 - 2), E would’ve lost its other match by (0 - 2) against C.

[TBP = To be played]

Hence, option (e).

Workspace:

**XAT 2018 QADI | DI - Games & Tournaments**

Which of the following score line is a possible outcome in the tournament?

- A.
Team A – Team D (1-0)

- B.
Team A – Team E (2-1)

- C.
Team B – Team D (1-0)

- D.
Team C – Team F (2-0)

- E.
None of the above

Answer: Option B

**Explanation** :

Consider the solution to first question of this set.

Team A won against E by (2 - 1).

Hence, option (b).

Workspace:

**XAT 2018 QADI | DI - Games & Tournaments**

Which of the following score line is not a possible outcome in the tournament?

- A.
Team A – Team F (4-0)

- B.
Team B – Team F (4-0)

- C.
Team C – Team D (0-0)

- D.
Team C – Team E (2-0)

- E.
All of the above options are possible

Answer: Option A

**Explanation** :

Consider the solution to first question of this set.

Team A won against F by (3 - 0).

Hence, option (a).

Workspace:

**Answer the following question based on the information given below.**

In ISL football competition, eight football teams – Atletico De Kolkata, Chennaiyan FC, Delhi Dynamos, FC Goa, FC Pune City, Kerala Blasters, Mumbai City FC and North-East United FC – participated where each team played against every other team exactly once. Every win earned three points for the teams and a loss earned 0. If there was a draw, each team was rewarded one point. Now as per the fixtures, following are some of the observations:

- Out of the seven matches played by Chennaiyan FC, it won five and the other two matches were drawn.
- FC Pune City won the match against FC Goa and Kerala Blasters but lost the match against Delhi Dynamos and Chennaiyan FC.
- Atletico De Kolkata drew a match against FC Goa, Chennaiyan FC and FC Pune City.
- None of the teams lost all the matches.

**IIFT 2017 LR | DI - Games & Tournaments**

If Chennaiyan FC won the match against FC Goa, what could have been the maximum score of FC Goa?

- A.
11

- B.
12

- C.
13

- D.
14

Answer: Option C

**Explanation** :

FC Goa has lost to FC Pune City and drawn by Atletico de Kolkata. Also, as per the question, FC Goa has lost to Chennaiyan FC.

Hence, FC Goa has 2 losses and 1 draw.

To maximise its score, it should win the remaining four matches.

∴ Maximum score = (4 × 3) + (2 × 0) + (1 × 1) = 13

Hence, option 3.

Workspace:

**IIFT 2017 LR | DI - Games & Tournaments**

What could be the minimum absolute difference between the scores of FC Pune City and Chennaiyan FC?

- A.
0

- B.
1

- C.
3

- D.
4

Answer: Option D

**Explanation** :

Chennaiyan FC have won 5 matches and drawn 2 matches.

∴ Their score = (5 × 3) + (2 × 1) = 17

To minimize the difference of scores between the two team, maximize FC Pune City’s score.

FC City have won 2 matches, lost 2 matches and drawn 1 match. Hence, to maxmiize their score, they should win the reminaing 2 matches. Hence, they should have 4 wins, 2 losses and 1 draw.

∴ Their score = (4 × 3) + (1 × 1) = 13

∴ Minimum absolute difference = 17 – 13 = 4

Hence, option 4.

Workspace: