ANS:A - 6

Structure of the Problem:

Each star has five numbers placed around it and a number in the center. The central number is determined by averaging the surrounding numbers.

Explanation of the Pattern:

The pattern involves calculating the central number as the average of the five numbers that surround it.

Step-by-Step Process:

1. Identify the Five Surrounding Numbers:
   • Look at the five numbers placed around the star.
2. Calculate the Average:
   • Add up all five surrounding numbers.
   • Divide the sum by 5 to get the average.
3. Determine the Central Number:
   • The central number should be equal to the calculated average of the surrounding numbers.

Example Walkthrough:

Let’s consider an example where the surrounding numbers are as follows:

• Surrounding Numbers: 4, 5, 7, 6, 8

Calculation:

1. Sum of the Surrounding Numbers: 4+5+7+6+8=304 + 5 + 7 + 6 + 8 = 304+5+7+6+8=30
2. Calculate the Average: Average=305=6\text{Average} = \frac{30}{5} = 6Average=530​=6
3. Central Number:
   • The central number is 6, which matches the calculated average.

Conclusion:

In this pattern, the number in the center of each star is determined by taking the average of the five numbers surrounding it. Therefore, the correct answer is "6," as it represents the average of the given numbers surrounding the star.