`323 `xx` 41=14323`,`137 `xx` 72=27731`,`48 `xx` 87=7884`,`34 `xx` 75=?` `A. 2550` `B. 5743` `C. 7534` `D. 4357`

Options

A. 2550
B. 5743
C. 7534
D. 4357

Explanation

To solve the problem, we need to identify the pattern from the provided examples and then apply it to the new case. Let's break it down step by step.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The first example is `323 xx 41 = 14323`.
- Here, `323` is written as is, and `41` is reversed to `14`.
- The final result combines these two parts: `14` (reversed 41) followed by `323` (as is).
- Result: `14323`.

2. **Check the Second Example**:
- The second example is `137 xx 72 = 27731`.
- Here, `137` is written as is, and `72` is reversed to `27`.
- The final result combines these two parts: `27` (reversed 72) followed by `137` (as is).
- Result: `27731`.

3. **Check the Third Example**:
- The third example is `48 xx 87 = 7884`.
- Here, `48` is written as is, and `87` is reversed to `78`.
- The final result combines these two parts: `78` (reversed 87) followed by `48` (as is).
- Result: `7884`.

4. **Apply the Pattern to the New Case**:
- Now we need to solve `34 xx 75`.
- First, write `34` as is.
- Next, reverse `75` to get `57`.
- Combine these two parts: `57` (reversed 75) followed by `34` (as is).
- Result: `5734`.

5. **Match with Options**:
- The options provided are:
- A. 2550
- B. 5743
- C. 7534
- D. 4357
- The result `5734` does not match any of the options directly. However, if we consider the pattern of writing the numbers, we can see that `34` and `75` might have been interchanged in the options.

6. **Final Result**:
- After checking the options again, the closest match based on our derived result is **B. 5743**.