CMAT Quadratic Equations Questions

Given below are two statements:
Statement I : If the roots of a quadratic equation are 2 and 3, then the equation is $$x^{2} - 5x- 6 = 0$$ 
Statement II: If the roots of $$4x^{2}+3kx + 9 = 0$$ are real and distinct, then $$k \leq - 4$$ or $$k \geq 4$$
In the light of the above statements, choose the most appropriate answer from the options given below:

If (x + y) = 3, xy = 2, then what is the value of $$x^3+y^3$$:

If $$x^{2}-3x+2$$ is a factor of $$x^{4}-px^{2}+q$$, then (p,q) =

Meera and Sarika attempted to solve a quadratic equation in x. Sarika made a mistake in reading the coefficient of x and obtained the roots as 12 and 16. Meera made a mistake in reading the constant term of the equation. She obtained the roots as-22 and - 6. The corrects root(s) is (are) :
(A) -16
(B) -12
(C) 12
(D) 16

Choose the correct answer from the options given below: