If ` 56 xx 11 = 9 ,
37 xx 13 =6,
42 xx 12 =3 `,
then find the value of `87 xx77`.

यदि `56 xx 11 =9 , 37 xx 13 =6 , 42 xx 12 = 3`, तो `87xx77` का मान बताइए।

Options

A. 1
B. 2
C. 3
D. 4

Explanation

To solve the problem, we need to identify a pattern or rule that applies to the given equations. Let's analyze the provided equations step by step.

### Step 1: Analyze the given equations
We have the following equations:
1. \( 56 \times 11 = 9 \)
2. \( 37 \times 13 = 6 \)
3. \( 42 \times 12 = 3 \)

### Step 2: Identify a pattern
Let's break down the numbers in each equation to see if there's a consistent operation that leads to the results.

1. For \( 56 \times 11 = 9 \):
- The sum of the digits of 56 is \( 5 + 6 = 11 \).
- The sum of the digits of 11 is \( 1 + 1 = 2 \).
- Now, \( 11 - 2 = 9 \).

2. For \( 37 \times 13 = 6 \):
- The sum of the digits of 37 is \( 3 + 7 = 10 \).
- The sum of the digits of 13 is \( 1 + 3 = 4 \).
- Now, \( 10 - 4 = 6 \).

3. For \( 42 \times 12 = 3 \):
- The sum of the digits of 42 is \( 4 + 2 = 6 \).
- The sum of the digits of 12 is \( 1 + 2 = 3 \).
- Now, \( 6 - 3 = 3 \).

### Step 3: Apply the same pattern to \( 87 \times 77 \)
Now, let's apply the same logic to find \( 87 \times 77 \):

1. Calculate the sum of the digits of 87:
- \( 8 + 7 = 15 \)

2. Calculate the sum of the digits of 77:
- \( 7 + 7 = 14 \)

3. Now, subtract the second sum from the first:
- \( 15 - 14 = 1 \)

### Conclusion
Thus, the value of \( 87 \times 77 \) is \( 1 \).

### Final Answer
The value of \( 87 \times 77 \) is \( 1 \).

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