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.

Difficulty: Easy

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

More Questions from Number Series

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion