Some question are solved on the basis of certain pattern. On the same basis find out the correct answer for the unsolved equation.
A=3 (21) 247, B = 5 (?) 407, C = 7(49)567

Options

A. 28
B. 25
C. 35
D. 38

Explanation

To solve the problem, we need to identify the pattern in the given equations. Let's break it down step by step.

### Step 1: Analyze the given equations
We have three equations:
1. A = 3 (21) 247
2. B = 5 (?) 407
3. C = 7 (49) 567

We need to find the value represented by the question mark (?) in equation B.

### Step 2: Identify the pattern
Let's look at the first and third equations to find a pattern.

For A:
- The first number is 3.
- The second number is 21.
- The third number is 247.

If we add the first two numbers:
\[ 3 + 21 = 24 \]

Now, if we look at the third number, 247, we can see that:
\[ 24 + 3 = 27 \] (This does not match 247)

Let's try another approach.

For C:
- The first number is 7.
- The second number is 49.
- The third number is 567.

Adding the first two numbers:
\[ 7 + 49 = 56 \]

Now, if we look at the third number, 567, we can see that:
\[ 56 + 7 = 63 \] (This does not match 567)

### Step 3: Check the relationship with the third number
Let’s check if there’s a multiplication involved.

For A:
- \( 3 \times 21 = 63 \)
- Then adding 3 gives us \( 63 + 3 = 66 \) (This does not match 247)

For C:
- \( 7 \times 49 = 343 \)
- Then adding 7 gives us \( 343 + 7 = 350 \) (This does not match 567)

### Step 4: Re-evaluate the pattern
Let’s check if the third number can be derived from the first two numbers in a different way.

For A:
- \( 3 \times 21 + 3 = 63 + 3 = 66 \) (Still does not match)

For C:
- \( 7 \times 49 + 7 = 343 + 7 = 350 \) (Still does not match)

### Step 5: Find a consistent pattern
Let’s check if the third number is related to the sum of the first two numbers in a different way.

For A:
- \( 3 + 21 = 24 \)
- \( 3 \times 21 = 63 \)
- The third number 247 seems to be unrelated.

For C:
- \( 7 + 49 = 56 \)
- \( 7 \times 49 = 343 \)

### Step 6: Establish the equation for B
Now, let's apply the same logic to B:
- The first number is 5.
- The second number is ?.
- The third number is 407.

Let’s assume the second number is x.
So, we need to find x such that:
\[ 5 + x = 40 \] (This is the pattern we are trying to establish)

### Step 7: Solve for x
From the equation \( 5 + x = 40 \):
\[ x = 40 - 5 \]
\[ x = 35 \]

### Conclusion
Thus, the value represented by the question mark (?) in equation B is 35.