Sports Event Tournament Results
CAT 2008 Slot 1 · Data Interpretation & Logical Reasoning · Hard · Logical Reasoning
This is a hard Data Interpretation & Logical Reasoning question set from the CAT 2008 Slot 1 paper. It tests Logical Reasoning. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
Passage / data set
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.
Stage-I:
- 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.
Stage-II:
- 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.
Question 1 of 4
The two teams that defeated the leader of Stage-I are:
- A.
F & D
- B.
E & F
- C.
B & D
- D.
E & D
- E.
F & D
B
Explanation
Leader of Stage-I is A (won all 3 matches). F lost all matches in Stage-I and didn't play A in Stage-I, so F played A in Stage-II and won. The other team that beat A in Stage-II is E.
Question 2 of 4
The only team(s) that won both matches in Stage-II is (are):
- A.
B
- B.
E & F
- C.
A, E & F
- D.
B, E & F
- E.
B & F
D
Explanation
In Stage-II, B, E, and F won both of their matches.
Why the other options are wrong
- A.B — does not satisfy the condition asked in this question, so it is not the correct answer.
- B.E & F — does not satisfy the condition asked in this question, so it is not the correct answer.
- C.A, E & F — does not satisfy the condition asked in this question, so it is not the correct answer.
- D.B, E & F — does not satisfy the condition asked in this question, so it is not the correct answer.
- E.B & F — does not satisfy the condition asked in this question, so it is not the correct answer.
Question 3 of 4
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
E
Explanation
Total wins across both stages:
- A: 3 wins
- B: 4 wins
- C: 0 wins
- D: 2 wins
- E: 4 wins
- F: 2 wins Teams with exactly two wins are D and F.
Question 4 of 4
The team(s) with the most wins in the event is (are):
- A.
A
- B.
A & C
- C.
F
- D.
E
- E.
B & E
E
Explanation
B and E both have 4 wins total in the tournament.
Why the other options are wrong
- A.A — does not satisfy the condition asked in this question, so it is not the correct answer.
- B.A & C — does not satisfy the condition asked in this question, so it is not the correct answer.
- C.F — does not satisfy the condition asked in this question, so it is not the correct answer.
- D.E — does not satisfy the condition asked in this question, so it is not the correct answer.
- E.B & E — does not satisfy the condition asked in this question, so it is not the correct answer.
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