Identify the wrong term from the following series.
1, 8,27, 125, 342,1331

Options

A. 1331
B. 27
C. 342
D. 125

Answer

To identify the wrong term in the series 1, 8, 27, 125, 342, 1331, we can analyze the pattern of the series.

### Step-by-Step Solution:

1. **List the Given Series**:
The series provided is:
\[ 1, 8, 27, 125, 342, 1331 \]

2. **Identify the Pattern**:
We can observe that these numbers are related to cubes of integers:
- \(1 = 1^3\)
- \(8 = 2^3\)
- \(27 = 3^3\)
- \(125 = 5^3\)
- \(1331 = 11^3\)

3. **Check Each Term**:
- The first term is \(1^3 = 1\) (correct)
- The second term is \(2^3 = 8\) (correct)
- The third term is \(3^3 = 27\) (correct)
- The fourth term is \(5^3 = 125\) (correct)
- The fifth term is \(342\) (check if it is a cube)
- The sixth term is \(11^3 = 1331\) (correct)

4. **Analyze the Fifth Term**:
Now, let's check if \(342\) can be expressed as a cube of any integer:
- The cube root of \(342\) is approximately \(7.0\), which is not an integer. Hence, \(342\) is not a perfect cube.

5. **Conclusion**:
Since all other terms are perfect cubes except for \(342\), we can conclude that \(342\) is the wrong term in the series.

### Final Answer:
The wrong term in the series is **342**.