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 comes in place of the question mark (?), we can set up the given mathematical equation and solve it step-by-step:

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

First, let's calculate the values of the individual terms in the equation:

1. Find the square of 32:

${32}^2=32\times 32=1024$

2. Find the cube of 9:

$9^3=9\times 9\times 9=729$

Now, substitute these calculated values back into the equation:

$1024-729+29={?}^2$

Perform the addition and subtraction operations from left to right:

1. Subtract 729 from 1024:

$1024-729=295$

2. Add 29 to the result:

$295+29=324$

So, the equation simplifies to:

${?}^2=324$

To find the value of (?), we take the square root of both sides:

$?=\sqrt{324}$

Since 18 multiplied by 18 is 324:

$?=18$

Therefore, 18 is the correct value that replaces the question mark (?).