In partnership with
📌 Section 1 is Logical reasoning specially designed for CAT
Stop Paying for 10 Tools. One AI Does It All.
Most e-commerce sellers are running their store across 6 to 10 separate tools — and spending more time managing software than growing their business. StoreClaw replaces your entire stack with one autonomous AI engine that monitors competitors, optimizes listings, automates marketing, and tracks real profit across Shopify, Amazon, and beyond.
It doesn't wait for you to ask. It runs 24/7 in the background, so you wake up to a full dashboard instead of a list of things you forgot to check.
Connect your store, and StoreClaw gets to work — no prompts, no complex setup, no six-app stack.
Free to start. No credit card required.
SET 1 — 🔍 CAT Level
Four teams, A, B, C and D, played in a football tournament, in which each team played against each of the other three teams exactly twice. In any match, the winner was awarded three points, the loser, no points and, in case of a tie, the two teams were awarded one point each. Further, it is also known that for any two teams, the result of the first match that they played against each other was not the same as that of the second match.
The following table provides the points that each team scored at the end of the tournament:
Team | Points |
|---|---|
A | 11 |
B | 5 |
C | 10 |
D | 6 |
Question 1
C drew a match against which of the following teams?
A. A
B. B
C. D
D. Either A or B
Question 2
B won a match against which of the following teams?
A. A
B. C
C. D
D. None of the above
Question 3
In the first half of the tournament, every team happened to have played against each of the other teams exactly once. At this point in the tournament, the total number of points scored by B was greater than that scored by C, which, in turn, was greater than that scored by D, which, in turn, was greater than that scored by A.
How many matches did D draw in the first half of the tournament?
Question 4
In the first half of the tournament, every team happened to have played against each of the other teams exactly once. At this point in the tournament, the total number of points scored by B was greater than that scored by C, which, in turn, was greater than that scored by D, which, in turn, was greater than that scored by A.
What best can be said about the result of the match played between B and C in the first half of the tournament?
A. B won the match.
B. C won the match.
C. The match was drawn.
D. The match was won by either B or C, but it was not a draw.
My VARC Newsletter for CAT Aspirants
📚 Serious about improving your CAT VARC score?
I run a free daily newsletter designed specifically for CAT aspirants who want consistent improvement in Verbal Ability & Reading Comprehension.
The newsletter includes:
• High-utility vocabulary, Idioms & phrases
• CAT-level Para Jumbles & Odd Sentence Out
• Reading Comprehension practice
• Fill in the blanks & verbal reasoning questions
• Practical explanations and usage examples
Perfect for students struggling with VARC, first-time CAT takers, and working professionals preparing alongside jobs.
Just 10 minutes of daily focused practice can create a huge difference over time.
Join Here: https://vocabwithease.beehiiv.com/
Learn How to Stay Visible in the AI Era
AI is changing how customers discover businesses. If your SEO strategy is built for yesterday's search, your visibility is already slipping. Learn how to optimize your content for today’s AI search results with BELAY’s latest report..
✅ Answers & Explanations
Given that for any two teams, the result of the first match was not the same as that of the second match. Hence, for any team, there cannot be more than 3 wins, 3 draws and 3 losses (because if there are more than 3 matches with the same result, then that team would have the same result against at least one team).
A scored 11 points. This is possible if A won 3 matches, drew 2 matches and lost 1 match.
B scored 5 points. This is possible if B won 1 match, drew 2 matches and lost 3 matches (B could not have drawn 5 matches because in that case B would have drawn both the matches it played against two teams).
C scored 10 points. This is possible if C won 3 matches, drew 1 match and lost 2 matches.
D scored 6 points. This is possible only if D won 1 match, drew 3 matches and lost 2 matches (D could not have won 2 matches and lost 4 matches because it must have lost both matches against one team).
Since A has three wins, A must have won one match each against B, C and D.
Since C has three wins, C must have won one match each against A, B and D. Hence, in the two matches played between A and C, A won one match and C won one match.
Since A lost one match against C, it must have drawn the two matches against B and D.
Since B lost 3 matches, B must have lost one match each against A, C and D.
Since B lost against D, D's one win is against B. It would have drawn one match against each of A, B and C. D lost against C and A.
Hence, D drew one match against C. Hence, C must have lost against B.
The following table provides the winner of each match in the tournament. A '-' sign indicates a draw.
Pair | Match 1 | Match 2 |
|---|---|---|
A vs B | A | Draw |
A vs C | A | C |
A vs D | A | Draw |
B vs C | C | B |
B vs D | D | Draw |
C vs D | Draw | C |
The final win-draw-loss records are:
Team | Wins | Draws | Losses | Points |
|---|---|---|---|---|
A | 3 | 2 | 1 | 11 |
B | 1 | 2 | 3 | 5 |
C | 3 | 1 | 2 | 10 |
D | 1 | 3 | 2 | 6 |
Question 1
C drew a match against which team?
C had only one drawn match in the entire tournament.
From the table, C’s results were:
Against A: one win and one loss
Against B: one win and one loss
Against D: one win and one draw
Therefore, C drew against D.
Answer: Option C — D
Question 2
B won a match against which team?
B had only one win in the tournament.
From the table:
Against A: one loss and one draw
Against C: one win and one loss
Against D: one loss and one draw
Therefore, B’s only win was against C.
Answer: Option B — C
Question 3
In the first half, the points were in the order:
B>C>D>AB>C>D>AB>C>D>A
How many matches did D draw in the first half?
Each team played three matches in the first half, one against every other team.
The possible results involving D were:
A–D: A won or draw
B–D: D won or draw
C–D: C won or draw
We need the first-half points to satisfy:
B>C>D>AB>C>D>AB>C>D>A
The only possible first-half arrangement is:
Match | Result |
|---|---|
A–B | Draw |
A–C | C won |
A–D | Draw |
B–C | B won |
B–D | Draw |
C–D | Draw |
Thus, the first-half points were:
Team | Results | Points |
|---|---|---|
B | Draw, win, draw | 5 |
C | Win, loss, draw | 4 |
D | Draw, draw, draw | 3 |
A | Draw, loss, draw | 2 |
Therefore:
5>4>3>25>4>3>25>4>3>2
D drew all three matches in the first half.
Answer: 3 matches
Question 4
What can be said about the match between B and C in the first half?
Between B and C, the two tournament results were:
B won one match
C won one match
We need to identify which result occurred in the first half.
Suppose C had defeated B in the first half. Then B could score at most:
1 point against A, because B either lost to A or drew
0 points against C
1 point against D, because B either lost to D or drew
So B could score at most:
1+0+1=21+0+1=21+0+1=2
But B had to finish above C, D and A in the first-half standings. With only 2 points, it would be impossible for three teams to have distinct lower scores.
Therefore, B must have defeated C in the first half.
This also fits the unique first-half scores:
B=5,C=4,D=3,A=2B=5,\quad C=4,\quad D=3,\quad A=2B=5,C=4,D=3,A=2
Answer: Option A — B won the match
Final Answers
C drew against D — Option C
B won against C — Option B
D drew 3 matches
B defeated C — Option A
⚡ 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!