Find the wrong number in following number series.
`4," "11," "30," "67," "128," "221," "346`

Options

A. A)11
B. B)4
C. C)221
D. D)67

Answer

To find the wrong number in the given number series: `4, 11, 30, 67, 128, 221, 346`, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
Let's look for a pattern in the series. We will check if the numbers can be expressed in terms of cubes of integers added to a constant.

### Step 2: Calculate the terms using cubes
1. **First term**:
- \(1^3 + 3 = 1 + 3 = 4\)
2. **Second term**:
- \(2^3 + 3 = 8 + 3 = 11\)
3. **Third term**:
- \(3^3 + 3 = 27 + 3 = 30\)
4. **Fourth term**:
- \(4^3 + 3 = 64 + 3 = 67\)
5. **Fifth term**:
- \(5^3 + 3 = 125 + 3 = 128\)
6. **Sixth term**:
- \(6^3 + 3 = 216 + 3 = 219\)
7. **Seventh term**:
- \(7^3 + 3 = 343 + 3 = 346\)

### Step 3: Compare the calculated sixth term with the series
From our calculations, we find that the sixth term should be **219**, but in the series, it is given as **221**.

### Step 4: Identify the wrong term
Thus, the wrong term in the series is **221**. The correct sixth term should be **219**.

### Conclusion
The wrong number in the series is **221**.

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