What will come in place of the question mark (?) in the following questions ?
`(5^2-14+1450)/5=1998-:?`

Options

A. 5.55
B. 6.83
C. 5.91
D. 4.32

Answer

To solve the equation \((5^2 - 14 + 1450) / 5 = 1998 - ?\), we will follow these steps:

### Step 1: Calculate \(5^2\)
First, we need to calculate \(5^2\):
\[ 5^2 = 25 \]

**Hint:** Remember that squaring a number means multiplying it by itself.

### Step 2: Substitute and simplify the left side
Now, substitute \(25\) back into the equation:
\[ (25 - 14 + 1450) / 5 \]

Next, simplify the expression inside the parentheses:
\[ 25 - 14 = 11 \]
\[ 11 + 1450 = 1461 \]

So now we have:
\[ (1461) / 5 \]

**Hint:** Always perform operations inside parentheses first.

### Step 3: Divide by 5
Now, divide \(1461\) by \(5\):
\[ 1461 / 5 = 292.2 \]

**Hint:** Division can also be thought of as finding how many times one number fits into another.

### Step 4: Set up the equation
Now we can set up the equation:
\[ 292.2 = 1998 - ? \]

**Hint:** Rearranging the equation can help isolate the variable.

### Step 5: Solve for ?
To find \(?\), we can rearrange the equation:
\[ ? = 1998 - 292.2 \]
Now, calculate:
\[ ? = 1998 - 292.2 = 1705.8 \]

**Hint:** When subtracting, make sure to align the decimal points for accuracy.

### Step 6: Final calculation
Now we can check our answer:
If \(? = 1705.8\), we can verify by substituting back into the original equation.

### Conclusion
After performing all calculations, we find that the value that comes in place of the question mark is approximately \(1705.8\).

### Final Answer
The value of \(?\) is \(1705.8\).