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

The correct option is 17.

We are given the algebraic equation:

$78\times 26÷6+1262=1311+{?}^2$

Let the unknown value represented by the question mark (?) be x. The equation becomes:

$78\times 26÷6+1262=1311+x^2$

Step 1: According to BODMAS/PEMDAS rules, division and multiplication are calculated first from left to right. Divide 26 by 6 or simplify the multiplication/division part:

$78÷6=13$

Now multiply 13 by 26:

$13\times 26=338$

Step 2: Substitute 338 back into the left side of the equation and add 1262:

$338+1262=1600$

Step 3: Set the simplified left side equal to the right side of the equation:

$1600=1311+x^2$

Subtract 1311 from both sides to isolate x²:

$x^2=1600-1311$

$x^2=289$

Step 4: Take the square root of both sides to solve for x:

$x=\sqrt{289}=17$

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