Numbers in the following series follow some rule. Find the missing term.
336, 210, 120 ? 24, 6, 0

Options

A. 110
B. 70
C. 60
D. 50

Answer

To find the missing term in the series 336, 210, 120, ?, 24, 6, 0, we need to identify the pattern in the sequence. Let's analyze the terms step by step.

### Step 1: Identify the pattern
We observe that the series is decreasing. To find the missing term, we will analyze the terms from the right side of the series, as it might reveal a clearer pattern.

### Step 2: Write down the known terms
The known terms from the right side are:
- 0
- 6
- 24

### Step 3: Analyze the relationship between the terms
We can express the known terms in a factorial multiplication format:
- 0 = 0 × 1
- 6 = 1 × 2 × 3
- 24 = 2 × 3 × 4

### Step 4: Determine the missing term
Following the pattern, we can see that the next term should also follow the same multiplication pattern. The term before 24 should be:
- ? = 3 × 4 × 5

Calculating this gives:
- 3 × 4 = 12
- 12 × 5 = 60

### Step 5: Verify the previous terms
Now, let's verify the previous terms:
- 120 = 4 × 5 × 6
- 210 = 5 × 6 × 7
- 336 = 6 × 7 × 8

This confirms that the pattern is consistent.

### Conclusion
Thus, the missing term in the series is **60**.