the least non-negative remainder when $3^{17}$ is divided by 7 is :

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 :

The number of all possible matrices of order 3 $\times$ 3 with each entry 2 or 3 is.

If $P = \begin{bmatrix} -2 & 2 & 0 \\ 3 & 1 & 4 \end{bmatrix}$ and $Q = \begin{bmatrix} 2 & 0 & -2 \\ 7 & 1 & 6 \end{bmatrix}$, If $5Q - 3P + 2R = 0$, then the matrix R is

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 :

If A is square matrix of order 3 with $|A| = 3$, then $|4 \text{ adj} A|$ is equal to :