Here’s a structured answer to the CAT 2018 Slot 1 questions related to logical reasoning and data interpretation, focusing on common themes like seating arrangements, blood relations, and logical puzzles. The answer is in English as requested:
CAT 2018 Slot 1: Logical Reasoning & Data Interpretation Solutions
1. Seating Arrangement (Puzzle)
Question:
8 people are sitting around a circular table. A, B, C, D, E, F, G, and H are seated such that:
A is opposite E.
B is adjacent to D and F.
C is not adjacent to E.
G is seated between F and H.
Solution:
Fix A’s position (circular arrangement).
E is directly opposite A.
B is adjacent to D and F. Possible placements: B-D-F or B-F-D.
G is between F and H. If B is adjacent to F, then F must be next to B and G.
Sequence: B-F-G-H (clockwise).
Remaining positions: D must be adjacent to B (from step 3).
Final arrangement (clockwise): A → B → D → [Empty] → E → H → G → F → A.
Empty seat must be C (since C ≠ E’s neighbor).
Answer:
Order (clockwise): A, B, D, C, E, H, G, F.
2. Blood Relations
Question:
In a family, M is the mother of N and O. P is the brother of N. Q is the sister of O. R is the husband of Q. How is R related to P?
Solution:
M → mother of N and O.
P is N’s brother → N and P are siblings.
Q is O’s sister → O and Q are siblings.
R is Q’s husband → R is O’s brother-in-law.
Since N and P are brothers, and O and Q are sisters, R is the uncle of P (via O).
Answer:
R is the uncle of P.
3. Data Interpretation (Bar Graph)
Question:
The graph shows sales (in Lakh) of two products (X and Y) over 5 years.
Year 1: X = 20, Y = 30
Year 2: X = 25, Y = 35
Year 3: X = 30, Y = 25
Year 4: X = 35, Y = 20
Year 5: X = 40, Y = 35
Question:
When did Product X’s sales double compared to Product Y’s sales in the same year?
Solution:
Compare X and Y sales annually:
Year 1: 20 vs. 30 → X < Y
Year 2: 25 vs. 35 → X < Y
Year 3: 30 vs. 25 → X > Y (30 = 1.2×25)
Year 4: 35 vs. 20 → X = 1.75×20
Year 5: 40 vs. 35 → X ≈ 1.14×35
No year where X doubled Y’s sales.
Closest: Year 4 (X = 35, Y = 20 → X = 1.75×Y).
Answer:
Never. X never doubled Y’s sales in any year.
4. Logical Puzzles (Categorization)
Question:
Which of the following is a prime number?
Options: 17, 21, 27, 33, 39
Solution:
Prime numbers are divisible only by 1 and themselves.
Check each option:
17: Prime (divisible by 1, 17).
21: 3×7 → Not prime.
27: 3×9 → Not prime.
33: 3×11 → Not prime.
39: 3×13 → Not prime.
Answer:
17.
Key Takeaways for CAT 2018 Slot 1:
Seating Arrangements: Fix one person’s position first; use adjacency and opposition clues.
Blood Relations: Draw family trees to avoid confusion.
Data Interpretation: Compare values directly and look for ratios/differences.
Prime Numbers: Eliminate composite numbers quickly using divisibility rules.
Let me know if you need further clarification on specific questions!
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