If $A = \begin{bmatrix} 1 & 0 \\ -1 & 7 \end{bmatrix}, I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$ and $A^2 = 8A + kI$, the value of k is :

If $A = \begin{bmatrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{bmatrix}$ and $B = \begin{bmatrix} a_1 & a_2 & a_3 \\ b_1 & b_2 & b_3 \\ c_1 & c_2 & c_3 \end{bmatrix}$, then AB is equals to :

Which of the following are true for the given graph.

(A) Break even point is at x = 10

(B) Break even point is at x = 8

(C) Break even point is at x = 6

(D) Fixed cost is 20

(E) Fixed cost is 0

Choose the correct answer from the options :

The longest side of a triangle is 4 times the shortest side and the third side is 3 cm shorter than the longest side. If the perimeter of the triangle is at least 69 cm, then the minimum length of the shortest side is:

If A and B are events such that $P(A/B) = P(B/A)$, then :

If a matrix A is both symmetric and skew symmetric then :

The least positive integer X satisfying $28 \equiv x (\mod 6)$ is :