2, 1, 1, 2, 8, 32, 1024

Options

A. 32
B. 2
C. 8
D. 1

Explanation

To find the odd one out in the series: 2, 1, 1, 2, 8, 32, 1024, we will analyze the pattern of the numbers step by step.

### Step 1: Identify the pattern
Let's look at the series: 2, 1, 1, 2, 8, 32, 1024.

### Step 2: Analyze the transitions
1. From 2 to 1: This can be seen as multiplying by 0.5 (2 * 0.5 = 1).
2. From 1 to 1: This is multiplying by 1 (1 * 1 = 1).
3. From 1 to 2: This is multiplying by 2 (1 * 2 = 2).
4. From 2 to 8: This is multiplying by 4 (2 * 4 = 8).
5. From 8 to 32: This is multiplying by 4 (8 * 4 = 32).
6. From 32 to 1024: This is multiplying by 32 (32 * 32 = 1024).

### Step 3: Identify the inconsistency
Now, let's summarize the multipliers:
- 2 to 1: ×0.5
- 1 to 1: ×1
- 1 to 2: ×2
- 2 to 8: ×4
- 8 to 32: ×4
- 32 to 1024: ×32

Notice that the transition from 8 to 32 is consistent (×4), but the transition from 32 to 1024 is not consistent with the previous pattern.

### Step 4: Determine the correct number
If we follow the pattern, after 8, we should have:
- 8 multiplied by 8 should give us 64 (8 * 8 = 64).

### Conclusion
Thus, the odd one out in the series is **32**. The correct number should be **64** instead of **32**.

### Final Answer
The odd one out is **32**.