What must be subtracted from the polynomial x³ + x² - 2x + 1, so that the result is exactly divisible by (x - 3)?

1. –31

2. –30

3. 30

4. 31

The roots of the quadratic equation px² - qx + r = 0 are real and equal if :

(a) p² = 4qr

(b) q² = 4pr

(c) –q² = 4pr

(d) p² > 4qr

If matrix 𝐴 = $\begin{bmatrix$}[r] 2 & 2 \ 0 & 2 \end{bmatrix}\text{ and } A^2 = \begin{bmatrix}[r] 4 & x \ 0 & 4 \end{bmatrix}, then the value of x is :

1. 2

2. 4

3. 8

4. 10

The median of the following observations arranged in ascending order is 64. Find the value of x :

27, 31, 46, 52, x, x + 4, 71, 79, 85, 90

1. 60

2. 61

3. 62

4. 66