Choose one number which is similar to the numbers in the given set of three numbers.
Given set : 992, 733, 845

Options

A. 114
B. 326
C. 425
D. 947

Explanation

To solve the problem, we need to find a number from the given options that follows the same pattern as the numbers in the set: 992, 733, and 845.

### Step-by-Step Solution:

1. **Identify the Pattern in the Given Set**:
- For each number in the set, the middle digit can be derived from the product of the first and last digits.
- The middle digit is equal to the sum of the digits of the product of the first and last digits.

2. **Analyze the First Number (992)**:
- First digit: 9, Last digit: 2
- Product: 9 × 2 = 18
- Sum of the digits of the product: 1 + 8 = 9 (which is the middle digit)

3. **Analyze the Second Number (733)**:
- First digit: 7, Last digit: 3
- Product: 7 × 3 = 21
- Sum of the digits of the product: 2 + 1 = 3 (which is the middle digit)

4. **Analyze the Third Number (845)**:
- First digit: 8, Last digit: 5
- Product: 8 × 5 = 40
- Sum of the digits of the product: 4 + 0 = 4 (which is the middle digit)

5. **Now, Check Each Option**:
- **Option 1: 114**
- First digit: 1, Last digit: 4
- Product: 1 × 4 = 4
- Sum of the digits of the product: 4 (not equal to middle digit 1)
- **Eliminate Option 1**

- **Option 2: 326**
- First digit: 3, Last digit: 6
- Product: 3 × 6 = 18
- Sum of the digits of the product: 1 + 8 = 9 (not equal to middle digit 2)
- **Eliminate Option 2**

- **Option 3: 425**
- First digit: 4, Last digit: 5
- Product: 4 × 5 = 20
- Sum of the digits of the product: 2 + 0 = 2 (equal to middle digit 2)
- **Keep Option 3**

- **Option 4: 947**
- First digit: 9, Last digit: 7
- Product: 9 × 7 = 63
- Sum of the digits of the product: 6 + 3 = 9 (not equal to middle digit 4)
- **Eliminate Option 4**

6. **Conclusion**:
- The only option that follows the same pattern as the numbers in the given set is **Option 3: 425**.

### Final Answer:
**Option 3: 425**