Odd term in a descending-division pattern: 46080, 3840, 384, 48, 24, 2, 1

Difficulty: Medium

Correct Answer: 24

Explanation:


Introduction / Context:
Some series apply successive divisions by decreasing even numbers (e.g., ÷12, ÷10, ÷8, ÷6, ÷4, ÷2). A single mis-division yields a standout term. Here we test that descending-divisor hypothesis.


Given Data / Assumptions:

  • Sequence: 46080, 3840, 384, 48, 24, 2, 1.
  • Suspected divisors: 12, 10, 8, 6, 4, 2 in order.


Concept / Approach:
Check each step against the intended divisor chain. Where the quotient disagrees, the respective term is wrong. After correction, later terms should follow smoothly.


Step-by-Step Solution:
46080 ÷ 12 = 3840 ✓3840 ÷ 10 = 384 ✓384 ÷ 8 = 48 ✓Next should be 48 ÷ 6 = 8 (but given: 24 ✗)Then 8 ÷ 4 = 2, and 2 ÷ 2 = 1 ✓


Verification / Alternative check:
Once 24 is replaced by 8, the chain becomes perfectly coherent with divisors 12, 10, 8, 6, 4, 2. The final terms (2, 1) already match the intended finishing steps.


Why Other Options Are Wrong:

  • 384 / 2 / 1 all fit exactly with the nominated divisors. They are not the anomalies.


Common Pitfalls:

  • Assuming constant ratios; here the ratio changes in a controlled descending manner.


Final Answer:
24

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