What will come in place of question mark (?) in the following questions.
$78\times 26÷6+1262=1311+{?}^2$

The correct option is 17.

To find the value that comes in place of the question mark (?), let us set up the equation using the given expression:

$78\times 26÷6+1262=1311+{?}^2$

Step 1: Follow the order of operations (BODMAS/PEMDAS). First, perform division and multiplication from left to right.

Divide 26 by 6 or 78 by 6. Since 78 is divisible by 6:

$78÷6=13$

Step 2: Multiply the result by 26:

$13\times 26=338$

Step 3: Add 1262 to the result:

$338+1262=1600$

Step 4: Now substitute this value back into the original equation:

$1600=1311+{?}^2$

Step 5: Subtract 1311 from 1600 to isolate ${?}^2$:

${?}^2=1600-1311$

${?}^2=289$

Step 6: Take the square root of both sides to find the value of ?:

$?=\sqrt{289}=17$

Therefore, the value in place of the question mark (?) is 17.