Which of the following equations has two real and distinct roots ?

1. 2x² - $3\sqrt{2}x + \dfrac{9}{4}$ = 0

2. x² + x - 5 = 0

3. x² + 3x + $2\sqrt{2}$ = 0

4. 7x² - 3x + 1 = 0

The value of polynomial x² - $2\sqrt{2}$x + 3 when x = $2\sqrt{2}$ is :

1. -$\sqrt{2}$

2. $\sqrt{2}$

3. $2\sqrt{2}$

4. 3

$\begin{bmatrix$}[r] 7 & -4 \ 3 & 8 \end{bmatrix} = \begin{bmatrix}[r] p & q \ r & s \end{bmatrix}\begin{bmatrix}[r] 1 & 0 \ 0 & 1 \end{bmatrix}, the values of p, q, r and s are respectively :

1. p = 7, q = 3, r = -4 and s = 8

2. p = 7, q = -4, r = 3 and s = 8

3. p = -4, q = 7, r = 8 and s = 3

4. p = 3, q = 8, r = 7 and s = -4

If the sum of three numbers in A.P. is 48; then the middle term is :

1. 16

2. 18

3. 12

4. 6