Direction (41–52): What will come in the place of (?) mark in following question?

${32}^2-9^3+29={?}^2$

The correct answer is 18.

To find the value that should replace the question mark, we can simplify the given mathematical expression step-by-step.

The given equation is:
${32}^2-9^3+29={?}^2$

First, we calculate the values of the exponent terms:
1. Calculate the square of 32:
${32}^2=32\times 32=1024$
2. Calculate the cube of 9:
$9^3=9\times 9\times 9=729$

Substitute these values back into the equation:
$1024-729+29={?}^2$

Now, perform the arithmetic operations from left to right:
Subtract 729 from 1024:
$1024-729=295$
Then, add 29 to the result:
$295+29=324$

Now, we have:
${?}^2=324$

To find the value of the question mark, take the square root of 324:
$?=\sqrt{324}$
$?=18$

Thus, the value in place of the question mark is 18.