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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
In a hockey tournament, each of the five teams – A, B, C, D and E – played one match with every other team. For a team, if the number of goals scored in a match is greater than that conceded, the match is a win. If the number of goals scored is equal to that conceded, it is a draw. If the number of goals scored is less than that conceded, it is a loss. For a win, a team gets 10 points, for a draw the team gets 4 points, while for a loss, the team loses 5 points. In addition, for every goal scored, a team gets 2 points and for every goal conceded, it loses one point. The team getting the highest number of total points wins the tournament.
Note: For example, A scored 3 goals against B while conceding 5 goals to it.
Question 1
How many points did team E score in the tournament?
a) 11
b) 14
c) 15
d) 17
Question 2
Which team won the tournament?
a) A
b) B
c) C
d) D
Question 3
What is the total number of draws in the tournament?
Question 4
How many teams have two wins each?
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✅ Answers & Explanations
1️⃣ How many points did Team E score in the tournament?
Team E lost to teams C and D, drew against team B and won against team A.
∴ The points scored = 10 + 4 − (2 × 5) = 4 points.
For goals = 15 × 2 − 19 × 1 = 11.
∴ Total = 4 + 11 = 15 points.
✅ Choice (C) – 15
2️⃣ Which team won the tournament?
Team A has conceded 16 goals.
16 × (−1) = −16 points
Team A scored 15 goals.
15 × 2 = 30 points
A has won against C and D.
Points won = 2 × 10 = 20 points
A loses two matches, points lost = 2 × 5 = 10 points
Number of points won by A:
= 30 + 20 − 16 − 10
= 24
In this way:
Total points for B
= (14 × 2) − (12 × 1) + 2(10) + (14) − 1(5)
= 25 − 12 + 20 + 4 − 5
= 35
Total points for C
= (16 × 2) − 16(1) + 2(10) − 2(5)
= 32 − 16 + 20 − 10
= 26
Total points for E
= (15 × 2) − (19 × 1) + (4 × 1) + (10 × 1) − (5 × 2)
= 30 − 19 + 4 + 10 − 10
= 15
Total points for D
= (15 × 2) − (12 × 1) + 2(10) − 2(5)
= 30 − 12 + 20 − 10
= 28
Therefore:
Team | Total Points |
|---|---|
A | 24 |
B | 35 |
C | 26 |
D | 28 |
E | 15 |
✅ Team B won the tournament – Choice (B)
3️⃣ What is the total number of draws in the tournament?
B has drawn with E. There is only one draw.
✅ Answer: 1
4️⃣ How many teams have two wins each?
A, B, C and D have 2 wins each.
Therefore, the number of teams having exactly two wins is:
✅ Answer: 4
⚡ 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!