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 `4 xx 8 = 42, 6 xx 4 = 23 ,8 xx 6 = 34`, then `2 xx 4 = ?`

Options

A. 25
B. 21
C. 26
D. 42

Explanation

To solve the problem, we need to identify the pattern used in the given equations. Let's analyze the statements one by one.

### Step 1: Analyze the first statement
**Given:** \( 4 \, \text{xx} \, 8 = 42 \)

1. Combine the two numbers: \( 4 \) and \( 8 \) to form \( 48 \).
2. Divide by \( 2 \):
\[ \frac{48}{2} = 24 \]
3. Reverse the digits of \( 24 \) to get \( 42 \).

### Step 2: Analyze the second statement
**Given:** \( 6 \, \text{xx} \, 4 = 23 \)

1. Combine the two numbers: \( 6 \) and \( 4 \) to form \( 64 \).
2. Divide by \( 2 \):
\[ \frac{64}{2} = 32 \]
3. Reverse the digits of \( 32 \) to get \( 23 \).

### Step 3: Analyze the third statement
**Given:** \( 8 \, \text{xx} \, 6 = 34 \)

1. Combine the two numbers: \( 8 \) and \( 6 \) to form \( 86 \).
2. Divide by \( 2 \):
\[ \frac{86}{2} = 43 \]
3. Reverse the digits of \( 43 \) to get \( 34 \).

### Step 4: Apply the same rule to find \( 2 \, \text{xx} \, 4 \)
**Now we need to find:** \( 2 \, \text{xx} \, 4 = ? \)

1. Combine the two numbers: \( 2 \) and \( 4 \) to form \( 24 \).
2. Divide by \( 2 \):
\[ \frac{24}{2} = 12 \]
3. Reverse the digits of \( 12 \) to get \( 21 \).

### Final Answer
Thus, \( 2 \, \text{xx} \, 4 = 21 \).

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