A series is given with one wrong term. Choose the wrong alternative from the given ones :
898, 906, 933, 996, 1122

Options

A. (a) 906
B. (b) 933
C. (c) 996
D. d) 1122

Explanation

To identify the wrong term in the series 898, 906, 933, 996, 1122, we will analyze the differences between the consecutive terms and look for a pattern.

### Step-by-Step Solution:

1. **Identify the Terms**: The given series is 898, 906, 933, 996, 1122.

2. **Calculate the Differences**:
- Difference between 906 and 898:
\[ 906 - 898 = 8 \]
- Difference between 933 and 906:
\[ 933 - 906 = 27 \]
- Difference between 996 and 933:
\[ 996 - 933 = 63 \]
- Difference between 1122 and 996:
\[ 1122 - 996 = 126 \]

3. **List the Differences**: The differences we calculated are:
- 8, 27, 63, 126

4. **Identify the Pattern**:
- Notice that:
- \(8 = 2^3\)
- \(27 = 3^3\)
- \(63\) is not a perfect cube, but if we consider \(4^3 = 64\), we see that it should have been 64 instead of 63.
- \(126\) is \(6^3 - 6\), but it does not fit the cube pattern.

5. **Determine the Wrong Term**:
- Since the difference between 933 and 996 should have been 64 (which is \(4^3\)), the term 996 is incorrect.
- The correct term should be \(933 + 64 = 997\).

6. **Conclusion**: The wrong term in the series is **996**. The correct term should be **997**.

### Final Answer:
The wrong term is **996**.

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