In each of the following questions , three statements of numbers following same rules are given . Find the rule and accordingly find the value of the number ?
If `36 xx 92 = 9623, 25 xx 82 = 8522 , 68 xx 75 = 7856` then `47 xx 52 = ?`

Options

A. 5742
B. 5274
C. 7427
D. 5724

Explanation

To solve the problem, we need to identify the pattern from the given statements and then apply that pattern to find the value of `47 xx 52`.

### Step-by-Step Solution:

1. **Identify the Pattern:**
- From the first statement: `36 xx 92 = 9623`
- The digits of the result `9623` can be derived as follows:
- 9 is the first digit of the second number (92).
- 6 is the second digit of the first number (36).
- 2 is the second digit of the second number (92).
- 3 is the first digit of the first number (36).
- So, the pattern is:
- 1st digit of 2nd number, 2nd digit of 1st number, 2nd digit of 2nd number, 1st digit of 1st number.

2. **Check the Pattern with the Second Statement:**
- From the second statement: `25 xx 82 = 8522`
- The digits of the result `8522` can be derived as follows:
- 8 is the first digit of the second number (82).
- 5 is the second digit of the first number (25).
- 2 is the second digit of the second number (82).
- 2 is the first digit of the first number (25).
- The pattern holds true here as well.

3. **Check the Pattern with the Third Statement:**
- From the third statement: `68 xx 75 = 7856`
- The digits of the result `7856` can be derived as follows:
- 7 is the first digit of the second number (75).
- 8 is the second digit of the first number (68).
- 5 is the second digit of the second number (75).
- 6 is the first digit of the first number (68).
- The pattern is consistent.

4. **Apply the Pattern to Find `47 xx 52`:**
- Now we apply the same pattern to `47 xx 52`:
- First digit of the second number (52) = 5
- Second digit of the first number (47) = 7
- Second digit of the second number (52) = 2
- First digit of the first number (47) = 4
- Therefore, the result will be: `5724`.

### Final Answer:
`47 xx 52 = 5724`