Number series – divide by 6, then 5, then 4, then 3, then 2: 5760, 960, ?, 48, 16, 8 Fill the missing term by continuing the descending divisors.
Verbal Reasoning
Number Series
Difficulty: Easy
Choose an option
Answer
Correct Answer: 192
Explanation
Introduction / Context:Successive division by a descending sequence of integers (6, 5, 4, 3, 2, …) is a staple pattern. Once identified, the gap fills uniquely.
Given Data / Assumptions:
- 5760 → 960 → ? → 48 → 16 → 8.
- Assumed divisors: 6, 5, 4, 3, 2 in order.
Concept / Approach:Check 5760/6 = 960. Therefore the next division should be by 5; continue by 4, by 3, and by 2.
Step-by-Step Solution:
Step 1: 5760 / 6 = 960.Step 2 (missing term): 960 / 5 = 192.Step 3: 192 / 4 = 48.Step 4: 48 / 3 = 16.Step 5: 16 / 2 = 8.Verification / Alternative check:The neat integer results at each step confirm the intended pattern.
Why Other Options Are Wrong:
120, 160, 240 would spoil later exact divisions (192/4=48 is required by the series).Common Pitfalls:Assuming constant ratio; the ratio changes with each step because the divisor changes.
Final Answer:192