5, 7, 74
10, 9, 184

Options

A. 184
B. 9
C. 10
D. 74

Explanation

To solve the problem, we need to analyze the two series provided:

1. **First Series**: 5, 7, 74
2. **Second Series**: 10, 9, 184

### Step 1: Analyze the First Series (5, 7, 74)

- We start by looking at the first two numbers: 5 and 7.
- We calculate the square of each number:
- \(5^2 = 25\)
- \(7^2 = 49\)

- Next, we add these squares together:
- \(25 + 49 = 74\)

- The third number in the series is indeed the sum of the squares of the first two numbers. So, the first series is correct.

### Step 2: Analyze the Second Series (10, 9, 184)

- Now, we look at the second series with the numbers 10 and 9.
- We calculate the square of each number:
- \(10^2 = 100\)
- \(9^2 = 81\)

- We add these squares together:
- \(100 + 81 = 181\)

- The third number in the series is 184, but we found that the sum of the squares is 181. Therefore, the third number in this series is incorrect.

### Conclusion

- The first series is correct, while the second series has an incorrect third number. The correct sum of the squares for the second series should be 181 instead of 184.

### Final Answer

The wrong number in the second series is **184**.