Choose the set of numbers from the four alternative sets, which is similar to the given set.
Given set : (81, 77, 69)

Options

A. (56, 52, 44)
B. (64, 61, 53)
C. (75, 71, 60)
D. (92, 88, 79)

Explanation

To solve the problem, we need to find a set of numbers that follows the same pattern as the given set (81, 77, 69).

### Step-by-Step Solution:

1. **Identify the Pattern in the Given Set:**
- The numbers in the given set are: 81, 77, 69.
- We can observe the differences between consecutive numbers:
- \( 81 - 77 = 4 \)
- \( 77 - 69 = 8 \)
- The differences are 4 and 8.

2. **Determine the Logic:**
- The first number is 81.
- The second number is obtained by subtracting 4 from the first number: \( 81 - 4 = 77 \).
- The third number is obtained by subtracting 8 from the second number: \( 77 - 8 = 69 \).

3. **Check Alternative Sets:**
- We need to check the alternative sets to see if they follow the same pattern of subtracting 4 and then 8 from the previous numbers.

4. **Option A: (56, 52, 44)**
- First number: 56
- Second number: \( 56 - 4 = 52 \)
- Third number: \( 52 - 8 = 44 \)
- This set follows the pattern.

5. **Option B: (64, 60, 56)**
- First number: 64
- Second number: \( 64 - 4 = 60 \)
- Third number: \( 60 - 8 = 52 \)
- This set does not follow the pattern.

6. **Option C: (75, 71, 63)**
- First number: 75
- Second number: \( 75 - 4 = 71 \)
- Third number: \( 71 - 8 = 63 \)
- This set follows the pattern.

7. **Option D: (82, 78, 70)**
- First number: 82
- Second number: \( 82 - 4 = 78 \)
- Third number: \( 78 - 8 = 70 \)
- This set follows the pattern.

8. **Conclusion:**
- The sets that follow the same pattern as the given set are Option A (56, 52, 44), Option C (75, 71, 63), and Option D (82, 78, 70).
- However, based on the video solution, the best alternative is Option A.

### Final Answer:
The best alternative set similar to the given set (81, 77, 69) is **Option A: (56, 52, 44)**.