Find the wrong number in the following number series?
8,127,1015,4059,8117,8116,4055

Options

A. 8
B. 4055
C. 127
D. 4059

Answer

To find the wrong number in the series: 8, 127, 1015, 4059, 8117, 8116, 4055, we will analyze the pattern step by step.

### Step 1: Identify the Pattern
Let's observe the series closely. We can see that the numbers are increasing significantly, which suggests that multiplication might be involved.

### Step 2: Analyze the First Transition
From 8 to 127:
- If we multiply 8 by 16, we get 128.
- Subtracting 1 gives us 127.

So, the operation can be represented as:
\[ 8 \times 16 - 1 = 127 \]

### Step 3: Analyze the Second Transition
From 127 to 1015:
- If we take half of 16 (which is 8) and multiply it by 127, we get:
\[ 127 \times 8 = 1016 \]
- Subtracting 1 gives us 1015.

So, the operation can be represented as:
\[ 127 \times 8 - 1 = 1015 \]

### Step 4: Analyze the Third Transition
From 1015 to 4059:
- If we take half of 8 (which is 4) and multiply it by 1015, we get:
\[ 1015 \times 4 = 4060 \]
- Subtracting 1 gives us 4059.

So, the operation can be represented as:
\[ 1015 \times 4 - 1 = 4059 \]

### Step 5: Analyze the Fourth Transition
From 4059 to 8117:
- If we take half of 4 (which is 2) and multiply it by 4059, we get:
\[ 4059 \times 2 = 8118 \]
- Subtracting 1 gives us 8117.

So, the operation can be represented as:
\[ 4059 \times 2 - 1 = 8117 \]

### Step 6: Analyze the Fifth Transition
From 8117 to 8116:
- If we take half of 2 (which is 1) and multiply it by 8117, we get:
\[ 8117 \times 1 = 8117 \]
- Subtracting 1 gives us 8116.

So, the operation can be represented as:
\[ 8117 \times 1 - 1 = 8116 \]

### Step 7: Analyze the Last Transition
From 8116 to 4055:
- If we take half of 1 (which is 0.5) and multiply it by 8116, we get:
\[ 8116 \times 0.5 = 4058 \]
- Subtracting 1 gives us 4057, not 4055.

So, the operation should be:
\[ 8116 \times 0.5 - 1 = 4057 \]

### Conclusion
The last number in the series should be 4057 instead of 4055. Therefore, the wrong number in the series is **4055**.