PREVIOUSLY ASKED IN:
WBPSC Miscellaneous Preliminary 2023
Answer
None of the above
Explanation
The question merely states that 12 oranges are distributed into 5 baskets without specifying any constraints (like distributing them as evenly as possible). Thus, the exact distribution cannot be deduced. It could be (3,3,2,2,2) matching option A, or (4,2,2,2,2) matching option C, or even (12,0,0,0,0). Since no specific configuration is logically guaranteed, we must choose 'None of the above'. Note that option B describes 6 baskets in total (3+2+1), which contradicts the premise.
Key Points
- > This is a logical reasoning problem demonstrating insufficient data for a definitive conclusion.
- > Option A: (3×2) + (2×3) = 12 oranges, 5 baskets (Possible).
- > Option B: (2×3) + (1×2) + (4×1) = 12 oranges, 6 baskets (Impossible).
- > Option C: (2×4) + (4×1) = 12 oranges, 5 baskets (Possible).
- > Because both A and C are merely 'possible' but not 'certain', neither can be the correct deductive answer.
- > By Pigeonhole Principle, at least one basket MUST contain ceil(12/5) = 3 oranges.
- > Without stricter conditions, option D is the only logically sound choice.
Additional Information
Distribution Analysis
| Option | Total Oranges | Total Baskets | Status |
|---|---|---|---|
| A | 6 + 6 = 12 | 2 + 3 = 5 | Possible |
| B | 6 + 2 + 4 = 12 | 3 + 2 + 1 = 6 | Impossible |
| C | 8 + 4 = 12 | 4 + 1 = 5 | Possible |
| D | - | - | Logically Correct |
Memory Tips
- Ambiguity Rule: In reasoning, if multiple scenarios are equally possible from the given premise, no single specific scenario can be declared as the absolute truth.