Choose the set of numbers from the four alternative sets, which is similar to the given set.
Given set : (32, 24, 8)

Options

A. (26, 32, 42)
B. (34, 24, 14)
C. (24, 16,0)
D. (42, 34, 16)

Explanation

To solve the problem, we need to identify a set of numbers that follows the same pattern as the given set (32, 24, 8).

### Step-by-Step Solution:

1. **Identify the Pattern in the Given Set:**
- The given set is (32, 24, 8).
- Notice that 24 is obtained by subtracting 8 from 32:
\[ 32 - 8 = 24 \]
- Similarly, 8 is obtained by subtracting 16 from 24:
\[ 24 - 16 = 8 \]
- Therefore, the pattern can be summarized as:
- From 32 to 24, we subtract 8.
- From 24 to 8, we subtract 16.

2. **Formulate the Logic:**
- The logic can be expressed as:
- First number - 8 = Second number
- Second number - 16 = Third number

3. **Check Each Option:**
- We need to check which of the given options follows the same pattern.
- Let's analyze each option one by one.

4. **Option A: (34, 26, 18)**
- Check if \(34 - 8 = 26\) (True)
- Check if \(26 - 16 = 10\) (False, should be 18)
- This option does not follow the pattern.

5. **Option B: (34, 24, 16)**
- Check if \(34 - 8 = 26\) (False, should be 24)
- This option does not follow the pattern.

6. **Option C: (24, 16, 0)**
- Check if \(24 - 8 = 16\) (True)
- Check if \(16 - 16 = 0\) (True)
- This option follows the pattern.

7. **Option D: (42, 34, 26)**
- Check if \(42 - 8 = 34\) (True)
- Check if \(34 - 16 = 18\) (False, should be 26)
- This option does not follow the pattern.

8. **Conclusion:**
- The only option that follows the same pattern as the given set (32, 24, 8) is **Option C: (24, 16, 0)**.

### Final Answer:
The set of numbers that is similar to the given set (32, 24, 8) is **(24, 16, 0)**.