Directions: Find the wrong number in the series. 2880, 480, 92, 24, 8, 4, 4

### Concept & Logic The sequence rapidly descends and then plateaus. This usually indicates division by a decreasing integer or sequence. ### Step-by-Step Solution 1. Let's find the division ratio between consecutive terms, starting from the left: - $2880 / 480 = 6$ (So the rule is divide by 6) 2. Let's test the end of the sequence to confirm: - $8 / 4 = 2$ (Rule is divide by 2) - $4 / 4 = 1$ (Rule is divide by 1) 3. The pattern of divisors is clearly $6, 5, 4, 3, 2, 1$. 4. Let's apply this division pattern from the beginning: - $2880 / 6 = 480$ - $480 / 5 = 96$. (The sequence has 92 here, making it the wrong number). 5. Verify the next steps using the corrected number $96$: - $96 / 4 = 24$ (Matches) - $24 / 3 = 8$ (Matches) ### Exam Strategy & Shortcut Working from right to left (the smaller numbers) is often faster. $4 \times 1 = 4$, $4 \times 2 = 8$, $8 \times 3 = 24$, $24 \times 4 = 96$. You hit the wrong number ($92$) much faster without doing mental division on $2880$. ### Common Pitfall Trying to find subtraction patterns for numbers scaling down this dramatically, which wastes time. ### Final Answer Therefore, the correct answer is **92**.