Choose the set of numbers from the four alternatives which is similar to the given set.
Given set : (12,20,4)

Options

A. (5, 10,15)
B. (13, 18, 5)
C. (17, 27,5)
D. (20, 15, 25)

Explanation

To solve the problem, we need to find a set of numbers that is similar to the given set (12, 20, 4). We will do this by analyzing the given set and looking for a pattern.

### Step-by-step Solution:

1. **Identify the Given Set**: The given set is (12, 20, 4).

2. **Calculate the Sum of the Given Set**:
\[ 12 + 20 + 4 = 36 \]
So, the sum of the numbers in the given set is 36.

3. **Examine the Options**: We need to check each option to see if the sum of the numbers in any of the options equals 36.

4. **Check Each Option**:
- **Option 1**: (5, 10, 15)
\[ 5 + 10 + 15 = 30 \quad (\text{Not equal to } 36) \]
- **Option 2**: (13, 18, 5)
\[ 13 + 18 + 5 = 36 \quad (\text{Equal to } 36) \]
- **Option 3**: (17, 27, 5)
\[ 17 + 27 + 5 = 49 \quad (\text{Not equal to } 36) \]
- **Option 4**: (20, 15, 25)
\[ 20 + 15 + 25 = 60 \quad (\text{Not equal to } 36) \]

5. **Conclusion**: The only option that has a sum equal to 36 is **Option 2**: (13, 18, 5). Therefore, this set is similar to the given set (12, 20, 4).

### Final Answer:
The correct answer is **Option 2: (13, 18, 5)**.

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