In each of the following number series only one Is wrong . Find out the wrong number in the given number series
0.5 2 1 4 32 512 16384

Options

A. 1
B. 2
C. 4
D. 32

Answer

To find the wrong number in the series: 0.5, 2, 1, 4, 32, 512, 16384, we will analyze the pattern of the numbers step by step.

### Step 1: Identify the pattern
Let's observe the given series:
- 0.5
- 2
- 1
- 4
- 32
- 512
- 16384

### Step 2: Check the relationships between consecutive numbers
1. From 0.5 to 2:
- 0.5 × 4 = 2
2. From 2 to 1:
- 2 × 0.5 = 1
3. From 1 to 4:
- 1 × 4 = 4
4. From 4 to 32:
- 4 × 8 = 32
5. From 32 to 512:
- 32 × 16 = 512
6. From 512 to 16384:
- 512 × 32 = 16384

### Step 3: Analyze the multiplication factors
- The first multiplication is by 4 (0.5 to 2).
- The second multiplication is by 0.5 (2 to 1).
- The third multiplication is by 4 (1 to 4).
- The fourth multiplication is by 8 (4 to 32).
- The fifth multiplication is by 16 (32 to 512).
- The sixth multiplication is by 32 (512 to 16384).

### Step 4: Identify the inconsistency
Upon analyzing the multipliers:
- The pattern seems to be that after the first number, the multipliers are increasing powers of 2 (4, 0.5, 4, 8, 16, 32).
- However, the transition from 2 to 1 (using 0.5) breaks the pattern. Instead, we should have a multiplication that continues the pattern.

### Step 5: Determine the correct number
If we follow the pattern correctly, from 0.5, we should multiply by 4 to get 2, and then we should multiply by 2 to get 4 (not 1). Thus, the number that should be in place of 1 is actually 4.

### Conclusion
The wrong number in the series is **1**.