2,5,10,50,500,5000

Options

A. 0
B. 5
C. 10
D. 5000

Answer

To solve the problem of identifying the odd one out in the series: 2, 5, 10, 50, 500, 5000, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We start by examining the relationship between consecutive terms in the series.

- From 2 to 5:
- 2 * 2.5 = 5
- From 5 to 10:
- 5 * 2 = 10
- From 10 to 50:
- 10 * 5 = 50
- From 50 to 500:
- 50 * 10 = 500
- From 500 to 5000:
- 500 * 10 = 5000

### Step 2: Analyze the multiplication factor
Now, let’s summarize the multiplication factors:
- 2 to 5: Multiply by 2.5
- 5 to 10: Multiply by 2
- 10 to 50: Multiply by 5
- 50 to 500: Multiply by 10
- 500 to 5000: Multiply by 10

### Step 3: Identify the inconsistency
Notice that the multiplication factors are not consistent:
- The first two factors (2.5 and 2) are different from the last three (5, 10, and 10).

### Step 4: Determine the odd term
The last term, 5000, does not fit the pattern established by the previous terms. If we were to follow the pattern, the next term after 500 should be:
- 500 * 5 = 2500

### Conclusion
Thus, the odd one out in the series is **5000** because it does not follow the established multiplication pattern.

### Final Answer
The odd term in the series is **5000**.

---