What will come in the place of question (?) mark in following the question:

$({16}^2+{30}^2)-?=1000$

The correct option is 156.

To find the value that replaces the question mark (?), we can set up the equation as follows:

Let the unknown value be $x$.

The given equation is:

$({16}^2+{30}^2)-x=1000$

Step 1: Calculate the squares of the numbers inside the parentheses.

First, find the square of 16:

${16}^2=16\times 16=256$

Next, find the square of 30:

${30}^2=30\times 30=900$

Step 2: Add the two squared values together.

Substitute these values back into the expression inside the parentheses:

$256+900=1156$

Now, substitute this sum back into the original equation:

$1156-x=1000$

Step 3: Solve for $x$.

Rearrange the equation to isolate $x$:

$x=1156-1000$

Subtracting 1000 from 1156 gives:

$x=156$

Therefore, the value that should replace the question mark is 156.