Complete the table below:

$\begin{array}{ccc}Output\left(Units\right)& AverageCost(Rs.)& MarginalCost(Rs.)\\ 1& 12& -\\ 2& 10& -\\ 3& -& 10\\ 4& 10.5& -\\ 5& 11& -\\ 6& -& 17\end{array}$

Q. The value of $\left|\begin{array}{ccc}103& 115& 114\\ 111& 108& 106\\ 104& 113& 116\end{array}\right|+\left|\begin{array}{ccc}113& 116& 104\\ 108& 106& 111\\ 115& 114& 103\end{array}\right|$ is

Q. The value of sum of the given determinants,
$|A|=\left|\begin{array}{ccc}103& 115& 114\\ 111& 108& 106\\ 104& 113& 116\end{array}\right|,|B|=\left|\begin{array}{ccc}113& 116& 104\\ 108& 106& 111\\ 115& 114& 103\end{array}\right|$ is

Q. The sum of the series $1+\frac{2}{11}+\frac{5}{{11}^2}+\frac{10}{{11}^3}+\frac{17}{{11}^4}+..$ is

Q. Observe the pattern and fill in the missing numbers.
10 × 12 = (11 – 1)(11 + 1) = ${11}^2$ – 1​
11 × 13 = (12 – 1)(12 + 1)​ = ${12}^2$ – 1
12 × 14 = (13 – 1)(13 + 1) = ${13}^2$ – 1
13 × 15​ = (– 1)( + 1) = – 1​
16 × = (17 – 1)(17 + 1) = – 1

Q. Find the missing number in the following table:
$\begin{array}{ccc}4& 4& 68\\ 5& 1& 126\\ 7& 5& ?\end{array}$