What comes at the place of question (?) mark :
`460 + 927 - 433 + ? = (31)^(2)`

Options

A. 1
B. 9
C. 3
D. 7

Answer

To solve the equation \( 460 + 927 - 433 + ? = (31)^2 \), we will follow these steps:

### Step 1: Calculate \( (31)^2 \)
First, we need to find the value of \( (31)^2 \):
\[ (31)^2 = 961 \]

### Step 2: Rewrite the equation
Now we can rewrite the equation with the calculated value:
\[ 460 + 927 - 433 + ? = 961 \]

### Step 3: Simplify the left side
Next, we will simplify the left side of the equation:
\[ 460 + 927 = 1387 \]
Now subtract \( 433 \):
\[ 1387 - 433 = 954 \]
So, the equation now looks like this:
\[ 954 + ? = 961 \]

### Step 4: Isolate the question mark
To find the value of \( ? \), we will isolate it by subtracting \( 954 \) from both sides:
\[ ? = 961 - 954 \]

### Step 5: Calculate the value of ?
Now we perform the subtraction:
\[ ? = 7 \]

Thus, the value that comes at the place of the question mark is \( 7 \).

### Final Answer
The answer is \( 7 \).

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