In each of the following questions, five (or four) numbers are given. Out of these four (or three) are alike in some way but rest one is different. Choose the one which is different from the other.

Options

A. 29
B. 53
C. 85
D. 125

Answer

To solve the problem, we need to identify which number among the given options is different from the others based on a specific characteristic. Let's analyze the numbers step by step.

### Step-by-Step Solution:

1. **Identify the Numbers**: The numbers given are 29, 53, 85, and 125.

2. **Check for Common Properties**:
- First, we check if the numbers are odd or even.
- All numbers: 29, 53, 85, and 125 are odd numbers.

3. **Look for Unique Characteristics**:
- Next, we need to find a unique property among these numbers.
- We can check if any of these numbers is a perfect square or a perfect cube.

4. **Check for Perfect Cubes**:
- A perfect cube is a number that can be expressed as \( n^3 \) where \( n \) is an integer.
- Let's check each number:
- \( 29 \) is not a perfect cube.
- \( 53 \) is not a perfect cube.
- \( 85 \) is not a perfect cube.
- \( 125 = 5^3 \), which is a perfect cube.

5. **Conclusion**:
- Since 125 is the only number that is a perfect cube, it is different from the others.
- Therefore, the number that is different from the others is **125**.

### Final Answer:
The number that is different from the others is **125**.