Difficulty: Easy
Correct Answer: 386
Explanation:
Introduction / Context:
This decreasing series should follow repeated division by 4. A single number not equal to the previous term divided by 4 is the misfit.
Given Data / Assumptions:
Concept / Approach:
Verify each transition with division by 4. The term reached by a failed division is the incorrect one.
Step-by-Step Solution:
24576 / 4 = 6144 ✓ 6144 / 4 = 1536 ✓ 1536 / 4 = 384 (but the series shows 386 ✗) Continuing correctly: 384 / 4 = 96 ✓; 96 / 4 = 24 ✓.
Verification / Alternative check:
Replacing 386 with 384 makes the entire chain a perfect /4 ladder.
Why Other Options Are Wrong:
96, 1536, 6144 all are exact quarters of their predecessors or produce correct successors by /4.
Common Pitfalls:
Looking for alternating operations when a single consistent division explains all transitions.
Final Answer:
386
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