Difficulty: Medium
Correct Answer: 92
Explanation:
Introduction / Context:
Odd-man-out tasks often rely on a clean rule with one deliberate violation. Here the numbers suggest repeated division by descending integers: ÷6, ÷5, ÷4, ÷3, ÷2, ÷1. We inspect each step to find the mismatch.
Given Data / Assumptions:
Concept / Approach:
Check each step numerically. If the pattern holds, 2880 ÷ 6 = 480, 480 ÷ 5 = 96 (not 92), 96 ÷ 4 = 24, 24 ÷ 3 = 8, 8 ÷ 2 = 4. The only break is at the second division.
Step-by-Step Solution:
2880 ÷ 6 = 480 ✔480 ÷ 5 = 96 ✖ (given 92)96 ÷ 4 = 24 ✔24 ÷ 3 = 8 ✔8 ÷ 2 = 4 ✔
Verification / Alternative check:
If 92 were replaced with 96, the chain becomes perfectly consistent with descending divisors 6, 5, 4, 3, 2, 1 (ending at 4, then 4 ÷ 1 = 4). The provided tail also includes 2, which may indicate an extra halving, but the unique clear error is 92.
Why Other Options Are Wrong:
2880, 480, 24, and 8 fit the simple division-by-integer ladder; only 92 disrupts the exact step size.
Common Pitfalls:
Overlooking a single incorrect intermediate and focusing on the tail end; verify each division explicitly.
Final Answer:
92
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