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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
Eight teams, A through H, participated in a hockey tournament which comprised three rounds – Quarterfinals, Semifinals and Finals. All the eight teams participated in the Quarterfinals such that each team played exactly one match in the Quarterfinals. The winners of the Quarterfinals played in the semifinals and the winners of the semifinals played in the finals. The winner of the finals was declared the winner of the tournament.
It is known that A, E, G and H played in the semifinals and A and G played in the finals. In any match, the difference between the number of goals scored by the two teams was exactly 3.
The following table provides the total number of goals scored by each team in the tournament:
Team | A | B | C | D | E | F | G | H |
|---|---|---|---|---|---|---|---|---|
Goals Scored | 8 | 2 | 4 | 1 | 7 | 5 | 12 | 10 |
Question 1
Which team played against B in the quarterfinals?
A. E
B. G
C. A
D. H
Question 2
What is the total number of goals scored by the two finalists in the semifinals?
Question 3
Which team scored the highest number of goals in the quarterfinals?
A. A
B. E
C. G
D. H
Question 4
If the semifinals that A played was the third match of the tournament, then which of the following teams could have played in the second match of the tournament?
A. E
B. D
C. F
D. G
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✅ Answers & Explanations
Final Table
Quarter Finals
Match | Score |
|---|---|
A – B | 5 – 2 |
C – E | 4 – 7 |
D – G | 1 – 4 |
F – H | 5 – 8 |
Semi-Finals
Match | Score |
|---|---|
A – E | 3 – 0 |
G – H | 5 – 2 |
Finals
Match | Score |
|---|---|
A – G | 0 – 3 |
Set 1
Since B, C, D and F did not reach the semifinals, each of them played only one match, i.e., the quarterfinal.
So their quarterfinal goals were:
B = 2
C = 4
D = 1
F = 5
In every match, the goal difference is exactly 3. Since A, E, G and H won their quarterfinals, their quarterfinal goals must be 3 more than their opponent’s goals.
So possible quarterfinal scores are:
Against B: 5–2
Against C: 7–4
Against D: 4–1
Against F: 8–5
Now match these with totals:
A total = 8
E total = 7
G total = 12
H total = 10
E cannot score more than 7 in the quarterfinals, so E must have scored 7 in QF and then 0 in SF.
Thus E defeated C: 7–4.
Since A and G played the final, E must have lost to either A or G in the semifinal.
If E scored 0 in the semifinal, the winner scored 3.
A’s total is 8. So A can have:
QF = 5
SF = 3
Final = 0
Therefore A defeated B in QF: 5–2
A defeated E in SF: 3–0
Now remaining teams are G and H.
G and H must have defeated D and F in quarterfinals.
G total = 12 and H total = 10.
The only possible arrangement is:
G defeated D: 4–1
H defeated F: 8–5
Then semifinal:
G defeated H: 5–2
Final:
G defeated A: 3–0
Final arrangement:
Quarterfinals:
A beat B: 5–2
E beat C: 7–4
G beat D: 4–1
H beat F: 8–5
Semifinals:
A beat E: 3–0
G beat H: 5–2
Final:
G beat A: 3–0
B played against A in the quarterfinals.
Answer: C. A
Goals scored by finalists in semifinals = A scored 3 and G scored 5.
Answer: 8Highest goals in quarterfinals = H scored 8.
Answer: D. HIf A’s semifinal was the third match of the tournament, then A and E’s quarterfinals must have happened before it. So the second match could have involved E.
Answer: A. E
⚡ Brain teasers are not just about getting the right answer — they train you to think differently under pressure.
Stay consistent with your daily practice, challenge your assumptions, and keep sharpening your reasoning skills.
See you in tomorrow’s challenge!