Choose the set of numbers from the four alternative sets, which is similar to the given set.
Given set : (224, 15, 4)

Options

A. (8,3, 2)
B. (10,6,5)
C. (65, 8, 3)
D. (95, 24,5)

Explanation

To solve the problem of finding a set of numbers similar to the given set (224, 15, 4), we will analyze the relationships between the numbers in the given set and then apply the same logic to the alternative sets.

### Step-by-Step Solution:

1. **Identify the relationship in the given set (224, 15, 4)**:
- Notice that 224 can be expressed as \(15^2 - 1\).
- The middle term is 15, and the last term is 4, which can be expressed as \(4 = 5 - 1\).

2. **Analyze the first term (224)**:
- We see that \(15^2 = 225\) and \(225 - 1 = 224\). This suggests that the first number in the alternative set should be related to the square of the middle number minus 1.

3. **Analyze the middle term (15)**:
- The middle term is 15, which is simply taken as it is.

4. **Analyze the last term (4)**:
- The last term is derived from the middle term. We see that \(5 - 1 = 4\).

5. **Now, check the alternative sets**:
- We will apply the same logic to each alternative set and see if they satisfy the conditions derived from the given set.

6. **Check each alternative set**:
- **Set A**: (8, 3, 2)
- Middle term: \(3^2 = 9\) and \(9 - 1 = 8\) (matches first term).
- Last term: \(2 = 3 - 1\) (matches last term).
- This set is similar.
- **Set B**: (15, 225, 1)
- Middle term: \(15^2 = 225\) and \(225 - 1 = 224\) (does not match first term).
- **Set C**: (36, 6, 5)
- Middle term: \(6^2 = 36\) and \(36 - 1 = 35\) (does not match first term).
- **Set D**: (64, 8, 7)
- Middle term: \(8^2 = 64\) and \(64 - 1 = 63\) (does not match first term).

7. **Conclusion**:
- The only set that satisfies the conditions derived from the given set is **Set A (8, 3, 2)**.

### Final Answer:
The set of numbers similar to the given set (224, 15, 4) is **Set A (8, 3, 2)**.