LEARN TESTS

Games and Tournaments

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Questions based on games and tournaments typically test both logical and analytical reasoning.Thequestionsaregenerallybasedonseeding, goalsscored, eliminationcriteria etc and test the student’s ability to identify the given parameters and analyse them. Such questions typically involve a fictitious tournament involving a certain number of players or teams. The candidates will be asked to determine winners, results of certain matches, final points table, etc. from the information provided in the question. The common sports on which the questions are based on are football, cricket, tennis, etc.

Let's solve an example to understand this better:

In the semi-finals of the Champions League, eight different football teams qualified. The teams were A, B, C, D, E, F, G and H. Two groups were made having equal number of teams. Each team in a group will play a match against other teams of the same group. Two points were given on a win, one point on a draw and no points on a loss. The team in a group having the maximum points after the semi-finals will reach the finals. In case two teams have the same highest points then the team having maximum difference in goals scored and goals received will reach the finals. A and B, C and D were not in the same group. The match between B and C was a draw and the score was 3 each. Against the two other teams, B scored maximum number of goals and received one less and two less than what it had scored. B scored maximum number of goals and received goals equal to the goals scored by C. The total goals scored by C were 12 and the total goals received by it were equal to the goals received by E against B plus 2. Both E and F lost their matches against C. The match between A and D was a draw but both won against H. H was unable to score any point and A and D had equal points.

  1. Which of the following statements can be true?
    I. B reached the finals.
    II. C reached the finals.
    III. G reached the finals.
    IV. A reached the finals.
    V. D reached the finals.

(1) II, III, V only                         (2) III, IV, V only

(3) I, II, IV only                            (4) All except I

  1. How many goals were scored by E against B?

(1) 4                   (2) 5              (3) 4 or 5                  (4) 4 or 6

  1. How many goals were scored by B against F?

(1) 6                   (2) 5              (3) 4                        (4) cannot be determined

  1. If B won the cup, then how many goals did it score at the minimum in the semi-finals? (keeping all other conditions the same)

(1) 15                 (2) 17            (3) 16                      (4) 18

  1. If G won the cup, then how many points did it score in the semi-finals?

(1) 4                   (2) 5              (3) 6                        (4) cannot be determined

  1. How many points did F get after the semi-finals?

(1) 1                   (2) 2              (3) 0                        (4) cannot be determined 


Solution:

Group I

Points

Goals scored

Goals conceded

B

5

15

12

C

5

12

8

E

 

 

 

F

-

 

 

 

 

Group II

Points

Goals scored

Goals conceded

A

3 or 5

 

 

D

3 or 5

 

 

G

6 or 2

 

 

H

0

 

 

Let the goals scored by B against E and F be x. Hence goals received by B will be (x-100) and (x-2).

Goals received by C = Goals scored by B against E+2 = 6+2 = 8

  1.  From the given statements,

    I. This statement is false as C will reach the finals as the difference in its goals scored and received is maximum.
    II. This statement is true.
    III. This can be true, if G wins all the three matches against A, D and H.
    IV.  This can be true if A’s difference between goals scored and received is maximum.
    V. This can be true if D’s difference between goals scored and received is maximum.
    Hence the right option is (4)
  1.  B received one goal less and two goals less against E and F ( not necessarily in the given order ). Thus E scored 4 or 5 goals against B.
    Hence the right option is (3)
  1. B scored 6 goals against F Hence the right option is (1)
  2. If B won the cup, then its difference in goals scored and received must have been maximum as it has equal points to C’s difference is 4 and B’s difference is 3. Hence B should have a difference of 5.  From this it can be inferred that B should have scored 17 goals.  Hence the right option is (2)
  1. If G won the cup, it must have earned 6 points in the Hence the right option is (3)
  2. This cannot be determined as we don’t know the result of the match between F and E. Hence the right option is (4)

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