Choose the set of numbers from the four alternative sets, which is similar to the given set.
Given set : (6, 15, 28)

Options

A. (46, 56, 66)
B. (50, 59, 71)
C. (60, 67, 72)
D. (60, 69, 82)

Explanation

To solve the problem of finding a set of numbers similar to the given set (6, 15, 28), 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 Pattern in the Given Set:**
- The first number is 6.
- The second number is 15, which can be obtained by adding 9 to the first number (6 + 9 = 15).
- The third number is 28, which can be obtained by adding 22 to the first number (6 + 22 = 28).
- Therefore, the pattern can be summarized as:
- First number (x) = 6
- Second number = x + 9 = 15
- Third number = x + 22 = 28

2. **Apply the Same Logic to the Alternative Sets:**
- We need to check each alternative set to see if they follow the same pattern:
- Let’s denote the first number in each alternative set as y.

3. **Check Alternative Set A (40, 49, 62):**
- First number (y) = 40
- Second number = y + 9 = 40 + 9 = 49
- Third number = y + 22 = 40 + 22 = 62
- This set (40, 49, 62) follows the same pattern.

4. **Check Alternative Set B (50, 59, 72):**
- First number (y) = 50
- Second number = y + 9 = 50 + 9 = 59
- Third number = y + 22 = 50 + 22 = 72
- This set (50, 59, 72) also follows the same pattern.

5. **Check Alternative Set C (60, 67, 82):**
- First number (y) = 60
- Second number = y + 9 = 60 + 9 = 69
- Third number = y + 22 = 60 + 22 = 82
- This set (60, 67, 82) does not follow the pattern since the second number should be 69, not 67.

6. **Check Alternative Set D (60, 69, 82):**
- First number (y) = 60
- Second number = y + 9 = 60 + 9 = 69
- Third number = y + 22 = 60 + 22 = 82
- This set (60, 69, 82) follows the same pattern.

7. **Conclusion:**
- The sets that follow the same pattern as the given set (6, 15, 28) are:
- Alternative Set A: (40, 49, 62)
- Alternative Set B: (50, 59, 72)
- Alternative Set D: (60, 69, 82)
- However, since we are looking for the best alternative that matches the pattern, we can conclude that Alternative Set D is the most similar.

### Final Answer:
The set of numbers that is similar to the given set (6, 15, 28) is **Alternative Set D: (60, 69, 82)**.