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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
A, B, C, D, E, F, and G are seven co-founders working across multiple early-stage startups. They collaborate in pairs on three business functions—Product Development, Finance & Operations, and Growth & Marketing. Each possible pair works on exactly one function for exactly 1 project. Each co-founder is involved in each function in at least 1 project and at most 4 projects.
Partial information about the number of projects each co-founder handles in Product Development, Finance & Operations, and Growth & Marketing is provided in the table below.
The following additional information is known:
(i) A, B, C, and D are paired to work on Product Development projects.
(ii) A, D, and F work on Finance & Operations projects with E.
(iii) C, F, and G are paired to work on Growth & Marketing projects.
(iv) Every co-founder who works with A on Finance & Operations also works with B on Growth & Marketing, and every co-founder who works with B on Growth & Marketing also works with A on Finance & Operations.
(v) Every co-founder who works with B on Finance & Operations also works with A on Growth & Marketing, and every co-founder who works with A on Growth & Marketing also works with B on Finance & Operations.
Question 1
Which co-founder works with G on Product Development projects?
D
E
B & D
A, E & D
Question 2
For how many projects does co-founder E work on Finance & Operations?
Question 3
How many projects were done in total across the three business functions?
Question 4
Which of the following statements is/are true?
I. B works on 1 Finance & Operations project.
II. F works on 3 Growth & Marketing projects.
I only
II only
Both I & II
Neither I nor II
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✅ Answers & Explanations
Final Arrangement:
Co-founder | Product Development | Finance & Operations | Growth & Marketing |
|---|---|---|---|
A | 3 | 1 | 2 |
B | 3 | 2 | 1 |
C | 3 | 1 | 2 |
D | 4 | 1 | 1 |
E | 1 | 4 | 1 |
F | 1 | 2 | 3 |
G | 1 | 1 | 4 |
Set 1
From condition (i), A, B, C, and D are paired on Product Development projects.
So:
A-B = Product
A-C = Product
A-D = Product
B-C = Product
B-D = Product
C-D = Product
Since A already has 3 Product projects as per the table, A cannot have any more Product projects.
From condition (ii), A, D, and F work on Finance & Operations projects with E.
So:
A-E = Finance & Operations
D-E = Finance & Operations
F-E = Finance & Operations
Since A has only 1 Finance & Operations project, A-E is A’s only Finance project.
Therefore, A-F and A-G must be Growth & Marketing.
Now, condition (v) says:
Everyone who works with A on Growth & Marketing also works with B on Finance & Operations.
A works with F and G on Growth & Marketing.
So:
B-F = Finance & Operations
B-G = Finance & Operations
Now, condition (iv) says:
Everyone who works with A on Finance & Operations also works with B on Growth & Marketing.
A works with E on Finance & Operations.
So:
B-E = Growth & Marketing
From condition (iii), C, F, and G are paired on Growth & Marketing projects.
So:
C-F = Growth & Marketing
C-G = Growth & Marketing
F-G = Growth & Marketing
C already has 2 Growth & Marketing projects as per the table, so C-E cannot be Growth. Also, C already works with A, B, and D on Product. Therefore:
C-E = Finance & Operations
Now, G has only 1 Product Development project as per the table.
Among remaining possibilities, G’s Product project is with E.
So:
E-G = Product Development
Then the remaining pairs are:
D-F and D-G.
D already has 3 Product projects with A, B, and C. To satisfy the final count, D-F becomes Product Development and D-G becomes Growth & Marketing.
So:
D-F = Product Development
D-G = Growth & Marketing
Final Answers
Question 1
Which co-founder works with G on Product Development projects?
G works with E on Product Development.
Answer: 2) E
Question 2
For how many projects does co-founder E work on Finance & Operations?
E works on Finance & Operations with:
A
D
F
C
So, E works on 4 Finance & Operations projects.
Answer: 4
Question 3
How many projects were done in total across the three business functions?
There are 7 co-founders.
Total pairs = 7C2 = 21
Each pair works on exactly one project.
Answer: 21
Question 4
Which of the following statements is/are true?
I. B works on 1 Finance & Operations project.
B works on Finance & Operations with F and G.
So B works on 2 Finance & Operations projects.
Statement I is false.
II. F works on 3 Growth & Marketing projects.
F works on Growth & Marketing with A, C, and G.
So F works on 3 Growth & Marketing projects.
Statement II is true.
Answer: 2) II only
⚡ 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!