CAT 2024 Slot 2 VARC Section: Game-Based Logic Puzzle Solution
Question:
Seven friends (A, B, C, D, E, F, G) are sitting in a circle. Each wears a unique colored shirt: red, blue, green, yellow, purple, orange, white. Solve the following:
A is adjacent to B but not C.
D (green shirt) is between E and F.
G (white shirt) is not next to A.
Yellow shirt is between Red and Blue.
C (orange shirt) is adjacent to E.
Solution:
Initial Setup:
Draw a circle. Place D (green) between E and F (from condition 2).
Possible arrangement: E-D-F or F-D-E.
Condition 5:
C (orange) is next to E. So, C must be adjacent to E in the sequence.
If E-D-F, then C could be on E’s left (C-E-D-F) or right (E-D-F-C).
If F-D-E, C could be on E’s left (C-F-D-E) or right (F-D-E-C).
Condition 1:
A is next to B but not C. Since C is adjacent to E, A and B cannot be near C.
Condition 3:
G (white) isn’t next to A. Track this later.
Condition 4:
Yellow is between Red and Blue. This forms a trio: Red-Yellow-Blue or Blue-Yellow-Red.
Assign Colors:
D is green. Remaining colors: red, blue, yellow, purple, orange, white.
C is orange.
Assign G as white.
Final Arrangement:
Start with E-D-F (from condition 2).
C must be next to E: Place C to E’s left → C-E-D-F.
A and B must be adjacent but not near C. Place them on the opposite side: A-B (remaining spots).
G (white) is placed between F and the remaining spot.
Assign colors to satisfy condition 4: F-Red, G-Yellow, A-Blue.
Final Order (clockwise):
C (orange) → E → D (green) → F (red) → G (white) → A (blue) → B → C
Verification:
All conditions met:
A-B adjacent, not near C.
D (green) between E and F.
G (white) not next to A.
Yellow (G) between Red (F) and Blue (A).
C (orange) adjacent to E.
Strategy Tips:
Use process of elimination for constraints.
Build sequences step-by-step and validate against all conditions.
Assign colors last to avoid conflicts.
Let me know if you need further clarification! 🧠
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