What should come in place of the question mark (?) in the following questions ?
`206 xx 71 - 12080 = ?`

Options

A. 2546
B. 2654
C. 2564
D. 2645

Answer

To solve the equation \( 206 \times 71 - 12080 = ? \), we will follow these steps:

### Step 1: Multiply 206 by 71
First, we need to perform the multiplication:

\[ 206 \times 71 \]

Calculating this step-by-step:
- \( 206 \times 1 = 206 \)
- \( 206 \times 70 = 206 \times (7 \times 10) = (206 \times 7) \times 10 \)

Now, calculate \( 206 \times 7 \):
- \( 7 \times 6 = 42 \) (write down 2 and carry over 4)
- \( 7 \times 0 = 0 \) plus the carry over 4 gives us 4
- \( 7 \times 2 = 14 \)

So, \( 206 \times 7 = 1442 \). Now, multiply by 10:
\[ 206 \times 70 = 14420 \]

Now, add the two results:
\[ 206 + 14420 = 14626 \]

### Step 2: Subtract 12080 from the result
Now, we will subtract \( 12080 \) from \( 14626 \):
\[ 14626 - 12080 \]

Calculating this step-by-step:
- From the units place: \( 6 - 0 = 6 \)
- From the tens place: \( 2 - 8 \) (we need to borrow, so it becomes \( 12 - 8 = 4 \))
- From the hundreds place: \( 5 - 0 = 5 \) (after borrowing)
- From the thousands place: \( 4 - 2 = 2 \)
- From the ten-thousands place: \( 1 - 1 = 0 \)

So, the result is:
\[ 2546 \]

### Final Answer
Thus, the value that should come in place of the question mark (?) is:
\[ \boxed{2546} \]

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