Choose the set of numbers from the four alternatives which is similar to the given set.
Given set : (6, 13, 22)

Options

A. (16, 23, 30)
B. (10, 16, 28)
C. (11, 18, 27)
D. (13, 19, 27)

Explanation

To solve the problem of finding a set of numbers similar to the given set (6, 13, 22), we will analyze the pattern in the given set and then compare it with the options provided.

### Step-by-step Solution:

1. **Identify the Pattern in the Given Set:**
- The first number is 6.
- The second number is 13.
- The third number is 22.
- To find the differences:
- From 6 to 13: \( 13 - 6 = 7 \)
- From 13 to 22: \( 22 - 13 = 9 \)
- The pattern here is that we add 7 to get the second number and then add 9 to get the third number.

2. **Analyze Each Option:**
- We need to find a set of numbers that follows a similar pattern of adding a certain number to get the next number.

3. **Option 1: (16, 23, 30)**
- From 16 to 23: \( 23 - 16 = 7 \)
- From 23 to 30: \( 30 - 23 = 7 \)
- This option adds 7 twice, which does not match our pattern of adding 7 and then 9. So, option 1 is not similar.

4. **Option 2: (10, 16, 28)**
- From 10 to 16: \( 16 - 10 = 6 \)
- From 16 to 28: \( 28 - 16 = 12 \)
- This option adds 6 and then 12, which does not match our pattern. So, option 2 is not similar.

5. **Option 3: (11, 18, 27)**
- From 11 to 18: \( 18 - 11 = 7 \)
- From 18 to 27: \( 27 - 18 = 9 \)
- This option adds 7 and then 9, which matches our pattern. So, option 3 is similar.

6. **Option 4: (13, 19, 27)**
- From 13 to 19: \( 19 - 13 = 6 \)
- From 19 to 27: \( 27 - 19 = 8 \)
- This option adds 6 and then 8, which does not match our pattern. So, option 4 is not similar.

### Conclusion:
The set of numbers that is similar to the given set (6, 13, 22) is **Option 3: (11, 18, 27)**.