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 `2 xx 8 = 4, 3 xx 27 = 9, 6 xx 24 = 4`, then `5 xx 40 = ?`

Options

A. 12
B. 10
C. 8
D. 6

Explanation

To solve the problem, we need to identify the rule applied in the given statements. Let's analyze the statements one by one:

1. **Statement 1:** \(2 \, \text{xx} \, 8 = 4\)
- Here, we can see that if we divide the second number (8) by the first number (2), we get:
\[ \frac{8}{2} = 4 \]

2. **Statement 2:** \(3 \, \text{xx} \, 27 = 9\)
- Similarly, if we divide the second number (27) by the first number (3), we have:
\[ \frac{27}{3} = 9 \]

3. **Statement 3:** \(6 \, \text{xx} \, 24 = 4\)
- Again, dividing the second number (24) by the first number (6) gives us:
\[ \frac{24}{6} = 4 \]

From the analysis of the three statements, we can conclude that the rule is to divide the second number by the first number.

Now, we can apply this rule to find the value of \(5 \, \text{xx} \, 40\):

4. **Finding the value of \(5 \, \text{xx} \, 40\):**
- We divide the second number (40) by the first number (5):
\[ \frac{40}{5} = 8 \]

Thus, the value of \(5 \, \text{xx} \, 40\) is \(8\).

### Final Answer:
\[ 5 \, \text{xx} \, 40 = 8 \]