Games and Tournaments is of the important topic for Logical reasoning for CAT. Many times questions are framed on Tennis, Football, Hockey and Cricket tournaments. First a given set of rules will be given and candidates are required to understand and remember every rule. Analyzing and decoding the given data is basic thing to start. Important things to consider while solving this questions are number of losses or wins, average points, goal scores, tie matches and Elimination. Learn more about Games and Tournament for CAT.
Games and Tournament Questions for CAT PDF:
Answer the following questions based on the information given below:
In a sports event, six teams (A, B, C, D, E and F) are competing against each other Matches are scheduled in two stages. Each team plays three matches in Stage – I and two matches in Stage – II. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage – I and Stage – II are as given below.
• One team won all the three matches.
• Two teams lost all the matches.
• D lost to A but won against C and F.
• E lost to B but won against C and F.
• B lost at least one match.
• F did not play against the top team of Stage-I.
• The leader of Stage-I lost the next two matches
• Of the two teams at the bottom after Stage-I, one team won both matches, while the other lost both matches.
• One more team lost both matches in Stage-II.
The two teams that defeated the leader of Stage-I are:
A. B & F
B. E & F
C. B & D
D. E & D
E. F & D
The only team(s) that won both matches in Stage-II is (are):
B. E & F
C. A, E & F
D. B, E & F
E. B & F
The teams that won exactly two matches in the event are:
A. A, D & F
B. D & E
C. E & F
D. D, E & F
E. D & F
The team(s) with the most wins in the event is (are):
B. A & C
E. B & E
Answers and Explanations for Games and Tournaments questions:
There are a total of $$^6 C_2$$ matches => 15 matches. The first 9 matches are held in the first stage and remaining 6 in the second stage.
From the information given, we can conclude that the following matches were held in first stage:
Stage 1: D-A (A won), D-C (D won), D-F (D won), E-B (B won), E-C (E won), E-F (E won)
One team won all matches. As B, C, D E and F have lost at least one match each, A won all three matches. As A, B, D, E have won at least one match, C and F lost both matches.
From the matches already deduced, we can see that A needs to play 2 more matches, B two more matches and C and F one match each. As C and F lose all matches in stage 1, they cannot play against each other. F did not play against the leader i.e. A. Hence, the remaining matches are A-B (A won), A-C (A won), B-F (B won).
Thus, the stage 1 matches are
Stage 1: D-A (A won), D-C (D won), D-F (D won), E-B (B won), E-C (E won), E-F (E won), A-B (A won), A-C (A won), B-F (B won)
Thus Stage 2 matches are D-B, D-E, E-A, F-A, B-C and C-F (all matches – stage 1 matches)
As A lost both matches, F and E must have won the match vs A. As F won against A, F won both its matches and C lost both its matches. One more team lost both its matches. As B, E and F have won at least one match and A and C have been discussed previously, D must have lost both matches. Hence, stage 2 results are:
Stage 2: D-B (B won), D-E (E won), E-A (E won), F-A (F won), B-C (B won) and C-F (F won)
1) Answer (B)
Hence, the two teams that won against stage 1 leader A are E and F.
2) Answer (D)
Hence, the teams that won both of their stage 2 matches are B, E and F.
3) Answer (E)
Hence, the wins by each team are A (3), B(4), C(0), D(2), E(4), F(2). Hence, D and F won exactly 2 matches.
4) Answer (E)
Hence, the wins by each team are A(3), B(4), C(0), D(2), E(4), F(2). Hence, most wins are by B and E.
Hope this practice test on Games and Tournaments CAT Questions will be very much useful to you. Attend for free CAT Online preparation classes to crack CAT 2017/2018